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Company A is selling packing material to the consumer products company B. Compan

ID: 338577 • Letter: C

Question

Company A is selling packing material to the consumer products company B. Company B needs 1.021 km of a certain carton per year. The costs structure is as follows.

q

unit

Price (?) per km

10

km

310.00

50

km

243.00

100

km

230.00

150

km

227.00

200

km

223.00

300

km

222.40

Orders below 10,000 m are not allowed.

The company uses a holding cost rate of 30% per year. An economist has determined the fixed ordering costs at company B and he has arrived at a value of 8 euro per order. Assuming the lowest price (222,4 euro / 1000 m), calculate the optimal order quantity using the EOQ model. Is the assumed price valid under this quantity? Next, determine the optimal order quantity while taking the discount price structure into account.

q

unit

Price (?) per km

10

km

310.00

50

km

243.00

100

km

230.00

150

km

227.00

200

km

223.00

300

km

222.40

Explanation / Answer

Company A is selling packing material to the consumer products company B. Company B needs 1.021 km of a certain carton per year. The costs structure is as follows.

q

unit

Price (?) per km

10

km

310.00

50

km

243.00

100

km

230.00

150

km

227.00

200

km

223.00

300

km

222.40

Orders below 10,000 m are not allowed.

The company uses a holding cost rate of 30% per year. An economist has determined the fixed ordering costs at company B and he has arrived at a value of 8 euro per order. Assuming the lowest price (222,4 euro / 1000 m), calculate the optimal order quantity using the EOQ model. Is the assumed price valid under this quantity? Next, determine the optimal order quantity while taking the discount price structure into account.

q

unit

Price (?) per km

10

km

310.00

50

km

243.00

100

km

230.00

150

km

227.00

200

km

223.00

300

km

222.40

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