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{"id":6188,"date":"2022-03-20T13:03:13","date_gmt":"2022-03-20T07:18:13","guid":{"rendered":"https:\/\/eponlinestudy.com\/?p=6188"},"modified":"2022-03-20T13:04:33","modified_gmt":"2022-03-20T07:19:33","slug":"inventory-management-economic-order-quantity-tu-solution-eoq-units-eoq-cost-eoq-order","status":"publish","type":"post","link":"https:\/\/eponlinestudy.com\/inventory-management-economic-order-quantity-tu-solution-eoq-units-eoq-cost-eoq-order\/","title":{"rendered":"Inventory Management | Economic Order Quantity | EOQ | TU Solution"},"content":{"rendered":"

\"\"<\/p>\n

 <\/p>\n

 <\/p>\n

Economic Order Quantity | EOQ<\/span><\/b><\/h2>\n

EOQ is also known reorder quantity (ROQ). <\/span><\/p>\n

In EOQ, total cost of holding inventory is minimum and ordering cost is equal or minimum to storage cost of materials. <\/span><\/p>\n

While determining EOQ, ordering cost and carrying cost should be consider.<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Keep In Mind (KIM) <\/span><\/b><\/p>\n\n\n\n\n\n
\n

If purchasing quantity increases, carrying or holding cost also increases but ordering cost decreases.<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

If purchasing quantity decreases, carrying cost also decreases but ordering cost increases.<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Carrying cost is calculated always on purchase price not on sales price.<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0<\/span><\/p>\n

Ordering cost<\/span><\/b><\/b><\/h3>\n

Ordering cost is re-purchase cost and is repeated in nature. <\/span><\/p>\n

Purchase of large quantity of materials helps to reduce ordering cost; it includes:<\/span><\/p>\n

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Salary of staff related to purchasing, inspection and tour.<\/span><\/p>\n

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Transportation expenses, transit insurance etc.<\/span><\/p>\n

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Cost of stationery, postage, telephone, fax etc related to purchasing.<\/span><\/p>\n

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Cost of paper work as tender, quotation, advertisement etc.<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Carrying cost<\/span><\/b><\/b><\/h3>\n

It is also known keeping cost and holding cost. <\/span><\/p>\n

The carrying cost suggests purchasing small quantity of materials. <\/span><\/p>\n

If small quantity is purchased, the storage cost will be low. <\/span><\/p>\n

It is the expenses related to after material purchased; it includes:<\/span><\/p>\n

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Salary of store keeper and related to holding of materials.<\/span><\/p>\n

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Rent of go-down or warehouse<\/span><\/p>\n

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Insurance cost of materials<\/span><\/p>\n

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Interest on capital which is blocked on materials purchased<\/span><\/p>\n

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Losses due to breakage, spoilage (date expired), obsolescence (old fashioned).<\/span><\/p>\n

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Desire rate of return from investment in inventory.<\/span><\/p>\n

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Cost of stationery, postage, telephone, fax, e-mail etc related to holding of materials etc.<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Keep in Mind (KIM) <\/span><\/b><\/p>\n\n\n\n\n\n\n\n\n\n
\n

Some important synonyms or abbreviations<\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

\n

A <\/span><\/b>= annual requirement or need<\/b><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

O <\/span><\/b>= ordering cost per order, administrative cost per order, procurement cost per order<\/b><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

C<\/span><\/b> = carrying cost per order, holding cost per order, production cost per order<\/b><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

P<\/span><\/b> = purchase price per unit, cost per unit<\/b><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Q <\/span><\/b>= quantity size or order size<\/b><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

SQRT<\/span><\/b> = square root or <\/span>\u221a<\/span><\/b><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Assumption to Determine the Economic Order Quantity<\/span><\/b><\/b><\/p>\n

Major assumptions of EOQ are given below: <\/span><\/p>\n

The fixed quantity is ordered at each re-ordering point.<\/span><\/p>\n

Time lag in the placement of an order and its delivery, annual demand, carrying cost and ordering are certain.<\/span><\/p>\n

Purchase price of an item is unaffected by the quantity ordered.<\/span><\/p>\n

No stock outs occur.<\/span><\/p>\n

While determining the economic order quantity, the management considers the cost of quality only to the extent that these costs affected ordering costs or carrying costs.<\/span><\/p>\n

\u00a0<\/span><\/p>\n

EOQ can be determined in three ways; they are:<\/span><\/b><\/p>\n

1. Mathematical or formula method<\/span><\/p>\n

2. Trial and error method<\/span><\/p>\n

3. Graphic method\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Formulas for EOQ<\/span><\/b><\/h3>\n

Here, SQRT means square root <\/span><\/i><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

EOQ (in units)<\/span><\/p>\n<\/td>\n

\n

= SQRT 2AO \u00f7<\/span> C <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

EOQ (in order)<\/span><\/p>\n<\/td>\n

\n

= A \u00f7<\/span>\u00a0 EOQ units<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

EOQ (in cost)<\/span><\/p>\n<\/td>\n

\n

= SQRT 2AOC<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Average period between the orders<\/span><\/p>\n<\/td>\n

\n

= <\/span>EOQ units \u00d7 Days in year \u00f7<\/span> Annual require <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Length of inventory circle<\/span><\/p>\n<\/td>\n

\n

=<\/span> <\/b>Days in year \u00f7<\/span> No. of order<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Or <\/span><\/p>\n<\/td>\n

\n

= <\/span>EOQ units \u00f7<\/span> Daily use<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

EOQ total cost, there are different methods to find out total cost<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Total cost excluding cost of materials (order size is NOT given)<\/span><\/p>\n<\/td>\n

\n

= SQRT 2AOC <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Total cost including cost of materials (order size is NOT given)<\/span><\/p>\n<\/td>\n

\n

= (A\u00d7P) +<\/span> SQRT 2AOC<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Total cost including cost of materials discount (order size is NOT given)<\/span><\/p>\n<\/td>\n

\n

= (A\u00d7P \u2013 Discount) +<\/span> SQRT 2AOC<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Total cost excluding cost of materials (order size is given)<\/span><\/p>\n<\/td>\n

\n

= (AO \u00f7 Q) +<\/span> (QC \u00f7 2)<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Total cost excluding cost of materials with discount (order size is given)<\/span><\/p>\n<\/td>\n

\n

= (AO \u00f7 Q) +<\/span> (QC \u00f7 2) \u2013<\/span> Discount<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Total cost including cost of materials (order size is given)<\/span><\/p>\n<\/td>\n

\n

= (A\u00d7P) +<\/span> (AO \u00f7 Q) +<\/span> (QC \u00f7 2)<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Total cost including cost of materials with discount policy <\/span><\/p>\n<\/td>\n

\n

= (A\u00d7P \u2013 Discount) +<\/span> (AO \u00f7 Q) +<\/span> (QC \u00f7 2)<\/span><\/p>\n<\/td>\n<\/tr>\n

<\/p>\n

\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n

<\/tbody>\n<\/table>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Click on the photo for FREE <\/span><\/b>e<\/span><\/b>Books<\/span><\/b><\/p>\n

\"\"<\/span><\/a><\/span><\/p>\n

\u00a0<\/span><\/span><\/p>\n

\u00a0<\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

Brief Answer Question <\/span><\/b><\/h3>\n

2072, Q: 6<\/span><\/b><\/p>\n

The following extracted information are given:<\/span><\/p>\n

EOQ \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4,000 units<\/span><\/p>\n

Ordering cost per order \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 160<\/span><\/p>\n

Carrying cost per unit \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 2<\/span><\/p>\n

Required: Annual requirement <\/span><\/p>\n

[Answer: A = 100,000 units]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Here, SQRT means square root <\/span><\/i><\/p>\n

Annual requirement<\/span><\/b><\/p>\n\n\n\n\n\n\n\n\n\n
\n

EOQ<\/span><\/p>\n<\/td>\n

\n

= SQRT 2AO \u00f7<\/span> C<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

4,000<\/span><\/p>\n<\/td>\n

\n

= SQRT 2 \u00d7 A \u00d7 Rs 160 \u00f7<\/span> Rs 2<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

4,000<\/span><\/p>\n<\/td>\n

\n

= SQRT 160A<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

(4,000)2<\/sup><\/span><\/p>\n<\/td>\n

\n

= SQRT 160A \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 squaring both sides<\/i> <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

16,000,000<\/span><\/p>\n<\/td>\n

\n

= 160A<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

A<\/span><\/p>\n<\/td>\n

\n

= 16000000 \u00f7 160<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n

\n

= 100,000 units <\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

2073, Q: 6<\/span><\/b><\/p>\n

The following extracted information of A Manufacturing Company are provided:<\/span><\/p>\n

Annual requirement \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 36,000 units<\/span><\/p>\n

Material cost per unit\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 20<\/span><\/p>\n

Carrying cost per unit \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10% of inventory value<\/span><\/p>\n

Ordering cost per order\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 10<\/span><\/p>\n

Required: Total cost at EOQ <\/span><\/p>\n

[Answer: Total cost = Rs 1,200]<\/span><\/i><\/p>\n

SOLUTION: \u00a0<\/span><\/b><\/p>\n

Carrying cost (C) = Rs 20@10% = Rs 2<\/span><\/i><\/p>\n

SQRT means square root<\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

(a) Total cost at EOQ <\/span><\/b><\/b><\/p>\n

= SQRT 2AOC \u00a0<\/span><\/p>\n

= SQRT 2 \u00d7 36,000 \u00d7 Rs 10 \u00d7 Rs 2<\/span><\/p>\n

= SQRT 14,40,000\u00a0 <\/span><\/p>\n

= Rs 1,200 <\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

2075, Q: 6<\/span><\/b><\/p>\n

A Manufacturing Company provided the following particulars: <\/span><\/p>\n

Yearly requirement \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 25,000 units<\/span><\/p>\n

Purchase price per unit\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 10<\/span><\/p>\n

Ordering cost per order\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 20<\/span><\/p>\n

Inventory carrying cost \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10% of purchase price<\/span><\/p>\n

Required: Total cost at EOQ <\/span><\/p>\n

[Answer: Total cost = Rs 1,000]<\/span><\/i><\/p>\n

SOLUTION: \u00a0<\/span><\/b><\/p>\n

Carrying cost (C) = Rs 10@10% = Re 1<\/span><\/i><\/p>\n

SQRT means square root<\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

(a) Total cost at EOQ <\/span><\/b><\/b><\/p>\n

= SQRT 2AOC \u00a0<\/span><\/p>\n

= SQRT 2 \u00d7 25,000 \u00d7 Rs 20 \u00d7 Re 1<\/span><\/p>\n

= SQRT 10,00,000\u00a0 <\/span><\/p>\n

= Rs 1,000<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

2076, Q: 9<\/span><\/b><\/p>\n

The following extracted information are given:<\/span><\/p>\n

Economic order quantity\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3,000 units<\/span><\/p>\n

Ordering cost per order \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 200<\/span><\/p>\n

Carrying cost per unit \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 1.20<\/span><\/p>\n

Required: Annual requirement <\/span><\/p>\n

[Answer: A = 27,000 units]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Here, SQRT means square root <\/span><\/i><\/p>\n

Annual requirement<\/span><\/b><\/p>\n\n\n\n\n\n\n\n\n\n
\n

EOQ<\/span><\/p>\n<\/td>\n

\n

= SQRT 2AO \u00f7<\/span> C<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

3,000<\/span><\/p>\n<\/td>\n

\n

= SQRT 2 \u00d7 A \u00d7 Rs 200 \u00f7<\/span> Rs 1.2<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

3,000<\/span><\/p>\n<\/td>\n

\n

= SQRT 333.33A<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

(3,000)2<\/sup><\/span><\/p>\n<\/td>\n

\n

= SQRT 333.33A \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 squaring both sides<\/i> <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

9,000,000<\/span><\/p>\n<\/td>\n

\n

= 333.33A<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

A<\/span><\/p>\n<\/td>\n

\n

= 9,000,000 \u00f7 333.33<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n

\n

= 27,000 units <\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

2077, Q: 6<\/span><\/b><\/p>\n

The following extracted information are given:<\/span><\/p>\n

Carrying cost per unit \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Re 0.50<\/span><\/p>\n

Ordering cost per order \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 40<\/span><\/p>\n

Economic order quantity\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1,000 units<\/span><\/p>\n

Required: Annual requirement <\/span><\/p>\n

[Answer: A = 6,250 units]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Here, SQRT means square root <\/span><\/i><\/p>\n

Annual requirement<\/span><\/b><\/p>\n\n\n\n\n\n\n\n\n\n
\n

EOQ<\/span><\/p>\n<\/td>\n

\n

= SQRT 2AO \u00f7<\/span> C<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

1,000<\/span><\/p>\n<\/td>\n

\n

= SQRT 2 \u00d7 A \u00d7 Rs 40 \u00f7<\/span> Re 0.50<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

1,000<\/span><\/p>\n<\/td>\n

\n

= SQRT 160A<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

(1,000)2<\/sup><\/span><\/p>\n<\/td>\n

\n

= SQRT 160A \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 squaring both sides<\/i> <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

1,000,000<\/span><\/p>\n<\/td>\n

\n

= 160A<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

A<\/span><\/p>\n<\/td>\n

\n

= 1,000,000 \u00f7 160<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n

\n

= 6,250 units <\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

######<\/span><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
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Click on the link for <\/span>YouTube<\/span><\/b> videos<\/span><\/p>\n<\/td>\n<\/tr>\n

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Accounting Equation<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/c89jkz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Journal Entries in Nepali<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/uaakkz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Journal Entries<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/8aakkz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Journal Entry and Ledger<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/caakkz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Ledger<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/haakkz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Subsidiary Book<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/399jkz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Cashbook<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/889jkz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Trial Balance and Adjusted Trial Balance<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/c59jkz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Bank Reconciliation Statement (BRS)<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/q59jkz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Depreciation<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/ugakkz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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\u00a0<\/span><\/p>\n<\/td>\n

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\u00a0<\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Click on the link for <\/span>YouTube<\/span><\/b> videos chapter wise\u00a0 <\/span><\/p>\n<\/td>\n

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\u00a0<\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Financial Accounting and Analysis (All videos)<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/jlersz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Accounting Process<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/mlersz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Accounting for Long Lived Assets<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/plersz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

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Analysis of Financial Statement<\/span><\/p>\n<\/td>\n

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http:\/\/tiny.cc\/slersz<\/span><\/a><\/span><\/b><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

######<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Short Answer Question <\/span><\/b><\/h3>\n

2054\/Cancelled, Q: 3<\/span><\/b><\/p>\n

Annual requirement of raw materials as reported were 480,000 kg. Procurement activities to be undertaken required expense of Rs 10,000. Monthly possession cost of raw materials per kg will be Rs 2. <\/span><\/p>\n

Suggest by applying relevant formulas: <\/span><\/p>\n

(a) Monthly optimum quantity; (b) No. of procurement to be made during the month<\/span><\/p>\n

[Answer: (a) EOQ units = 20,000 units; (b) No. of order = 2 times]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Given and working note: <\/span><\/i><\/p>\n

A = 480,000 kg<\/span><\/i><\/p>\n

Monthly A = 480,000 \u00f7 12 = 40,000<\/span><\/i><\/p>\n

O = Rs 10,000<\/span><\/i><\/p>\n

C = Rs 2<\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

(a) Monthly optimum quantity (EOQ)<\/span><\/b><\/p>\n

Here, SQRT means square root<\/span><\/i><\/p>\n

= SQRT 2AO \u00f7<\/span> C \u00a0<\/span><\/p>\n

= SQRT 2 \u00d7 40,000 \u00d7 Rs 10,000 \u00f7<\/span> Rs 2<\/span><\/p>\n

= SQRT 4,00,000,000\u00a0 <\/span><\/p>\n

= 20,000 units<\/span><\/p>\n

\u00a0<\/span><\/p>\n

(b) No. of procurement to be made during the month (EOQ in order)<\/span><\/b><\/p>\n

= A \u00f7<\/span> EOQ <\/span><\/p>\n

= 40,000 \u00f7<\/span> 20,000<\/span><\/p>\n

= 2 times<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

2058, Q: 7<\/span><\/b><\/p>\n

Following extracted information is given to you:<\/span><\/p>\n

Estimated annual demand \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 27,000 units @ Rs 2.50 per unit<\/span><\/p>\n

Cost to process a purchase order \u00a0\u00a0\u00a0 Rs 200<\/span><\/p>\n

Holding cost \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 1.20 per unit per year<\/span><\/p>\n

Safety stock \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10% EOQ units<\/span><\/p>\n

Daily uses \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 150 units<\/span><\/p>\n

Lead time \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 8 days<\/span><\/p>\n

Required: (a) EOQ units; (b) EQO in order; (c) Total cost at EOQ; (d) Length of inventory cycle<\/span><\/p>\n

[Answer: (a) EOQ = 3,000 units; (b) EOQ in order = 9 times; <\/span><\/i><\/p>\n

(c) EOQ cost = Rs 3,600; (d) LIC = 20 days]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Given and working note: <\/span><\/i><\/p>\n

A = 27,000 units<\/span><\/i><\/p>\n

P = Rs 2.50<\/span><\/i><\/p>\n

O = Rs 200<\/span><\/i><\/p>\n

C = Rs 1.20<\/span><\/i><\/p>\n

Daily uses = 150 units<\/span><\/i><\/p>\n

Days in year = A \u00f7 Daily uses = 27,000 \u00f7 150 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = 180 days<\/span><\/span><\/i><\/p>\n

\u00a0<\/span><\/i><\/p>\n

(a) EOQ in units<\/span><\/b><\/b><\/p>\n

Here, SQRT means square root<\/span><\/i><\/p>\n

= SQRT 2AO \u00f7<\/span> C \u00a0<\/span><\/p>\n

= SQRT 2 \u00d7 27,000 \u00d7 Rs 200 \u00f7<\/span> Rs 1.20<\/span><\/p>\n

= SQRT 9,000,000\u00a0 <\/span><\/p>\n

= 3,000 units<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

(b)<\/span><\/b> EOQ in order<\/b><\/span><\/p>\n

= A \u00f7<\/span> EOQ <\/span><\/p>\n

= 27,000 units \u00f7<\/span> 3,000 units<\/span><\/p>\n

= 9 times <\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

(c) Total cost at EOQ<\/span><\/b><\/p>\n

Here, SQRT means square root <\/span><\/i><\/p>\n

= SQRT 2AOC<\/span><\/p>\n

= SQRT 2 \u00d7 27,000 \u00d7 Rs 200 \u00d7 Rs 1.20<\/span><\/p>\n

= SQRT 12,960,000<\/span><\/p>\n

= Rs 3,600<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

(d) Length of inventory cycle<\/span><\/b><\/p>\n

= Days in a year \u00f7 <\/span>EOQ in order<\/span><\/p>\n

= 180 days \u00f7<\/span> 9 times<\/span><\/p>\n

= 20 days<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Alternatively<\/span><\/i> <\/i><\/p>\n

= <\/span>EOQ units \u00f7<\/span> Daily use<\/span><\/p>\n

= 3,000 units \u00f7<\/span> 150 units<\/span><\/p>\n

= 20 days <\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

2059, Q: 3<\/span><\/b><\/p>\n

Following extracted information is provided:<\/span><\/p>\n

Carrying cost per unit \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 50<\/span><\/p>\n

Economic order quantity \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 400 units<\/span><\/p>\n

Ordering cost per order \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 2,000<\/span><\/p>\n

Required: (a) Annual requirement of the materials in units; (b) Minimum average yearly cost; <\/span><\/p>\n

(c) Optimum number of order per year<\/span><\/p>\n

[Answer: (a) A = 2,000 units; (b) Total cost = Rs 20,000; (c) Order = 5 times]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Given and working note: <\/span><\/i><\/p>\n

C = Rs 50<\/span><\/i><\/p>\n

EOQ = 400 units<\/span><\/i><\/p>\n

O = Rs 2,000<\/span><\/i><\/p>\n

SQRT = square root <\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

(a) Annual requirement of the materials in units<\/span><\/b><\/b><\/p>\n<\/td>\n<\/tr>\n

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EOQ<\/span><\/p>\n<\/td>\n

\n

= SQRT 2AO \u00f7<\/span> C <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

400<\/span><\/p>\n<\/td>\n

\n

= SQRT 2\u00d7 A \u00d7 2,000 \u00f7<\/span> 50<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

400<\/span><\/p>\n<\/td>\n

\n

= SQRT 80A<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

(400)2<\/sup><\/span><\/p>\n<\/td>\n

\n

= 80A\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 squaring both sides<\/i> <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

160,000<\/span><\/p>\n<\/td>\n

\n

= 80A<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

A<\/span><\/p>\n<\/td>\n

\n

= 160,000 \u00f7 80<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n

\n

= 2,000 units<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

(b) Minimum average yearly cost<\/span><\/b><\/b><\/p>\n<\/td>\n<\/tr>\n

\n

EOQ in cost<\/span><\/p>\n<\/td>\n

\n

= SQRT 2AOC<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n

\n

= SQRT 2\u00d72,000 \u00d7 Rs 2,000 \u00d7 Rs 50<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n

\n

= SQRT 40,00,00,000<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n

\n

= Rs 20,000<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

(c) Optimum number of order per year<\/span><\/b><\/b><\/p>\n<\/td>\n<\/tr>\n

\n

EOQ in order<\/span><\/p>\n<\/td>\n

\n

= A \u00f7 EOQ units <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n

\n

= 2,000 units \u00f7 400 units <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n

\n

= 5 times<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

2060, Q: 7<\/span><\/b><\/p>\n

AB Trading House has been procuring 80,000 units costing Rs 100 each in 20 installments. The procurement cost is Rs 500 per procurement and the estimated storing cost is 20% inventory value.<\/span><\/p>\n

Required: (By applying formula where necessary)<\/span><\/p>\n

(a) Order size of existing and optimum; (b) Total cost of the existing purchasing policy<\/span><\/p>\n

(c) Total cost of optimum purchasing policy; (d) Saving of optimum purchasing policy is adopted<\/span><\/p>\n

[Answer: (a) Order size = 4,000 units and 2,000 units; (b) TC existing = Rs 50,000; <\/span><\/i><\/p>\n

(c) TC optimum = Rs 40,000; (d) Saving = Rs 10,000;<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Given and working note:\u00a0 <\/span><\/i><\/p>\n

Annual procure [A]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = 80,000 units <\/span><\/i><\/p>\n

Cost per unit [P]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 100<\/span><\/i><\/p>\n

EOQ in order \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = 20 order<\/span><\/i><\/p>\n

Procurement cost [O]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 500<\/span><\/i><\/p>\n

Storing cost[C] \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 100 @ 20% \u00a0\u00a0 = Rs 20<\/span><\/i><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Order size [Q]<\/span><\/b> existing<\/span><\/b><\/b><\/span><\/p>\n

= A \u00f7<\/span> No. of order<\/span><\/p>\n

= 80,000 units \u00f7<\/span> 20 order<\/span><\/p>\n

= 4,000 units<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Order size [Q] optimum<\/span><\/b><\/p>\n

Here, SQRT means square root <\/b><\/span><\/i><\/p>\n

= SQRT 2 \u00d7 80,000 \u00d7 Rs 500 \u00f7<\/span> Rs 20 <\/span><\/p>\n

= SQRT 40,00,000<\/span><\/p>\n

= 2,000 units<\/b><\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Total cost of the existing purchasing policy<\/span><\/b><\/p>\n

= (AO \u00f7 Q) +<\/span> (QC \u00f7 2)\u00a0 <\/span><\/p>\n

= (80,000 \u00d7 500 \u00f7 4,000) +<\/span> (4,000 \u00d7 20 \u00f7 2)<\/span><\/p>\n

= Rs 10,000 +<\/span> Rs 40,000<\/span><\/p>\n

= Rs 50,000<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Total cost of the optimum purchasing policy<\/span><\/b><\/p>\n

= (AO \u00f7 Q) +<\/span> (QC \u00f7 2) <\/span><\/p>\n

= (80,000 \u00d7 500 \u00f7 2,000) +<\/span> (2,000 \u00d7 20 \u00f7 2) <\/i><\/span><\/p>\n

= 20,000 +<\/span> 20,000<\/span><\/p>\n

= Rs 40,000<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Saving if optimum purchasing policy is adopted<\/span><\/b><\/p>\n

= <\/b>Existing policy \u2013 Optimum policy<\/span><\/p>\n

= 50,000 \u2013 40,000<\/span><\/p>\n

= Rs 10,000<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

\u00a0<\/span><\/b><\/p>\n

2060 II, Q: 4 or <\/span><\/b><\/p>\n

A Manufacturing Company has been procuring in a lot size of 2,000 (EOQ) units. Material cost per unit is Rs 25. Ordering cost is Rs 200 and the estimated holding cost is 20% of unit cost per year.<\/span><\/p>\n

Required: (1) (a) Determine annual requirement in units<\/span><\/p>\n

(b) EOQ units if the ordering cost increases to Rs 250 and cost per unit decreases to Rs 20<\/span><\/p>\n

\u00a0[Answer: (a) 50,000 units; (b 2,500 units]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Given and working note:\u00a0 <\/span><\/i><\/p>\n

EOQ \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = 2,000 units <\/span><\/i><\/p>\n

Cost per unit \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 25<\/span><\/i><\/p>\n

Ordering cost [O] \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 200<\/span><\/i><\/p>\n

Estimated holding cost [C] \u00a0\u00a0\u00a0 = Rs 25 @20% = Rs 5<\/span><\/i><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Determine annual requirement in units<\/span><\/b><\/p>\n

Here, SQRT means square root <\/span><\/i><\/p>\n\n\n\n\n\n\n\n\n
\n

\u00a0\u00a0 EOQ in units<\/span><\/p>\n<\/td>\n

\n

= SQRT 2AO \u00f7<\/span> C <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02,000<\/span><\/p>\n<\/td>\n

\n

= SQRT 2\u00d7 A \u00d7 200 \u00f7<\/span> 5 <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(2,000)2<\/sup><\/span><\/p>\n<\/td>\n

\n

= (2 \u00d7 A \u00d7 200) \u00f7<\/span> 5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 squaring both sides<\/i> <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0 \u00a0\u00a0\u00a040,00,000<\/span><\/p>\n<\/td>\n

\n

= 80 A<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

A<\/span><\/p>\n<\/td>\n

\n

= 40,00,000 \u00f7<\/span> 80<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/p>\n<\/td>\n

\n

= 50,000 units <\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0<\/span><\/b><\/p>\n

EOQ units if the order costing increases to Rs 250 and cost per unit is decreases to Rs 20<\/span><\/b><\/p>\n

New ordering cost [O] \u00a0\u00a0\u00a0\u00a0 = Rs 250<\/span><\/i><\/p>\n

New cost per unit [P]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 20<\/span><\/i><\/p>\n

New holding cost [C] \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 20@20% \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 4<\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

EOQ in units<\/span><\/b><\/p>\n

Here, SQRT means square root <\/b><\/span><\/i><\/p>\n

= SQRT 2AO \u00f7<\/span> C \u00a0<\/span><\/p>\n

= SQRT 2 \u00d7 50,000 \u00d7 Rs 250 \u00f7<\/span> Rs 4 <\/span><\/p>\n

= SQRT 62,50,000\u00a0 <\/span><\/p>\n

= 2,500 units <\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

2061 I, Q: 5 Or<\/span><\/b><\/p>\n

The following constraints to in procurement have been established for XYZ Ltd:<\/span><\/p>\n

Annual requirement is 3,00,000 units<\/span><\/p>\n

Unit purchase price Rs 8<\/span><\/p>\n

Holding cost is 25% of the purchase price<\/span><\/p>\n

Economic order quantity is 6,000 units<\/span><\/p>\n

Required: (a) Ordering cost per order; (b) Total cost at EOQ;\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/p>\n

[Answer:\u00a0 (a) Ordering cost = Rs 120; (b) TC = Rs 12,000]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Given and working note:\u00a0 <\/span><\/i><\/p>\n

Annual requirement [A]\u00a0\u00a0 = 300,000 units <\/span><\/i><\/p>\n

Cost per unit \u00a0\u00a0 = Rs 8<\/span><\/i><\/p>\n

Holding cost \u00a0\u00a0\u00a0 = Rs 8@25% \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 2<\/span><\/i><\/p>\n

EOQ units \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = 6,000<\/span><\/i><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Ordering cost per unit [O]<\/span><\/b><\/p>\n

Here, SQRT means square root <\/span><\/i>\u00a0<\/span><\/i><\/b><\/p>\n\n\n\n\n\n\n\n\n
\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 EOQ in units<\/span><\/p>\n<\/td>\n

\n

= SQRT 2AO \u00f7<\/span> C <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a06,000<\/span><\/p>\n<\/td>\n

\n

= SQRT 2\u00d7300,000\u00d7O \u00f7<\/span> 2 <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(6,000)2<\/sup><\/span><\/p>\n<\/td>\n

\n

= (2 \u00d7 300,000 \u00d7 O) \u00f7<\/span> 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 squaring both sides<\/i>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a036,000,000<\/span><\/p>\n<\/td>\n

\n

= 300,000 \u00d7 O<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

O<\/span><\/p>\n<\/td>\n

\n

= 36,000,000 \u00f7<\/span> 300,000<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/p>\n<\/td>\n

\n

= Rs 120<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0<\/span><\/p>\n

Total cost at EOQ [EOQ cost] <\/span><\/b><\/p>\n

Here, SQRT means square root <\/span><\/i><\/p>\n

= SQRT 2AOC\u00a0 <\/span><\/p>\n

= SQRT 2 \u00d7 300,000 \u00d7 Rs 120 \u00d7 Rs 2\u00a0 <\/span><\/p>\n

= SQRT 14,40,00,000\u00a0 <\/span><\/p>\n

= Rs 12,000<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

\u00a0<\/span><\/b><\/p>\n

2061 II, Q: 5 Or<\/span><\/b><\/p>\n

Consider the following extracted information of ABC Manufacturing Company:<\/span><\/p>\n

Re ordering quantity of a part\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2,000 units<\/span><\/p>\n

Holding cost per year\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 2.5<\/span><\/p>\n

Cost per unit of part\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 12.5<\/span><\/p>\n

Estimated working days in a year\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 250 days<\/span><\/p>\n

Procuring cost\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 250 per order.<\/span><\/p>\n

Required: (a) Annual demand for a part in units; (b) Average period between the orders<\/span><\/p>\n

\u00a0[Answer: A = 20,000 units; Order = 25 days] <\/span><\/i><\/p>\n

*Period = (EOQ units \u00d7 Days in year) \u00f7 Annual require <\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Given and working note:\u00a0 <\/span><\/i><\/p>\n

ROQ [EOQ] \u00a0 = 2,000 units <\/span><\/i><\/p>\n

Handling cost per units\/year [C]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 2.5<\/span><\/i><\/p>\n

Cost per unit = Rs 12.5 <\/span><\/i><\/p>\n

Estimated working days in year = 250 days<\/span><\/i><\/p>\n

Procurement cost [O] per order\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 250 <\/span><\/i><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Annual demand for a part in units [A] <\/span><\/b><\/p>\n

Here, SQRT means square root <\/span><\/i>\u00a0<\/span><\/i><\/b><\/p>\n\n\n\n\n\n\n\n\n
\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 EOQ in units<\/span><\/p>\n<\/td>\n

\n

= SQRT 2\u00d7AO \u00f7<\/span> C <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02,000<\/span><\/p>\n<\/td>\n

\n

= SQRT 2\u00d7A\u00d7250 \u00f7<\/span> 2.5 <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(2,000)2<\/sup><\/span><\/p>\n<\/td>\n

\n

= (2 \u00d7 A \u00d7 250) \u00f7<\/span> 2.5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 squaring both sides<\/i><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a040,00,000<\/span><\/p>\n<\/td>\n

\n

= 200 A<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

A<\/span><\/p>\n<\/td>\n

\n

= 4,000,000 \u00f7<\/span> 200<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/p>\n<\/td>\n

\n

= 20,000 units <\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0<\/span><\/b><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Average period between the orders <\/span><\/b><\/p>\n

= EOQ units \u00d7 Days in year \u00f7<\/span> Annual require\u00a0 <\/span><\/p>\n

= 2,000 units \u00d7 250 days \u00f7<\/span> 20,000 units <\/span><\/p>\n

= 25 days<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

\u00a0<\/span><\/b><\/p>\n

\u00a0<\/span><\/b><\/p>\n

2062, Q: 5<\/span><\/b><\/p>\n

Following extracted information for inventory requirement were given:<\/span><\/p>\n

Yearly demand for use \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 40,000 units <\/span><\/p>\n

Re-order quantity \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4,000 units <\/span><\/p>\n

Procuring cost per procurement \u00a0\u00a0\u00a0\u00a0 Rs 100<\/span><\/p>\n

Cost per unit of material \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 2<\/span><\/p>\n

Required: (a) Holding cost per unit per year; (b) Total cost at order size of 8,000 units after two percent discount \u00a0\u00a0 <\/span><\/p>\n

\u00a0[Answer: HC = Re 0.50; TC = Rs 80,900] *TC = (PV \u0336<\/span><\/i> Discount) + AO\u00f7Q + QC\u00f72<\/span><\/i><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Given and working note:\u00a0 <\/span><\/i><\/p>\n

Yearly demand for use\u00a0\u00a0\u00a0\u00a0 = 40,000 units <\/span><\/i><\/p>\n

Re-order quantity \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = 4,000 units <\/span><\/i><\/p>\n

Procurement cost [O] \u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 100<\/span><\/i><\/p>\n

Cost per unit \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 2<\/span><\/i><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Holding cost [C] <\/span><\/b><\/p>\n

Here, SQRT means square root <\/span><\/i>\u00a0<\/span><\/i><\/b><\/p>\n\n\n\n\n\n\n\n\n
\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 EOQ in units<\/span><\/p>\n<\/td>\n

\n

= SQRT 2\u00d7AO \u00f7<\/span> C <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04,000<\/span><\/p>\n<\/td>\n

\n

= SQRT 2\u00d740,000\u00d7100 \u00f7<\/span> C <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(4,000)2<\/sup><\/span><\/p>\n<\/td>\n

\n

= (2 \u00d7 40,000 \u00d7 100) \u00f7<\/span> C\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 squaring both sides<\/i><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a016,000,000<\/span><\/p>\n<\/td>\n

\n

= 800,000 \u00f7<\/span> C<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

C<\/span><\/p>\n<\/td>\n

\n

= 16,000,000 \u00f7 8000,000<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/p>\n<\/td>\n

\n

= Re 0.50 <\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0<\/span><\/b><\/p>\n

\u00a0<\/span><\/p>\n

Total cost at order size of 8,000 units after 2% discount <\/span><\/b><\/p>\n

Order size [Q] = 8,000 units <\/span><\/i><\/p>\n

Purchase cost = Annual demand \u00d7 Cost per unit\u00a0 \u00a0\u00a0\u00a0 <\/span><\/i><\/p>\n

= 40,000 units \u00d7 Rs 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/i><\/p>\n

= Rs 80,000<\/span><\/i><\/p>\n

\u00a0<\/span><\/i><\/p>\n

Discount = 80,000@ 2% = Rs 1,600<\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

Now, Total cost\u00a0\u00a0\u00a0\u00a0 <\/span><\/b><\/p>\n

= [Purchase cost \u2013 Discount] +<\/span> Ordering cost +<\/span> Carrying cost<\/b><\/span><\/p>\n

= [Purchase cost \u2013 Discount] +<\/span> (AO \u00f7 Q) +<\/span> (QC \u00f7 2)<\/span><\/p>\n

= (Rs 80,000 \u2013 1,600) +<\/span> (40,000 \u00d7 Rs 100 \u00f7 8,000) +<\/span> (80,000 \u00d7 Re 0.5 \u00f7 2) <\/span><\/p>\n

= Rs 78,400 +<\/span> Rs 500 +<\/span> Rs 2,000<\/span><\/p>\n

= Rs 80,900<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

\u00a0<\/span><\/b><\/p>\n

2064, Q: 5 Or<\/span><\/b><\/p>\n

Volt Guard Supplier is working for minimizing investment in inventory. The supplier is confident that the annual demand of volt guard will be 10,000 units for the current year. The cost estimated for placing and receiving delivery is Rs 10,000. The estimated storage costs including the opportunity costs of the investment in and store related are Rs 50 per unit per year.<\/span><\/p>\n

Required: (1) EOQ by using formula and trial and error method<\/span><\/p>\n

\u00a0[Answer: EOQ: by formula = 2,000 units; by T&E = 2,000 units]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Given and working note:\u00a0 <\/span><\/i><\/p>\n

Annual demand [A]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = 10,000 units <\/span><\/i><\/p>\n

Placing and receiving [O]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 10,000<\/span><\/i><\/p>\n

Storage cost [C] \u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 50 per unit\/year<\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

Economic order quantity in units <\/span><\/b><\/p>\n

Here, SQRT is square root <\/span><\/i><\/p>\n

= SQRT 2AO \u00f7<\/span> C<\/span><\/p>\n

= SQRT 2\u00d7 10,000 \u00d7 Rs 10,000 \u00f7<\/span> Rs 50 <\/span><\/p>\n

= SQRT 40,00,000 <\/span><\/p>\n

= 2,000 units <\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

EOQ by Trial and Error Method<\/span><\/b><\/p>\n\n\n\n\n\n\n\n\n\n\n
\n

No. of order<\/span><\/p>\n<\/td>\n

\n

a<\/span><\/p>\n<\/td>\n

\n

working note<\/span><\/p>\n<\/td>\n

\n

1<\/span><\/p>\n<\/td>\n

\n

2<\/span><\/p>\n<\/td>\n

\n

4<\/span><\/p>\n<\/td>\n

\n

5<\/span><\/p>\n<\/td>\n

\n

8<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Order size<\/span><\/p>\n<\/td>\n

\n

b<\/span><\/p>\n<\/td>\n

\n

A \u00f7 a<\/span><\/p>\n<\/td>\n

\n

10,000<\/span><\/p>\n<\/td>\n

\n

5,000<\/span><\/p>\n<\/td>\n

\n

2,500<\/span><\/p>\n<\/td>\n

\n

2,000<\/span><\/p>\n<\/td>\n

\n

1,250<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Average quantity<\/span><\/p>\n<\/td>\n

\n

c<\/span><\/p>\n<\/td>\n

\n

b \u00f7 2<\/span><\/p>\n<\/td>\n

\n

5,000<\/span><\/p>\n<\/td>\n

\n

2,500<\/span><\/p>\n<\/td>\n

\n

1,250<\/span><\/p>\n<\/td>\n

\n

1,000<\/span><\/p>\n<\/td>\n

\n

625<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Carrying cost<\/span><\/p>\n<\/td>\n

\n

d<\/span><\/p>\n<\/td>\n

\n

c \u00d7 Rs 50<\/span><\/p>\n<\/td>\n

\n

250,000<\/span><\/p>\n<\/td>\n

\n

125,000<\/span><\/p>\n<\/td>\n

\n

62,500<\/span><\/p>\n<\/td>\n

\n

50,000<\/span><\/p>\n<\/td>\n

\n

31,250<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Ordering cost<\/span><\/p>\n<\/td>\n

\n

e<\/span><\/p>\n<\/td>\n

\n

a \u00d7 Rs 10,000<\/span><\/p>\n<\/td>\n

\n

10,000<\/span><\/p>\n<\/td>\n

\n

20,000<\/span><\/p>\n<\/td>\n

\n

40,000<\/span><\/p>\n<\/td>\n

\n

50,000<\/span><\/p>\n<\/td>\n

\n

80,000<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Total cost<\/span><\/p>\n<\/td>\n

\n

f<\/span><\/p>\n<\/td>\n

\n

d + e<\/span><\/p>\n<\/td>\n

\n

260,000<\/span><\/p>\n<\/td>\n

\n

145,000<\/span><\/p>\n<\/td>\n

\n

102,500<\/span><\/p>\n<\/td>\n

\n

100,000<\/span><\/p>\n<\/td>\n

\n

111,250<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Less: Discount<\/span><\/p>\n<\/td>\n

\n

g<\/span><\/p>\n<\/td>\n

\n

working note <\/span><\/p>\n<\/td>\n

\n

Nil <\/span><\/p>\n<\/td>\n

\n

Nil <\/span><\/p>\n<\/td>\n

\n

Nil <\/span><\/p>\n<\/td>\n

\n

Nil <\/span><\/p>\n<\/td>\n

\n

Nil <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Net cost<\/span><\/p>\n<\/td>\n

\n

h<\/span><\/p>\n<\/td>\n

\n

f \u2013\u00a0 g<\/span><\/p>\n<\/td>\n

\n

260,000<\/span><\/p>\n<\/td>\n

\n

145,000<\/span><\/p>\n<\/td>\n

\n

102,500<\/span><\/p>\n<\/td>\n

\n

100,000<\/span><\/p>\n<\/td>\n

\n

111,250<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Therefore, <\/span><\/p>\n

Minimum net cost is Rs 100,000 at 2,000 units in 5th<\/sup> order. <\/span><\/p>\n

Therefore, EOQ by trial and error method is 2,000 units.<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

\u00a0<\/span><\/b><\/p>\n

2066, Q: 5 Or<\/span><\/b><\/p>\n

ABC Manufacturing Company buys its annual requirement of 18,000 units in three installments. Each unit cost Re 1 and ordering cost is Rs 25. The inventory carrying cost is estimated at 10% of unit cost.<\/span><\/p>\n

Required: (1) Order size (Q); (2) Total cost of existing inventory policy without materials cost; (3) Total cost at EOQ\u00a0\u00a0 <\/span><\/p>\n

[Answer: (1) Q = 6,000 units (2) TC = Rs 375; (3) TC = Rs 300]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Given and working note:\u00a0 <\/span><\/i><\/p>\n

Annual require (A) = 18,000 units <\/span><\/i><\/p>\n

Cost per unit (CPU) = Re 1<\/span><\/i><\/p>\n

Ordering cost (O) = Rs 25<\/span><\/i><\/p>\n

Carrying cost (C) = Re 1 @ 10%\u00a0 = Re 0.10<\/span><\/i><\/p>\n

\u00a0<\/span><\/i><\/p>\n

\u00a0<\/span><\/i><\/p>\n

Order size (Q)<\/span><\/b> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/p>\n

= A \u00f7<\/span> No. of order<\/span><\/p>\n

= 18,000 units \u00f7<\/span> 3 installments <\/span><\/p>\n

= 6,000 units<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Total cost of the existing purchasing policy<\/span><\/b><\/p>\n

= (AO \u00f7 Q) +<\/span> (QC \u00f7 2)<\/span><\/p>\n

= (18,000 \u00d7 Rs 25 \u00f7 6,000) +<\/span> (6,000 \u00d7 Re 0.10 \u00f7 2) <\/i><\/span><\/p>\n

= Rs 75 +<\/span> Rs 300<\/span><\/p>\n

= Rs 375<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Total cost at EOQ [EOQ cost]<\/span><\/b><\/p>\n

Economic order quantity <\/span><\/b><\/p>\n

Here, SQRT is square root <\/span><\/i><\/p>\n

= SQRT 2AO \u00f7<\/span> C<\/span><\/p>\n

= SQRT 2\u00d7 18,000 \u00d7 Rs 25 \u00f7<\/span> Re 0.10<\/span><\/p>\n

= SQRT 90,000 <\/span><\/p>\n

= 300 units <\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

\u00a0<\/span><\/b><\/p>\n

2067, Q: 5 Or<\/span><\/b><\/p>\n

A Factory buys certain components at Rs 40 per unit. Total annual needs of components are 5,000 units. Carrying cost of inventory is 10% per annum and ordering cost is Rs 100 per order.\u00a0 If the factory orders 5,000 units at a time, the factory will get a 4% discount from the suppliers. The discount policy does not affect the inventory carrying cost.<\/span><\/p>\n

Required: (a) Economic order quantity; (b) Total cost at EOQ with materials for existing and offer<\/span><\/p>\n

(c) Advise whether the discount can be accepted?<\/span><\/p>\n

[Answer: EOQ units = 500 units; Exiting cost = Rs 202,000; Offered = Rs 202,100]<\/span><\/i><\/p>\n

Proposed cost = Rs 202,100; Discount policy cannot be accepted;<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/p>\n

Given and working note:\u00a0\u00a0 <\/span><\/i><\/p>\n

Cost per unit (P) = Rs 40<\/span><\/i><\/p>\n

Consumption during the year (A) = 5,000 units<\/span><\/i><\/p>\n

Carrying cost (C) = 40@10 % = Rs 4<\/span><\/i><\/p>\n

Ordering cost (O) = Rs 100<\/span><\/i><\/p>\n

Order size proposed = 5,000 units <\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

(a) Economic order quantity <\/span><\/b><\/p>\n

Here, SQRT is square root <\/span><\/i><\/p>\n

= SQRT 2AO \u00f7<\/span> C<\/span><\/p>\n

= SQRT 2\u00d7 5,000 \u00d7 Rs 100 \u00f7<\/span> 4 <\/span><\/p>\n

= SQRT 250,000 <\/span><\/p>\n

= 500 units <\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

(b) Total cost with materials for existing<\/span><\/b> purchasing policy<\/b><\/span><\/p>\n

Here, SQRT means square root. <\/span><\/i><\/p>\n

Order size is NOT given<\/span><\/i><\/p>\n

= PA +<\/span> SQRT 2AOC<\/span><\/p>\n

= (5,000 \u00d7 Rs 40) +<\/span> SQRT 2 \u00d7 5,000 \u00d7 100 \u00d7 4<\/i><\/span><\/p>\n

= Rs 200,000 +<\/span> SQRT 4,000,000<\/span><\/p>\n

= Rs 200,000 +<\/span> Rs 2,000<\/span><\/p>\n

= Rs 202,000<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Total cost with materials for offer<\/span><\/b><\/p>\n

Value of materials \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = 5,000 units \u00d7 Rs 40 = Rs 200,000 <\/span><\/i><\/p>\n

Discount = 200,000 @ 4% = Rs 8,000<\/span><\/i><\/p>\n

Order size (Q) = 5,000 units <\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

= (AP \u2013 Discount) +<\/span>\u00a0\u00a0 (A\u00d7O \u00f7 Q) +<\/span> (Q\u00d7C \u00f7 2) <\/span><\/p>\n

= (Rs 200,000 \u2013 8,000) +<\/span> (5,000 \u00d7 Rs 100 \u00f7 5,000) +<\/span> (5,000 \u00d7 Rs 4 \u00f7 2) <\/span><\/p>\n

= Rs 192,000 +<\/span> Rs 100 +<\/span> Rs 10,000<\/span><\/p>\n

= Rs 202,100<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

(c) Advise whether the discount can be accepted?<\/span><\/b><\/p>\n

Total cost with discount policy is more than existing policy.<\/span><\/p>\n

Therefore, discount offer cannot be accepted. <\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

2068, Q: 5<\/span><\/b><\/p>\n

The standard consumption of raw materials in a biscuit factory is 2.50 kg of flour for the production of one packet of biscuit. The factory purchases flour on lot basis for which it incurs purchase expenses of Rs 1,250 on each purchase. The total storing cost is Re 0.50 per kg per year. The factory has recently finalized 50,000 packets of biscuit of production plan for the coming year. <\/span><\/p>\n

Required: EOQ of flour by using trial and error method \u00a0<\/span><\/p>\n

[Answer: EOQ = 25,000 kg]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Given and working note:\u00a0 <\/span><\/i><\/p>\n

Annual demand [A] = 2.5 kg \u00d7 50,000 packets = 125,000 kg<\/span><\/i><\/p>\n

Purchase expenses [O]\u00a0\u00a0\u00a0\u00a0 = Rs 1,250<\/span><\/i><\/p>\n

Storing cost [C] = Re 0.50 per unit\/year<\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

Economic order quantity in kg <\/span><\/b><\/p>\n

Here, SQRT is square root <\/span><\/i><\/p>\n

= SQRT 2AO \u00f7<\/span> C<\/span><\/p>\n

= SQRT 2\u00d7 125,000 \u00d7 Rs 1,250 \u00f7<\/span> Re 0.50<\/span><\/p>\n

= SQRT 62,50,00,000 <\/span><\/p>\n

= 25,000 kg <\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

EOQ by Trial and Error Method<\/span><\/b><\/p>\n\n\n\n\n\n\n\n\n\n\n
\n

No. of order<\/span><\/p>\n<\/td>\n

\n

a<\/span><\/p>\n<\/td>\n

\n

working note<\/span><\/p>\n<\/td>\n

\n

1<\/span><\/p>\n<\/td>\n

\n

2<\/span><\/p>\n<\/td>\n

\n

4<\/span><\/p>\n<\/td>\n

\n

5<\/span><\/p>\n<\/td>\n

\n

8<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Order size<\/span><\/p>\n<\/td>\n

\n

b<\/span><\/p>\n<\/td>\n

\n

A \u00f7 a<\/span><\/p>\n<\/td>\n

\n

125,000<\/span><\/p>\n<\/td>\n

\n

62,500<\/span><\/p>\n<\/td>\n

\n

31,250<\/span><\/p>\n<\/td>\n

\n

25,000<\/span><\/p>\n<\/td>\n

\n

15,625.00<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Average quantity<\/span><\/p>\n<\/td>\n

\n

c<\/span><\/p>\n<\/td>\n

\n

b \u00f7 2<\/span><\/p>\n<\/td>\n

\n

62,500<\/span><\/p>\n<\/td>\n

\n

31,250<\/span><\/p>\n<\/td>\n

\n

15,625<\/span><\/p>\n<\/td>\n

\n

12,500<\/span><\/p>\n<\/td>\n

\n

7,812.50<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Carrying cost<\/span><\/p>\n<\/td>\n

\n

d<\/span><\/p>\n<\/td>\n

\n

c \u00d7 Re 0.50<\/span><\/p>\n<\/td>\n

\n

31,250<\/span><\/p>\n<\/td>\n

\n

15,625<\/span><\/p>\n<\/td>\n

\n

7,812.50<\/span><\/p>\n<\/td>\n

\n

6,250<\/span><\/p>\n<\/td>\n

\n

3,906.25<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Ordering cost<\/span><\/p>\n<\/td>\n

\n

e<\/span><\/p>\n<\/td>\n

\n

a \u00d7 Rs 1,250<\/span><\/p>\n<\/td>\n

\n

1,250<\/span><\/p>\n<\/td>\n

\n

2,500<\/span><\/p>\n<\/td>\n

\n

5,000.00<\/span><\/p>\n<\/td>\n

\n

6,250<\/span><\/p>\n<\/td>\n

\n

10,000.00<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Total cost<\/span><\/p>\n<\/td>\n

\n

f<\/span><\/p>\n<\/td>\n

\n

d + e<\/span><\/p>\n<\/td>\n

\n

32,500<\/span><\/p>\n<\/td>\n

\n

18,125<\/span><\/p>\n<\/td>\n

\n

12,812.50<\/span><\/p>\n<\/td>\n

\n

12,500<\/span><\/p>\n<\/td>\n

\n

13,906.25<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Less: Discount<\/span><\/p>\n<\/td>\n

\n

g<\/span><\/p>\n<\/td>\n

\n

working note <\/span><\/p>\n<\/td>\n

\n

Nil <\/span><\/p>\n<\/td>\n

\n

Nil <\/span><\/p>\n<\/td>\n

\n

Nil <\/span><\/p>\n<\/td>\n

\n

Nil <\/span><\/p>\n<\/td>\n

\n

Nil <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Net cost<\/span><\/p>\n<\/td>\n

\n

h<\/span><\/p>\n<\/td>\n

\n

f \u2013\u00a0 g<\/span><\/p>\n<\/td>\n

\n

32,500<\/span><\/p>\n<\/td>\n

\n

18,125<\/span><\/p>\n<\/td>\n

\n

12,812.50<\/span><\/p>\n<\/td>\n

\n

12,500<\/span><\/p>\n<\/td>\n

\n

13,906.25<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Therefore, <\/span><\/p>\n

Minimum net cost is Rs 12,500 at 25,000 units in 5th<\/sup> order. <\/span><\/p>\n

Therefore, EOQ by trial and error method is 25,000 units.<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

2069, Q: 5<\/span><\/b><\/p>\n

Following extracted information are provided:<\/span><\/p>\n

Annual requirement of raw materials 50,000 units <\/span><\/p>\n

Ordering cost per order Rs 500<\/span><\/p>\n

Opportunity cost Re 1 per unit <\/span><\/p>\n

Cost of deterioration, insurance and tax Re 1 per unit <\/span><\/p>\n

Required: (a) Economic order quantity; (b) Cost of ordering 5 times if Rs 2,000 discount avails from supplier <\/span><\/p>\n

[Answer: (a) 5,000 units; (b) <\/span><\/i>(Rs 12,500 \u2013 Rs 2,000) = Rs 10,500]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Given and working note: <\/span><\/i><\/p>\n

A = 50,000 units <\/span><\/i><\/p>\n

O = Rs 500<\/span><\/i><\/p>\n

C = (1+1) = Rs 2<\/span><\/i><\/p>\n

\u00a0<\/span><\/b><\/p>\n

(a) Economic order quantity in unit <\/span><\/b><\/p>\n

Here, SQRT is square root <\/span><\/i><\/p>\n

= SQRT 2AO \u00f7<\/span> C<\/span><\/p>\n

= SQRT 2\u00d7 50,000 \u00d7 Rs 500 \u00f7<\/span> Rs 2<\/span><\/p>\n

= SQRT 25,000,000 <\/span><\/p>\n

= 5,000 units <\/span><\/p>\n

\u00a0<\/span><\/p>\n

(b) Total cost without materials; <\/i>ordering size 5 times if Rs 2,000 discount avails from supplier <\/span><\/b><\/i><\/b><\/p>\n

Order size (Q) = 50,000 \u00f7 5 times = 10,000 units<\/span><\/i><\/p>\n

\u00a0<\/span><\/b><\/p>\n

= (A\u00d7O \u00f7 Q) +<\/span> (Q\u00d7C \u00f7 2) <\/span><\/i><\/p>\n

= (50,000 \u00d7 Rs 500 \u00f7 10,000) +<\/span> (10,000 \u00d7 Rs 2 \u00f7 2) <\/span><\/i><\/p>\n

= Rs 2,500 +<\/span> Rs 10,000<\/span><\/i><\/p>\n

= Rs 12,500<\/span><\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

Again, <\/span><\/b><\/p>\n

Ordering 5 times if Rs 2,000 discount<\/span> = Rs 12,500 <\/span>\u2013 Rs 2,000<\/span>\u00a0\u00a0\u00a0\u00a0 <\/span>= Rs 10,500<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

2070, Q: 5 Or<\/span><\/b><\/p>\n

The annual consumption of raw materials of a factory is 50,000 kg. The cost price per kg is Rs 5. The estimated expense for each purchase is Rs 125. The overall storage cost estimated is 10% of unit inventory cost. <\/span><\/p>\n

The supplier of the raw materials has made a special offer of 0.2% <\/span>price off on 10,000 kg lot purchase. <\/span><\/p>\n

Required: Suggestion for the purchase of raw materials by showing comparative (a) total cost including cost of raw materials for optional purchase; (b) special offer<\/span><\/p>\n

[Answer: <\/span><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

Given and working note: <\/span><\/i><\/p>\n

A = 50,000 kg<\/span><\/i><\/p>\n

P = Rs 5<\/span><\/i><\/p>\n

O = Rs 125<\/span><\/i><\/p>\n

C = Rs 5@10% = Re 0.50<\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

(a) Total cost with materials for existing<\/span><\/b> purchasing policy<\/b><\/span><\/p>\n

Here, SQRT means square root<\/span><\/i><\/p>\n

= PA +<\/span> SQRT 2AOC<\/span><\/p>\n

= (50,000 \u00d7 Rs 5) +<\/span> SQRT 2 \u00d7 50,000 \u00d7 125 \u00d7 0.50<\/i><\/span><\/p>\n

= Rs 250,000 +<\/span> SQRT 6,250,000<\/span><\/p>\n

= Rs 250,000 +<\/span> Rs 2,500<\/span><\/p>\n

= Rs 252,500<\/span><\/p>\n

\u00a0<\/span><\/p>\n

(b) Total cost with materials for special offer<\/span><\/b><\/p>\n

Value of materials \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = 50,000 units \u00d7 Rs 5 = Rs 250,000 <\/span><\/i><\/p>\n

Discount = 250,000 @ 0.2% = Rs 500<\/span><\/i><\/p>\n

Order size (Q) = 10,000 units <\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

= (AP \u2013 Discount) +<\/span>\u00a0\u00a0 (A\u00d7O \u00f7 Q) +<\/span> (Q\u00d7C \u00f7 2) <\/span><\/p>\n

= (Rs 250,000 \u2013 500) +<\/span> (50,000 \u00d7 Rs 125 \u00f7 10,000) +<\/span> (10,000 \u00d7 Re 0.5 \u00f7 2) <\/span><\/p>\n

= Rs 249,500 +<\/span> Rs 625 +<\/span> Rs 2,500<\/span><\/p>\n

= Rs 252,625<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

(c) Advise whether the discount can be accepted?<\/span><\/b><\/p>\n

Total cost with discount policy is more than existing policy.<\/span><\/p>\n

Therefore, discount offer cannot be accepted. <\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

2072\/Old II, Q: 3 Or<\/span><\/b><\/p>\n

The following extracted information are provided to you:<\/span><\/p>\n

Per day consumption \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 20 units<\/span><\/p>\n

Ordering cost per order \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 2,000<\/span><\/p>\n

Carrying cost per unit \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 20% of inventory value<\/span><\/p>\n

Interest on loan \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 3.2 per unit <\/span><\/p>\n

Cost of materials \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 20 per unit <\/span><\/p>\n

Assume 360 days in a year <\/span><\/p>\n

Required: (a) EOQ; (b) Total cost if the supplier is providing a discount facility of 4%, if purchase in a lot of 3,600 units <\/span><\/p>\n

[Answer: (a) EOQ = 2,000 units; (b) Total cost = Rs 11,200]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

A = 360 days \u00d7 20 units = 7,200 units<\/span><\/i><\/p>\n

O = Rs 2,000<\/span><\/i><\/p>\n

P = Rs 20<\/span><\/i><\/p>\n

C = Rs 20@20% +<\/span> Rs 3.2 = 4+<\/span>3.2 = Rs 7.2<\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

(a) Economic order quantity in unit <\/span><\/b><\/p>\n

Here, SQRT is square root <\/span><\/i><\/p>\n

= SQRT 2AO \u00f7<\/span> C<\/span><\/p>\n

= SQRT 2\u00d7 7,200 \u00d7 Rs 2,000 \u00f7<\/span> Rs 7.2<\/span><\/p>\n

= SQRT 4,000,000 <\/span><\/p>\n

= 2,000 units <\/span><\/p>\n

\u00a0<\/span><\/p>\n

(b) Total cost excluding materials for special offer<\/span><\/b><\/p>\n

Value of materials \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (A\u00d7P) = 7,200 units \u00d7 Rs 20 = Rs 144,000 <\/span><\/i><\/p>\n

Discount = 144,000 @ 4% = Rs 5,760<\/span><\/span><\/i><\/p>\n

Order size (Q) = 3,600 units <\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

= (A\u00d7O \u00f7 Q) +<\/span> (Q\u00d7C \u00f7 2) \u2013<\/span> Discount<\/span><\/p>\n

= (7,200 \u00d7 Rs 2,000 \u00f7 3,600) + <\/span>(3,600 \u00d7 Rs 7.2 \u00f7 2) \u2013<\/span> Rs 5,760 <\/span><\/span><\/p>\n

= Rs 4,000 +<\/span> Rs 12,960 \u2013<\/span> Rs 5,760<\/span><\/span><\/p>\n

= Rs 11,200<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Alternatively,<\/span><\/b> <\/b><\/p>\n

Total cost excluding materials <\/span><\/b><\/p>\n

Here, SQRT is square root <\/span><\/i><\/p>\n

= SQRT 2AOC<\/span><\/p>\n

= SQRT 2\u00d7 7,200 \u00d7 Rs 2,000 \u00d7 Rs 7.2<\/span><\/p>\n

= SQRT 20,73,00,000<\/span><\/p>\n

= Rs 14,400<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Total cost excluding materials for special offer<\/span><\/b><\/p>\n

Value of materials \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (A\u00d7P) = 7,200 units \u00d7 Rs 20 = Rs 144,000 <\/span><\/i><\/p>\n

Discount = 144,000 @ 4% = Rs 5,760<\/span><\/span><\/i><\/p>\n

Order size (Q) = 3,600 units <\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

= (A\u00d7O \u00f7 Q) +<\/span> (Q\u00d7C \u00f7 2) \u2013<\/span> Discount<\/span><\/p>\n

= (7,200 \u00d7 Rs 2,000 \u00f7 3,600) + <\/span>(3,600 \u00d7 Rs 7.2 \u00f7 2) \u2013<\/span> Rs 5,760 <\/span><\/span><\/p>\n

= Rs 4,000 +<\/span> Rs 12,960 \u2013<\/span> Rs 5,760<\/span><\/span><\/p>\n

= Rs 11,200<\/span><\/p>\n

\u00a0<\/span><\/b><\/p>\n

Advise whether the discount can be accepted?<\/span><\/b><\/p>\n

Total cost with discount policy is less than existing policy.<\/span><\/p>\n

Therefore, discount offer can be accepted. \u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

2072\/Old I, Q: 3 Or<\/span><\/b><\/p>\n

A Manufacturing Company purchases 2,000 units of particulars item per year at Rs 20 per unit. The ordering cost per order is Rs 50 and the inventory carrying cost is 25% of inventory value.<\/span><\/p>\n

Find out optimal order quantity and total cost at that quantity. <\/span><\/p>\n

Should the company accept an offer of a 3% discount at the purchase of 1,000 items at a time?<\/span><\/p>\n

\u00a0[Answer: (a) EOQ = 200 units; (b) Total cost = Rs 1,000; <\/span><\/i><\/p>\n

(c) Total cost = Rs 1,400; (d) No; should not accept]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

A = 2,000 units<\/span><\/i><\/p>\n

P = Rs 20<\/span><\/i><\/p>\n

O = Rs 50<\/span><\/i><\/p>\n

C = Rs 20@25% = Rs 5<\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

(a) Optimal order quantity in unit (EOQ)<\/span><\/b><\/p>\n

Here, SQRT is square root <\/span><\/i><\/p>\n

= SQRT 2AO \u00f7<\/span> C<\/span><\/p>\n

= SQRT 2\u00d7 2,000 \u00d7 Rs 50 \u00f7<\/span> Rs 5<\/span><\/p>\n

= SQRT 40,000 <\/span><\/p>\n

= 200 units <\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

(b) Total cost excluding materials <\/span><\/b><\/p>\n

Here, SQRT is square root <\/span><\/i><\/p>\n

= SQRT 2AOC<\/span><\/p>\n

= SQRT 2\u00d7 2,000 \u00d7 Rs 50 \u00d7 Rs 5<\/span><\/p>\n

= SQRT 10,00,000<\/span><\/p>\n

= Rs 1,000<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

(c) Total cost excluding materials for special offer at 3% discount <\/span><\/b><\/p>\n

Value of materials \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (A\u00d7P) = 2,000 units \u00d7 Rs 20 = Rs 40,000 <\/span><\/i><\/p>\n

Discount = 40,000 @ 3% = Rs 1,200<\/span><\/span><\/i><\/p>\n

Order size (Q) = 1,000 units <\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

= (A\u00d7O \u00f7 Q) +<\/span> (Q\u00d7C \u00f7 2) \u2013<\/span> Discount<\/span><\/p>\n

= (2,000 \u00d7 Rs 50 \u00f7 1,000) + <\/span>(1,000 \u00d7 Rs 5 \u00f7 2) \u2013<\/span> Rs 1,200 <\/span><\/span><\/p>\n

= Rs 100 +<\/span> Rs 2,500 \u2013<\/span> Rs 1,200<\/span><\/span><\/p>\n

= Rs 1,400<\/span><\/p>\n

\u00a0<\/span><\/p>\n

(d) Advise whether the discount can be accepted?<\/span><\/b><\/p>\n

Total cost with discount policy is more than existing policy.<\/span><\/p>\n

Therefore, discount offer cannot be accepted. <\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

2073\/Old, Q: 5 Or<\/span><\/b><\/p>\n

The following extracted particulars of A Manufacturing Firm are provided to you:<\/span><\/p>\n

Annual requirement of inventory \u00a0\u00a0 40,000 units<\/span><\/p>\n

Purchase price of inventory \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 20 per unit<\/span><\/p>\n

Carrying cost \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10% of inventory value<\/span><\/p>\n

Ordering cost per order \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Rs 400<\/span><\/p>\n

Required: (a) Economic order quantity (EOQ); (b) Total cost at EOQ; <\/span><\/p>\n

(c) If the firm purchases its requirement of inventory at a time, the supplier will provide 2% quantity discount. Whether the offer can be accepted or not? <\/span><\/p>\n

[Answer: (a) EOQ = 4,000 units; (b) Total cost = Rs 8,000;<\/span><\/i><\/p>\n

(c) Total cost = Rs 24,400; (d) No]<\/span><\/i><\/p>\n

SOLUTION: <\/span><\/b><\/p>\n

A = 40,000 units<\/span><\/i><\/p>\n

P = Rs 20<\/span><\/i><\/p>\n

O = Rs 400<\/span><\/i><\/p>\n

C = Rs 20@10% = Rs 2<\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

(a) Optimal order quantity in unit (EOQ)<\/span><\/b><\/p>\n

Here, SQRT is square root <\/span><\/i><\/p>\n

= SQRT 2AO \u00f7<\/span> C<\/span><\/p>\n

= SQRT 2\u00d7 40,000 \u00d7 Rs 400 \u00f7<\/span> Rs 2<\/span><\/p>\n

= SQRT 16,000,000 <\/span><\/p>\n

= 4,000 units <\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

(b) Total cost excluding materials <\/span><\/b><\/p>\n

Here, SQRT is square root <\/span><\/i><\/p>\n

= SQRT 2AOC<\/span><\/p>\n

= SQRT 2\u00d7 40,000 \u00d7 Rs 400 \u00d7 Rs 2<\/span><\/p>\n

= SQRT 64,000,000<\/span><\/p>\n

= Rs 8,000<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

(c) Total cost excluding materials for special offer at 3% discount <\/span><\/b><\/p>\n

Value of materials \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (A\u00d7P) = 40,000 units \u00d7 Rs 20 = Rs 800,000 <\/span><\/i><\/p>\n

Discount = 800,000 @ 2% = Rs 16,000<\/span><\/span><\/i><\/p>\n

Order size (Q) = 40,000 units <\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

= (A\u00d7O \u00f7 Q) +<\/span> (Q\u00d7C \u00f7 2) \u2013<\/span> Discount<\/span><\/p>\n

= (40,000 \u00d7 Rs 400 \u00f7 40,000) + <\/span>(40,000 \u00d7 Rs 2 \u00f7 2) \u2013<\/span> Rs 16,000 <\/span><\/span><\/p>\n

= Rs 400 +<\/span> Rs 40,000 \u2013<\/span> Rs 16,000<\/span><\/span><\/p>\n

= Rs 24,400<\/span><\/p>\n

\u00a0<\/span><\/p>\n

(d) Advise whether the discount can be accepted?<\/span><\/b><\/p>\n

Total cost with discount policy is more than existing policy viz Rs 24,400 > Rs 8,000<\/span><\/p>\n

Therefore, discount offer cannot be accepted. <\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

EP <\/span>Online <\/span>Study <\/span><\/p>\n

Thank you for investing your time.<\/span><\/i><\/p>\n

Please comment on the article <\/span><\/i>and<\/span><\/i> share this post on your social media platform.<\/span><\/i><\/p>\n

\u00a0<\/span><\/p>\n

Jay G<\/span>o<\/span>o<\/span>g<\/span>l<\/span>e<\/span>, Jay YouTube<\/span>, Jay Social Media<\/span><\/span><\/p>\n

\u091c\u092f<\/span> \u0917\u0942<\/span>\u0917<\/span>\u0932<\/span>.<\/span> \u091c\u092f<\/span> \u092f\u0941\u091f\u094d\u092f\u0941\u092c<\/span>,<\/span> \u091c\u092f<\/span> \u0938\u094b\u0936\u0932<\/span> \u092e\u0940\u0921\u093f\u092f\u093e<\/span><\/p>\n

\u00a0<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

    Economic Order Quantity | EOQ EOQ is also known reorder quantity (ROQ). In EOQ, total cost of holding inventory is minimum and ordering cost is equal or minimum to storage cost of materials. While determining EOQ, ordering cost and carrying cost should be consider. \u00a0 Keep In Mind (KIM) If purchasing quantity increases, […]<\/p>\n","protected":false},"author":19997,"featured_media":6190,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3221,3236,11],"tags":[2112,2156,3234,3235,3232,3233,2142],"writers":[144],"yoast_head":"\nInventory Management | Economic Order Quantity | EOQ | TU Solution<\/title>\n<meta name=\"description\" content=\"Inventory Management | Economic Order Quantity | TU Solution | EOQ Units | EOQ Cost | EOQ Order | Ordering cost | Carrying cost\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/eponlinestudy.com\/inventory-management-economic-order-quantity-tu-solution-eoq-units-eoq-cost-eoq-order\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" 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