A hospital orders its thermometers from a hospitalsupply firm. The cost per thermometer depends on the ordersize q, as shown in Table 6. The annual holding cost is 25%of the purchasing cost. Let EOQ80 be the EOQ if the costper thermometer is 80¢, and let EOQ79 be the EOQ if thecost per thermometer is 79¢.a Explain why EOQ79 will be larger than EOQ80. b Explain why the optimal order quantity must be ei-ther EOQ79, EOQ80, or 100. c If EOQ80 100, show that the optimal order quan-tity must be EOQ79. d If EOQ80 100 and EOQ79 100, show that theoptimal order quantity must be either EOQ80 or 100.e If EOQ80 100 and EOQ79 100, show that the optimal order quantity must be EOQ79.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section10.4: Simulation With Built-in Excel Tools
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A hospital orders its thermometers from a hospital
supply firm. The cost per thermometer depends on the order
size q, as shown in Table 6. The annual holding cost is 25%
of the purchasing cost. Let EOQ80 be the EOQ if the cost
per thermometer is 80¢, and let EOQ79 be the EOQ if the
cost per thermometer is 79¢.
a Explain why EOQ79 will be larger than EOQ80.

b Explain why the optimal order quantity must be ei-
ther EOQ79, EOQ80, or 100.

c If EOQ80 100, show that the optimal order quan-
tity must be EOQ79.

d If EOQ80

100 and EOQ79

100, show that the
optimal order quantity must be either EOQ80 or 100.
e If EOQ80

100 and EOQ79 100, show that the

optimal order quantity must be EOQ79.

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