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{"id":4585,"date":"2021-09-08T09:23:32","date_gmt":"2021-09-08T03:38:32","guid":{"rendered":"https:\/\/eponlinestudy.com\/?p=4585"},"modified":"2021-09-08T09:28:28","modified_gmt":"2021-09-08T03:43:28","slug":"economic-order-quantities-eoq-by-trial-and-error-method-eoq-inventory-management","status":"publish","type":"post","link":"https:\/\/eponlinestudy.com\/economic-order-quantities-eoq-by-trial-and-error-method-eoq-inventory-management\/","title":{"rendered":"Economic Order Quantities | EOQ by Trial and Error Method | EOQ"},"content":{"rendered":"

\"\"<\/p>\n

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

 <\/p>\n

Economic Order Quantities (EOQ) <\/span><\/b><\/b><\/h2>\n

EOQ is also known as re-order quantity (ROQ) or optional order quantity. <\/span><\/p>\n

It is the order size which minimizes the total inventory cost. <\/span><\/p>\n

In EOQ, total carrying cost and ordering cost are equal. <\/span><\/p>\n

The annual requirement can be procured (acquire or purchase) at once and stored in the warehouse (godown) and consumed for the year.\u00a0 <\/span><\/p>\n

Materials can be ordered frequently in a fewer lots. <\/span><\/p>\n

When a company orders requirements in one order, the ordering cost is less but the carrying cost is more. <\/span><\/p>\n

When a company orders requirements frequently, ordering cost is more but carrying cost is less. <\/span><\/p>\n

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

Therefore, EOQ is the order size which reduces the total inventory cost and equally total ordering cost. <\/span><\/p>\n

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

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

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

If purchasing quantity increases, carrying\/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

 <\/p>\n

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

(A) Annual Requirement <\/span><\/b><\/b><\/h3>\n

When manufacturing needs raw materials for production purpose, an annual requirement is needed. <\/span><\/p>\n

Raw materials are converted into work in progress and finished goods.\u00a0 <\/span><\/p>\n

The quantity of material is measured in annual requirements.\u00a0 <\/span><\/p>\n

Annual requirement may be in half-yearly, monthly or weekly.\u00a0 <\/span><\/p>\n

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

(B) Ordering Cost<\/span><\/b><\/b><\/h3>\n

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

The purchase of a large quantity of materials helps to reduce ordering costs; it includes:<\/span><\/p>\n

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

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

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

Cost of paperwork as tender, quotation, advertisement etc.<\/span><\/p>\n

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

(C) Carrying Cost<\/span><\/b><\/b><\/h3>\n

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

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

If a 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

Salary of storekeeper and related to holding of materials.<\/span><\/p>\n

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

Insurance cost of materials.<\/span><\/p>\n

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

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

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

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

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

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

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

= quantity or order size.<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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

The assumption to determine the economic order quantity <\/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

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

No stock outs occur<\/span> (viz no theft, no lost, no date expiry) etc<\/span>.<\/span><\/p>\n

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

EOQ can be determined in three ways:<\/span><\/p>\n

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

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

Graphic method<\/span><\/p>\n

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

 <\/p>\n

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

The value of carrying cost (C) is less than the value of ordering cost (O).<\/b><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Annual demand may be weekly, monthly and yearly.<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Value of O and C also should be weekly, monthly and yearly.<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

If order size (Q) is not given, EOQ units are taken for EOQ cost.<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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

Here, Amount = Rs = $ = \u00a3 = \u20ac = <\/span>\u20b9<\/span> = Af = <\/span>\u09f3 <\/span>= Nu = Rf = <\/span>\u0dbb\u0dd4<\/span> = Br = P = Birr = Currency of your country<\/span>\u00a0 <\/span><\/p>\n

PROBLEM: 2A<\/span><\/b><\/p>\n

ABC<\/span> Trading Concern has following information:<\/span><\/p>\n\n\n\n\n\n\n
\n

Annual require<\/span><\/p>\n<\/td>\n

\n

6,000 units <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Materials cost per unit<\/span><\/p>\n<\/td>\n

\n

Rs 60<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

Rs 500<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Carrying cost per unit per year<\/span><\/p>\n<\/td>\n

\n

Rs 15<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Required: \u00a0 (a) Economic order quantity; (b) No. of order; (c) Total cost without materials <\/span><\/p>\n

[Answer: (a) 632 units; (b) 9 times; (c) Rs 9,487]<\/span><\/i><\/p>\n

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

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

= SQRT (2AO \u00f7 C)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0[\u2235 SQRT = square root]<\/span><\/p>\n

= SQRT (2 x 6,000 x 500 \u00f7 15)<\/span><\/p>\n

= SQRT (400,000)<\/span><\/p>\n

= 632 units <\/span><\/p>\n

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

Explain:<\/span><\/i><\/b> EOQ in units is the order of the units where an organization does not suffer about minimum stock or maximum stock level. <\/span><\/i><\/p>\n

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

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

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

= 6,000 <\/span>\u00f7<\/span> 632 <\/span><\/p>\n

= 9.49 or 9 times <\/span><\/p>\n

Explain:<\/span><\/i><\/b> EOQ in order is the order time during the period. It shows the number order for annual consumption.<\/span><\/i><\/p>\n

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

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

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

= SQRT (2AOC)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [\u2235 SQRT = square root]<\/span><\/p>\n

= SQRT (2 x 6,000 x 500 x 15)<\/span><\/p>\n

= SQRT (9,00,00,000)<\/span><\/p>\n

= Rs 9,487<\/span><\/p>\n

Explain:<\/span><\/i><\/b> EOQ in total cost is the sum of ordering and holding cost of materials without unit cost. It does not contain the value of materials.<\/span><\/i><\/p>\n

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

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

Here, Amount = Rs = $ = \u00a3 = \u20ac = <\/span>\u20b9<\/span> = Af = <\/span>\u09f3 <\/span>= Nu = Rf = <\/span>\u0dbb\u0dd4<\/span> = Br = P = Birr = Currency of your country<\/span>\u00a0 <\/span><\/p>\n

PROBLEM: 2B<\/span><\/b><\/p>\n

ABC<\/span> Group of Company has following information:<\/span><\/p>\n\n\n\n\n\n\n\n
\n

Annual require<\/span><\/p>\n<\/td>\n

\n

8,000 units <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Materials cost per unit<\/span><\/p>\n<\/td>\n

\n

Rs 96<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

Rs 40<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Holding cost per unit per year<\/span><\/p>\n<\/td>\n

\n

4% per annum per unit <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Interest on capital on materials purchase<\/span><\/p>\n<\/td>\n

\n

10% per annum per unit <\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Required: (a) Economic order quantity; (b) No. of order; <\/span><\/p>\n

(c) Total cost with materials if the order size is 4,000 units;<\/span><\/p>\n

(d) Total cost with materials if suppliers allowed 2% discount at 8,000 units in one order;<\/span><\/p>\n

(e) Should the company accept the option?<\/span><\/p>\n

[Answer: (a) 218 units; (b) 37 times; (c) Rs 794,960; (d) Rs 806,440; (e) No]<\/span><\/i><\/p>\n

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

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

A = 8,000<\/span><\/i><\/p>\n<\/td>\n

\n

C \u00a0 = (4% +10%) of P<\/span><\/i><\/p>\n<\/td>\n<\/tr>\n

\n

O = 40<\/span><\/i><\/p>\n<\/td>\n

\n

\u00a0\u00a0\u00a0\u00a0 = 96@14% <\/span><\/i><\/p>\n<\/td>\n<\/tr>\n

\n

P = 96<\/span><\/i><\/p>\n<\/td>\n

\n

\u00a0\u00a0\u00a0\u00a0 = Rs 13.44<\/span><\/i><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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

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

= SQRT (2AO \u00f7 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 \u00a0 \u00a0 \u00a0 [\u2235 SQRT = square root]<\/span><\/span><\/p>\n

= SQRT (2 x 8,000 x 40 \u00f7 13.44\u00a0 <\/span>\u00a0 <\/span><\/p>\n

= SQRT (47,619)<\/span><\/p>\n

= 218 units <\/span><\/p>\n

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

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

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

= 8,000 <\/span>\u00f7<\/span> 218 <\/span><\/p>\n

= 36.69 or 37 times <\/span><\/p>\n

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

Total cost with materials cost if order size is 4,000 units<\/span><\/b><\/p>\n

Value of materials = 8,000 units x Rs 96 = Rs 768,000<\/span><\/i><\/p>\n

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

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

= (8,000 x Rs 96) +<\/span><\/b> (8,000 x 40 <\/span>\u00f7<\/span> 4,000) +<\/span><\/b> (4,000 x Rs 13.44 <\/span>\u00f7<\/span> 2) <\/span><\/p>\n

= 768,000 +<\/span><\/b> 80 +<\/span><\/b> 26,880<\/span><\/p>\n

= Rs 794,960<\/i><\/span><\/p>\n

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

Total cost with materials if suppliers allowed 2% discount at 8,000 units in one order<\/span><\/b><\/p>\n

Value of materials = 8,000 units x Rs 96 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = Rs 768,000<\/span><\/i><\/p>\n

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

Discount = 768,000 @ 2% \u00a0\u00a0 = Rs 15,360 <\/span><\/i><\/p>\n

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

Including cost of materials<\/span><\/b><\/p>\n

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

= (8,000 x Rs 96 \u2013 15,360 ) +<\/span><\/b> (8,000 x 40 <\/span>\u00f7<\/span> 8,000) +<\/span><\/b> (8,000 x Rs 13.44 <\/span>\u00f7<\/span> Rs 2) <\/span><\/p>\n

= 752,640 +<\/span><\/b> 40 +<\/span><\/b> 53,760<\/span><\/p>\n

= Rs 806,440<\/span><\/p>\n

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

Decision:<\/span><\/i><\/b> the company should not accept the option offered by suppliers; because, it has a higher value.<\/span><\/i><\/p>\n

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

Here, Amount = Rs = $ = \u00a3 = \u20ac = <\/span>\u20b9<\/span> = Af = <\/span>\u09f3 <\/span>= Nu = Rf = <\/span>\u0dbb\u0dd4<\/span> = Br = P = Birr = Currency of your country<\/span>\u00a0 <\/span><\/p>\n

PROBLEM: 2C<\/span><\/b><\/p>\n

The extracted data are taken from Anuj Metal Industries:<\/span><\/p>\n\n\n\n\n\n\n
\n

Monthly materials required<\/span><\/p>\n<\/td>\n

\n

6,000 kg<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Materials cost per kg<\/span><\/p>\n<\/td>\n

\n

Rs 60<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

Rs 160<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

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

Required: \u00a0 (1) Holding cost per month; (2) Total cost with materials if order size is 2,000 units<\/span><\/p>\n

\u00a0[Answer: (1) Rs 3; (2) = Rs 363,480<\/span><\/i><\/p>\n

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

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

Monthly require (A)<\/span><\/i><\/p>\n<\/td>\n

\n

= 6,000 kg<\/span><\/i><\/p>\n<\/td>\n

\n

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

\n

Materials cost per kg (P)<\/span><\/i><\/p>\n<\/td>\n

\n

= Rs 60<\/span><\/i><\/p>\n<\/td>\n

\n

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

\n

Ordering cost per order (O)<\/span><\/i><\/p>\n<\/td>\n

\n

= Rs 160<\/span><\/i><\/p>\n<\/td>\n

\n

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

\n

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

\n

= 800 units <\/span><\/i><\/p>\n<\/td>\n

\n

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

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

\"\"<\/p>\n

 <\/p>\n

Total cost with materials if order size is 2,000 units <\/span><\/b><\/p>\n

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

= (6,000 x Rs 60) +<\/span><\/b> (6,000 x 160 <\/span>\u00f7<\/span> 2,000) +<\/span><\/b> (2,000 x Rs 3 <\/span>\u00f7<\/span> Rs 2) <\/span><\/p>\n

= 360,000 +<\/span><\/b> 480 +<\/span><\/b> 3,000<\/span><\/p>\n

= Rs 363,480<\/span><\/p>\n

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

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

Click on link for YouTube<\/span> videos<\/span><\/span><\/strong><\/p>\n<\/td>\n<\/tr>\n

\n

Accounting for Share<\/span><\/p>\n<\/td>\n

\n

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

\n

Share in Nepali<\/span><\/p>\n<\/td>\n

\n

http:\/\/tiny.cc\/k99jkz<\/span><\/strong><\/a><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

http:\/\/tiny.cc\/yeakkz<\/span><\/strong><\/a><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Final Accounts: Class 12<\/span><\/p>\n<\/td>\n

\n

http:\/\/tiny.cc\/e89jkz<\/span><\/strong><\/a><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Final Accounts in Nepali<\/span><\/p>\n<\/td>\n

\n

http:\/\/tiny.cc\/w89jkz<\/span><\/strong><\/a><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Work Sheet<\/span><\/p>\n<\/td>\n

\n

http:\/\/tiny.cc\/579jkz<\/span><\/strong><\/a><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Ratio Analysis (Accounting Ratio)<\/span><\/p>\n<\/td>\n

\n

http:\/\/tiny.cc\/4fakkz<\/span><\/strong><\/a><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Fund Flow Statement<\/span><\/p>\n<\/td>\n

\n

http:\/\/tiny.cc\/wiakkz<\/span><\/strong><\/a><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Cash Flow Statement<\/span><\/p>\n<\/td>\n

\n

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

\n

Theory Accounting Xii<\/span><\/p>\n<\/td>\n

\n

http:\/\/tiny.cc\/nfakkz<\/span><\/strong><\/a><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Theory: Cost Accounting<\/span><\/p>\n<\/td>\n

\n

http:\/\/tiny.cc\/tfakkz<\/span><\/strong><\/a><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

http:\/\/tiny.cc\/p29jkz<\/span><\/strong><\/a><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

LIFO\u2212FIFO<\/span><\/p>\n<\/td>\n

\n

http:\/\/tiny.cc\/dgakkz<\/span><\/strong><\/span><\/a><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Cost Sheet, Unit Costing<\/span><\/p>\n<\/td>\n

\n

http:\/\/tiny.cc\/w49jkz<\/span><\/strong><\/a><\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Cost Reconciliation Statement<\/span><\/p>\n<\/td>\n

\n

http:\/\/tiny.cc\/829jkz<\/span><\/strong><\/a><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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

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

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

This method is also known tabular method and analytical method. <\/span><\/p>\n

Under this method, first of all, order size is fixed. <\/span><\/p>\n

Then an average order size is found out. <\/span><\/p>\n

Then carrying cost and ordering cost is calculated. <\/span><\/p>\n

The lowest cost (net cost) is EOQ by trial and error method.<\/span><\/p>\n

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

Step 1,<\/span><\/i><\/p>\n<\/td>\n

\n

Estimate number of orders<\/span><\/i><\/p>\n<\/td>\n

\n

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

\n

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

\n

Step 2,<\/span><\/i><\/p>\n<\/td>\n

\n

to find out the number of sizes,<\/span><\/i><\/p>\n<\/td>\n

\n

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

\n

= Annual requirement <\/span><\/i>\u00f7<\/span><\/i> No. of order\u00a0 <\/span><\/i><\/p>\n<\/td>\n<\/tr>\n

\n

Step 3,<\/span><\/i><\/p>\n<\/td>\n

\n

to find out the average quantity,<\/span><\/i><\/p>\n<\/td>\n

\n

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

\n

= Order size <\/span><\/i>\u00f7<\/span><\/i> 2 <\/span><\/i><\/p>\n<\/td>\n<\/tr>\n

\n

Step 4,<\/span><\/i><\/p>\n<\/td>\n

\n

to find out carrying cost,<\/span><\/i><\/p>\n<\/td>\n

\n

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

\n

= Average quantity x Carrying cost per unit<\/span><\/i><\/p>\n<\/td>\n<\/tr>\n

\n

Step 5,<\/span><\/i><\/p>\n<\/td>\n

\n

to find out ordering cost,<\/span><\/i><\/p>\n<\/td>\n

\n

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

\n

= No. of order x Ordering cost per order<\/span><\/i><\/p>\n<\/td>\n<\/tr>\n

\n

Step 6,<\/span><\/i><\/p>\n<\/td>\n

\n

to find out the total cost,<\/span><\/i><\/p>\n<\/td>\n

\n

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

\n

= Carrying cost\u00a0\u00a0 + Ordering cost<\/span><\/i><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\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>g<\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

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

\n

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

\n

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

\n

5<\/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

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

\n

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

\n

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

\n

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

\n

\u00a0<\/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

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

\u00a0<\/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

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

\n

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

\n

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

\n

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

\n

\u00a0<\/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

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

\n

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

\n

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

\n

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

\n

\u00a0<\/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

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

\n

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

\n

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

\n

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

\n

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

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

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

Here, Amount = Rs = $ = \u00a3 = \u20ac = <\/span>\u20b9<\/span> = Af = <\/span>\u09f3 <\/span>= Nu = Rf = <\/span>\u0dbb\u0dd4<\/span> = Br = P = Birr = Currency of your country<\/span>\u00a0 <\/span><\/p>\n

PROBLEM: 2D<\/span><\/b><\/p>\n

The following extracted information is given to you ABC Company: <\/span><\/p>\n\n\n\n\n\n
\n

Annual require<\/span><\/p>\n<\/td>\n

\n

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

\n

Set up cost (O)<\/span><\/p>\n<\/td>\n

\n

Rs 1,500<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

Rs 2.40<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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

[Answer: EOQ = 2,500 units, EOQ by T&E = 2 order; 2,500 units]<\/span><\/i><\/p>\n

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

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

= SQRT (2AO \u00f7 C)<\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [\u2235 SQRT = square root]<\/span> \u00a0\u00a0<\/span><\/p>\n

= SQRT (2 x 5,000 x 1,500 \u00f7 2.40) <\/span>\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/p>\n

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

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

\n

Hints\u00a0 <\/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

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

\n

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

\n

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

\n

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

\n

625.0<\/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

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

c x Rs 2.40<\/span><\/p>\n<\/td>\n

\n

6,000<\/span><\/p>\n<\/td>\n

\n

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

\n

1,500<\/span><\/p>\n<\/td>\n

\n

1,200<\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

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

\n

a x Rs 1,500<\/span><\/p>\n<\/td>\n

\n

1,500<\/span><\/p>\n<\/td>\n

\n

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

\n

6,000<\/span><\/p>\n<\/td>\n

\n

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

\n

12,000.0<\/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

7,500<\/span><\/p>\n<\/td>\n

\n

6,000<\/span><\/p>\n<\/td>\n

\n

7,500<\/span><\/p>\n<\/td>\n

\n

8,700<\/span><\/p>\n<\/td>\n

\n

12,750.0<\/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

7,500<\/span><\/p>\n<\/td>\n

\n

6,000<\/span><\/b><\/p>\n<\/td>\n

\n

7,500<\/span><\/p>\n<\/td>\n

\n

8,700<\/span><\/p>\n<\/td>\n

\n

12,750.0<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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

The minimum cost of Rs 6,000 is in the 2nd<\/sup> number of orders. <\/span><\/p>\n

Therefore, EOQ is 2,500 units. <\/span><\/p>\n

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

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

Generally, EOQ by trial and error method is equal where carrying cost and ordering costs are equal <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

But it not always correct. We should take always the lowest net cost as EOQ.<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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

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

Here, Amount = Rs = $ = \u00a3 = \u20ac = <\/span>\u20b9<\/span> = Af = <\/span>\u09f3 <\/span>= Nu = Rf = <\/span>\u0dbb\u0dd4<\/span> = Br = P = Birr = Currency of your country<\/span>\u00a0 <\/span><\/p>\n

PROBLEM: 2E<\/span><\/b><\/p>\n

ABC<\/span> Company needs a monthly requirement of an inventory is 1,200 units. The ordering cost per order is Rs 30 and the carrying cost is Re 0.80 per unit. The company\u2019s supplier agrees to offer quantity discount as under:<\/span><\/p>\n\n\n\n\n\n\n\n
\n

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

\n

Discount rate<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

1 to 399<\/span><\/p>\n<\/td>\n

\n

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

\n

400 to 599<\/span><\/p>\n<\/td>\n

\n

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

\n

600 to 799<\/span><\/p>\n<\/td>\n

\n

3%<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Above 800<\/span><\/p>\n<\/td>\n

\n

5 %<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Required: \u00a0 (a) Economic order quantity without considering the offer of discount.<\/span><\/p>\n

(b) Economic order quantity by considering the discount rate.<\/span><\/p>\n

[Answer:\u00a0 (a) 300 units; (b) 400 units at 3 times]<\/span><\/i><\/p>\n

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

Annual required (A) \u00a0\u00a0\u00a0 = 1,200 units <\/span><\/i><\/p>\n

Ordering cost (O) = Rs 30<\/span><\/i><\/p>\n

Carrying cost (C) = Re 0.80<\/span><\/i><\/p>\n

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

EOQ (in units)\u00a0\u00a0\u00a0\u00a0 <\/span><\/p>\n

= <\/span>\u00a0 SQRT (2AO \u00f7 C)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [\u2235 SQRT = square root]<\/span><\/span><\/p>\n

= <\/span>\u00a0SQRT (2 x 1,200 x 30 \u00f7 0.80\u00a0<\/span><\/p>\n

= <\/span>\u00a0 SQRT (90,000)<\/span><\/p>\n

= 300 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

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

\n

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

\n

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

\n

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

\n

4<\/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

1,200<\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

300<\/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

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

c x Re 0.80<\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

a x Rs 30<\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

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

\n

120<\/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

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

\n

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

\n

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

\n

240<\/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

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

\n

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

\n

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

\n

\u2013<\/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

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

\n

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

\n

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

\n

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

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

The minimum net cash is Rs 226 at 400 units. <\/span><\/p>\n

Therefore, the discount offer can be accepted.<\/span><\/p>\n

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

Working note for discount: There does not cost per unit. So we can calculate without a price per unit<\/span><\/i><\/p>\n\n\n\n\n\n\n
\n

Discount<\/span><\/i><\/p>\n<\/td>\n

\n

= 1,200 units xgiven%<\/span><\/i><\/p>\n<\/td>\n

\n

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

\n

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

\n

For order No. 1<\/span><\/i><\/p>\n<\/td>\n

\n

= 1,200 units x 5%<\/span><\/i><\/p>\n<\/td>\n

\n

= Rs 60<\/span><\/i><\/p>\n<\/td>\n

\n

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

\n

For order No. 2<\/span><\/i><\/p>\n<\/td>\n

\n

= 1,200 units x 3%<\/span><\/i><\/p>\n<\/td>\n

\n

= Rs 36<\/span><\/i><\/p>\n<\/td>\n

\n

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

\n

For order No. 3<\/span><\/i><\/p>\n<\/td>\n

\n

= 1,200 units x 2%<\/span><\/i><\/p>\n<\/td>\n

\n

= Rs 24<\/span><\/i><\/p>\n<\/td>\n

\n

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

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

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

Here, Amount = Rs = $ = \u00a3 = \u20ac = <\/span>\u20b9<\/span> = Af = <\/span>\u09f3 <\/span>= Nu = Rf = <\/span>\u0dbb\u0dd4<\/span> = Br = P = Birr = Currency of your country<\/span>\u00a0 <\/span><\/p>\n

PROBLEM: 2F<\/span><\/b><\/p>\n

The following extracted information is given by BK Company:<\/span><\/p>\n

Annual requirement 26,000 units<\/span><\/p>\n

Cost per order Rs 30<\/span><\/p>\n

Carrying cost 20%<\/span><\/p>\n

Price per unit Rs 7.80<\/span><\/p>\n

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

Complete the table below and determine the economic order quantity:<\/span><\/b><\/p>\n\n\n\n\n\n\n\n\n
\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

13,000<\/span><\/p>\n<\/td>\n

\n

26,000<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

[Answer: EOQ is 1,000]<\/span><\/i><\/p>\n

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

Carrying cost = Rs 7.80@ 20% = Rs 1.44<\/span><\/p>\n

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

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

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

A \u00f7 Order size<\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

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

\n

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

\n

13,000<\/span><\/p>\n<\/td>\n

\n

26,000<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

Order size \u00f7 2<\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

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

\n

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

\n

6,500<\/span><\/p>\n<\/td>\n

\n

13,000<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

Average Qty x Rs 1.44 <\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

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

\n

1,560<\/span><\/p>\n<\/td>\n

\n

10,140<\/span><\/p>\n<\/td>\n

\n

20,280<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

No. of order x Rs 30<\/span><\/p>\n<\/td>\n

\n

3,120<\/span><\/p>\n<\/td>\n

\n

1,560<\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

3,315<\/span><\/p>\n<\/td>\n

\n

1,950<\/span><\/p>\n<\/td>\n

\n

1,560<\/span><\/p>\n<\/td>\n

\n

1,950<\/span><\/p>\n<\/td>\n

\n

10,200<\/span><\/p>\n<\/td>\n

\n

20,310<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

The minimum cost is Rs 1,560 at the order size of 1000 units. <\/span><\/p>\n

Therefore, EOQ is 1,000 units<\/span><\/p>\n

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

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

EOQ by Graphic Method<\/span><\/b><\/b><\/p>\n

In this method, total ordering cost, total carrying cost and total cost are presented in a graph. <\/span><\/p>\n

When numbers of orders are increased, it will increase ordering cost and similarly when quantities of orders are increased it will increase carrying cost and vice versa. <\/span><\/p>\n

Where ordering cost and carrying cost intercept each other, it will be economic order quantity. <\/span><\/p>\n

Because this point represents to the minimum total cost. <\/span><\/p>\n

The economic order quantity can be shown in a diagram as follows: <\/span><\/p>\n

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

\"\"<\/p>\n

 <\/p>\n

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

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

PROBLEMS \u00a0AND \u00a0ANSWERS\u00a0 OF \u00a0EOQ<\/span><\/b><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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

Here, Amount = Rs = $ = \u00a3 = \u20ac = <\/span>\u20b9<\/span> = Af = <\/span>\u09f3 <\/span>= Nu = Rf = <\/span>\u0dbb\u0dd4<\/span> = Br = P = Birr = Currency of your country<\/span>\u00a0 <\/span><\/p>\n

PROBLEM: 2A\u00a0<\/span><\/b><\/p>\n

Form the following information, calculate economic order quantity:<\/span><\/p>\n

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

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

\n

12,000 units<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Cost of material per unit<\/span><\/p>\n<\/td>\n

\n

Rs 50<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Cost of placing and receiving per order<\/span><\/p>\n<\/td>\n

\n

Rs 300<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Annual inventory carrying cost per unit<\/span><\/p>\n<\/td>\n

\n

20% of inventory value<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Required: \u00a0 (a) Economic order quantity in units; (b) Economic order quantity in order<\/span><\/p>\n

(c) Economic order quantity in cost<\/span><\/p>\n

\u00a0[Answer:\u00a0 (a) 849 units; (b) 14 times; (c) Rs 8,485;<\/span><\/i><\/p>\n

Hint: answers are approximately]<\/span><\/i><\/p>\n

Here, Amount = Rs = $ = \u00a3 = \u20ac = <\/span>\u20b9<\/span> = Af = <\/span>\u09f3 <\/span>= Nu = Rf = <\/span>\u0dbb\u0dd4<\/span> = Br = P = Birr = Currency of your country<\/span>\u00a0 <\/span><\/p>\n

PROBLEM: 2B\u00a0<\/span><\/b><\/p>\n

The following extracted information is given to you XY Company:<\/span><\/p>\n\n\n\n\n\n\n
\n

Consumption during the year<\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

200 Kg<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

5 % of inventory value<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

Rs 20<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Required: \u00a0 (1) Ordering cost per order; (2) Total cost of materials if order size 500 units <\/span><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 [Answer:\u00a0 (1) Rs 10; (2) Rs 40,290]<\/span><\/i><\/p>\n

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

Here, Amount = Rs = $ = \u00a3 = \u20ac = <\/span>\u20b9<\/span> = Af = <\/span>\u09f3 <\/span>= Nu = Rf = <\/span>\u0dbb\u0dd4<\/span> = Br = P = Birr = Currency of your country<\/span>\u00a0 <\/span><\/p>\n

PROBLEM: 2C\u00a0\u00a0<\/span><\/b><\/p>\n

Durga Metal Industries has following data:<\/span><\/p>\n\n\n\n\n\n\n
\n

Annual require of raw materials<\/span><\/p>\n<\/td>\n

\n

5000 kg<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Materials cost per kg<\/span><\/p>\n<\/td>\n

\n

Rs 70<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Transport cost for materials receive<\/span><\/p>\n<\/td>\n

\n

Rs 700 per order <\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Annual holding cost of materials<\/span><\/p>\n<\/td>\n

\n

10% of value<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Required: EOQ by trial and error method upto 5 order<\/span><\/p>\n

[Answer: 1,000 units; Rs. 7,000]<\/span><\/i><\/p>\n

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

You can help us by sharing 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\u00a0<\/span><\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

\u00a0   Economic Order Quantities (EOQ) EOQ is also known as re-order quantity (ROQ) or optional order quantity. It is the order size which minimizes the total inventory cost. In EOQ, total carrying cost and ordering cost are equal. The annual requirement can be procured (acquire or purchase) at once and stored in the warehouse […]<\/p>\n","protected":false},"author":19997,"featured_media":4589,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2306,2725,11,117,2135],"tags":[2153,2155,2150,2151,2152,2154],"writers":[144],"yoast_head":"\nEconomic Order Quantities | EOQ by Trial and Error Method | EOQ<\/title>\n<meta name=\"description\" content=\"EOQ is the order size which minimizes the total inventory cost. 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