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William​ Beville's computer training​ school, in​ Richmond, stocks workbooks with the following​ characteristics: Demand D = 19,100 ​units/year

Ordering cost S = ​$26​/order
Holding cost H ​= $3​/unit/year
A) Calculate the EOQ for the workbooks.
B) What are the annual holding costs for the workbooks?
C) What are the annual ordering costs?

asked
User Chiwda
by
7.8k points

1 Answer

6 votes

Answer: EOQ = 575.38 units ≈ 575 units

Annual holding cost =$862.5 ≈ $863

annual ordering cost=$863.65 ≈ $864

Step-by-step explanation:

a)the EOQ for the workbooks=
√( 2 X Demand x ordering cost / holding cost)

=
√(2 x 19,100 x 26 / 3) =
√(331,066.667)

= 575.38 units ≈ 575 units

b)the annual holding costs for the workbooks

Annual holding cost = Economic order quantity x Holding cost /2

= (575 x 3)/2=$862.5 ≈ $863

c) the annual ordering costs = Demand X Ordering cost/ EOQ

= 19,100 x 26/575

=$863.65 ≈ $864

answered
User Duncan Smart
by
8.8k points
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