If the production rate of processing the product is 30000 per year and the set up cost per set up is $300 and the product is allowed to sell during production. The maintenance department of a large hospital uses about 11000 cases of liquid cleanser annually. Ordering cost is $35, carrying cost per unit is 20 percent of the prices of a case, and the new price schedule indicates that orders of less than 200 cases will cost $80 per case, 200 to 299 cases will cost $78 per case, 300 to 399 cases will cost $76 per case, and orders larger than 399 will cost $75 per case. i. Determine the optimal order quantity for each of the ranges ii. Determine the optimal total cost per year for each of the ranges. iii. Determine the minimal total cost solution to the problem

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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a) c) If the production rate of processing the product is 30000 per year and the set up cost per set up is $300 and the product is allowed to sell during production. The maintenance department of a large hospital uses about 11000 cases of liquid cleanser annually. Ordering cost is $35, carrying cost per unit is 20 percent of the prices of a case, and the new price schedule indicates that orders of less than 200 cases will cost $80 per case, 200 to 299 cases will cost $78 per case, 300 to 399 cases will cost $76 per case, and orders larger than 399 will cost $75 per case.
i. Determine the optimal order quantity for each of the ranges
ii. Determine the optimal total cost per year for each of the ranges.
iii. Determine the minimal total cost solution to the problem.

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