The University of Miami bookstore stocks textbooks in preparation for sales each semester. It normally relies on departmental forecasts and preregistration records to determine how many copies of a text are needed. Preregistration shows 85 operations management students enrolled, but bookstore manager Vaidy Jayaraman has second thoughts, based on his intuition and some historical evidence. Vaidy believes that the distribution of sales may range from 65 to 85 units, according to the following probability model: Demand Probability 65 0.05 Stock 70 0.25 65 70 75 80 85 This textbook costs the bookstore $82 and sells for $107. Any unsold copies can be returned to the publisher, less a restocking fee and shipping, for a net refund of $30. a) Based on the given information, Vaidy's conditional profits table for the bookstore is: Demand 75 p=0.30 65 P=0.05 70 P 0.25 75 0.30 ☐☐☐☐ 80 0.15 80 p=0.15 85 P = 0.25 85 0.25 ☐☐☐☐☐

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 30P
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The University of Miami bookstore stocks textbooks in preparation for sales each semester. It normally relies on departmental forecasts and
preregistration records to determine how many copies of a text are needed. Preregistration shows 85 operations management students enrolled, but
bookstore manager Vaidy Jayaraman has second thoughts, based on his intuition and some historical evidence. Vaidy believes that the distribution
of sales may range from 65 to 85 units, according to the following probability model:
Demand
Probability
65
0.05
Stock
65
70
75
80
85
70
0.25
This textbook costs the bookstore $82 and sells for $107. Any unsold copies can be returned to the publisher, less a restocking fee and shipping,
for a net refund of $30.
a) Based on the given information, Vaidy's conditional profits table for the bookstore is:
Demand
75
P=0.30
65
P = 0.05
0000
70
P = 0.25
75
0.30
☐☐☐☐
80
0.15
00000
80
85
P = 0.15 P = 0.25
30000
85
0.25
☐☐☐☐
Transcribed Image Text:The University of Miami bookstore stocks textbooks in preparation for sales each semester. It normally relies on departmental forecasts and preregistration records to determine how many copies of a text are needed. Preregistration shows 85 operations management students enrolled, but bookstore manager Vaidy Jayaraman has second thoughts, based on his intuition and some historical evidence. Vaidy believes that the distribution of sales may range from 65 to 85 units, according to the following probability model: Demand Probability 65 0.05 Stock 65 70 75 80 85 70 0.25 This textbook costs the bookstore $82 and sells for $107. Any unsold copies can be returned to the publisher, less a restocking fee and shipping, for a net refund of $30. a) Based on the given information, Vaidy's conditional profits table for the bookstore is: Demand 75 P=0.30 65 P = 0.05 0000 70 P = 0.25 75 0.30 ☐☐☐☐ 80 0.15 00000 80 85 P = 0.15 P = 0.25 30000 85 0.25 ☐☐☐☐
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