Business, 13.08.2020 02:01 djfluffyman999

Consider a university that purchases replacement chairs for its classrooms. The purchasing manager knows that the annual demand for replacement chairs is 500. The pricing schedule is as follows: Use the following Excel solution to this quantity discount problem with constant carrying cost. Carrying cost = $ 15 Ordering cost = $ 200 Annual Demand = 500 Quantity Price Q Discount Q Total Cost
100 $130 115.47 115.47 $ 66,732.05
200 $122 115.47 200.00 $ 63,000.00
500 $120 115.47 500.00 $ 63,950.00
What is the inventory ordering cost using the economic order quantity?
A. $1,000
B. $866
C. $500
D. $200

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Answer from: SchoolSucks234

The inventory ordering cost using the economic order quantity is: B. $866.

First step is to calculate the Economic order quantity

Economic order quantity =√(2×D×S)/H

Where:

D=Annual demand=$500

S=Ordering cost=$200

H=Holding cost =$15

Let plug in the formula

Economic order quantity =(2 x 500 x 200)/15

Economic order quantity =√200,000/15

Economic order quantity =√13333.3333

Economic order quantity =115.46

Economic order quantity = 115.5 (Approximately)

Second step is to calculate the inventory ordering cost using this formula

Inventory ordering cost= (Annual demand× Ordering cost )/Economic order quantity

Let plug in the formula

Inventory ordering cost= (200×500)/115.5

Inventory ordering cost=100,000/115.5

Inventory ordering cost=$865.8

Inventory ordering cost=$866 (Approximately)

Inconclusion the inventory ordering cost using the economic order quantity is: B. $866.

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Answer from: henriquetucker

b. $866

Explanation:

Annual demand from the question = D = $500

the ordering cost = S = $200

then the cost of carrying H = $15

we have to calculate the economic order quantity

= sqr(2*D*S)/H

= sqr(2 x 500 x 200)/25

= sqr(13333.3333)

this equals 115.469

which is approximately 115.5

next we have to calculate inventory ordering cost

= (D * S)/EOQ

= 200 *500/115.5

= 865.5

When approximated becomes $866

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