Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 3.8, Problem 22P
Summary Introduction
To modify: The spreadsheet model with the new assumption.
Introduction: In linear programming, the unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints, then it is said to be an unfeasible solution.
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The annual demand for a product of XYZ company is 12.000. The cost of ordering this product is CU25 and the holding cost is CU0.5/(piece year). The company in question wishes to follow the "Pending Order" stock policy and the holding cost is CU5/(piece year). The lead time for this product is 2 days and it is worked for 300 days a year. In this case, calculate the economic order quantity, the highest pending order quantity and the highest stock level
James Beerd bakes cheesecakes and Black Forest cakes. During any month, he can bake at most 65 cakes. The costs per cake and the demands for cakes, which must be met on time, are listed in Table 33. It costs 500 to hold a cheesecake, and 40¢ to hold a Black Forest cake, in inventory for a month. Formulate an LP to minimize the total cost of meeting the next three months’ demands.
table 33
Month 1
Month 2
Month 3
Item
Demand
Cost/Cake ($)
Demand
Cost/Cake ($)
Demand
Cost/Cake ($)
Cheesecake
40
3.00
30
3.40
20
3.80
Black Forest
20
2.50
30
2.80
10
3.40
A book shop is planning to order calendars for sale starting in October. Only one order is placed. The calendars cost $1.50 and the shop sells them for $3 each. At the end of December, the shop reduces the calendar price to $1 and can sell all the surplus calendars at this price. The October-to-December demand can be approximated by a normal distribution with = 500 calendars and = 120 calendars.1. What inventory model should be used to determine the order quantity to maximize the total expected proÖt? Why?2. What is the optimal service level?3. How many calendars should the shop order so as to maximize the total expected proÖt?
Chapter 3 Solutions
Practical Management Science
Ch. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.6 - Prob. 6PCh. 3.6 - Prob. 7PCh. 3.6 - Prob. 8PCh. 3.6 - Prob. 9PCh. 3.7 - Prob. 10P
Ch. 3.7 - Prob. 11PCh. 3.7 - Prob. 12PCh. 3.7 - Prob. 13PCh. 3.7 - Prob. 14PCh. 3.7 - Prob. 15PCh. 3.7 - Prob. 16PCh. 3.7 - Prob. 17PCh. 3.8 - The Pigskin Company produces footballs. Pigskin...Ch. 3.8 - The Pigskin Company produces footballs. Pigskin...Ch. 3.8 - The Pigskin Company produces footballs. Pigskin...Ch. 3.8 - Prob. 21PCh. 3.8 - Prob. 22PCh. 3.8 - Prob. 23PCh. 3.8 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Prob. 1C
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