Practical Management Science
5th Edition
ISBN: 9781305250901
Author: Wayne L. Winston, S. Christian Albright
Publisher: Cengage Learning
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Chapter 5, Problem 65P
Summary Introduction
To assign: The professors to sections that maximizes the total satisfaction.
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 unfeasible solution.
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FRUIT COMPUTER COMPANY
Fruit Computer Company manufactures memory chips in batches of ten chips. From past experience, Fruit knows that 80% of all batches contain 10% (1 out of 10) defective chips, and 20% of all batches contain 50% (5 out of 10) defective chips. If a good (that is, 10% defective) batch of chips is sent to the next stage of production, processing costs of $4000 are incurred, and if a bad batch (50% defective) is sent on to the next stage of production, processing costs of $16000 are incurred. Fruit also has the alternative of reworking a batch at a cost of $4000. A reworked batch is sure to be a good batch. Alternatively, for a cost of $400, Fruit can test one chip from each batch in an attempt to determine whether the batch is defective.
QUESTIONS
1.Determine a strategy so Fruit can minimize the expected total cost per batch.
2.Compute the EVSI and EVPI.
A political party is planning a ninety-minute television show. The show will have at least 9 minutes of direct requests for money from viewers. Three of the party's politicians will be on the
show- a senator, a congresswoman, and a governor. The senator, a party "elder statesman," demands that he be on screen for at least twice as long as the governor. The total time taken by the
senator and the governor must be at least twice the time taken by the congresswoman. Based on a pre-show survey, it is believed that 37, 41, and 45 (in thousands) viewers will watch the
program for each minute the senator, congresswoman, and governor, respectively, are on the air. Find the time that should be allotted to each politician in order to get the maximum number of
viewers. Find the maximum number of viewers.
The quantity to be maximized, z, is the number of viewers in thousands. Let x, be the total number of minutes allotted to the senator, × be the total number of minutes allotted to the…
Chapter 5 Solutions
Practical Management Science
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