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The weekly requirement of a part is 580 units. The order cost is $95 per order.

ID: 444093 • Letter: T

Question

The weekly requirement of a part is 580 units. The order cost is $95 per order. The holding cost is $5 per unit per year, and the part cost is $950 per unit. The firm operates fifty-two weeks per year.

Calculate the following - Economic order quantity, annual holding cost, annual order cost and the annual inventory holding cost.

Suppose the firm is currently ordering once every four weeks (i.e., orders what is needed to meet the demand over next four weeks at a time). How much can the company save per year by using economic order quantity instead?

Explanation / Answer

EOQ= square root of 2AO/C

annual usage= 580*52= 30160 units

O is oredering cost= $95 and carrying cost $5 per unit

square root of 2*30160*95/5= square root of 1,146,080= 1070 units per order

annual order cost= 30160/1070= 28 orders

ordering cost= 28*95= $2680

inventory holding cost is 1070*5= $5350