Daily demand for fresh cauliflower in the ZZ-Warehouse store follows normal distribution with mean 100 cartons and s.d. 20 cartons. The ZZ-Warehouse buys at a cost of $50.00 per carton, sells it for $70.00 per carton. Unsold cartons are sold for $20.00 per carton. Cost of shortage = 70-50 = 20; cost of excess = 50-20 = 30; Ratio using (20.1), the service level = (20/(20+30))= 0.4 What is the optimal order quantity, using the single period – continuous demand model? a. 105 b. 95 c. 110 d. 100 e. 80

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 47P
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Daily demand for fresh cauliflower in the ZZ-Warehouse store follows normal distribution with mean 100 cartons and s.d. 20 cartons.

The ZZ-Warehouse buys at a cost of $50.00 per carton, sells it for $70.00 per carton.

Unsold cartons are sold for $20.00 per carton.

Cost of shortage = 70-50 = 20; cost of excess = 50-20 = 30;

Ratio using (20.1), the service level = (20/(20+30))= 0.4

What is the optimal order quantity, using the single period – continuous demand model?


a. 105
b. 95
c. 110
d. 100
e. 80
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