The maintenance department of a large hospital uses 712 cases of liquid cleanser annually. Ordering cost are $12, carrying cost are $3 per case per year, and the new price schedule indicates that orders of less than 50 cases will cost $17 per case, 50 to 79 cases will cost $15 per case, 80 to 99 cases will cost $15 per case and the larger orders will cost $12 per case. Determine the optimal order quantity and the total cost.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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6. The maintenance department of a large hospital uses 712 cases of liquid cleanser annually.
Ordering cost are $12, carrying cost are $3 per case per year, and the new price schedule
indicates that orders of less than 50 cases will cost $17 per case, 50 to 79 cases will cost $15 per
case, 80 to 99 cases will cost $15 per case and the larger orders will cost $12 per case.
Determine the optimal order quantity and the total cost.
Transcribed Image Text:6. The maintenance department of a large hospital uses 712 cases of liquid cleanser annually. Ordering cost are $12, carrying cost are $3 per case per year, and the new price schedule indicates that orders of less than 50 cases will cost $17 per case, 50 to 79 cases will cost $15 per case, 80 to 99 cases will cost $15 per case and the larger orders will cost $12 per case. Determine the optimal order quantity and the total cost.
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