For a given perishable product, a retailer pays $5 for each unit, then sells them for $10 each. At the end of the day, units not sold at the store are disposed of, and the retailer receives just $1 for each. Given the following probability distribution describing daily demand, how many units should be stocked? x    Prob. (Demand = x)   x    Prob. (Demand = x)  0     0.01                          7         0.18 1     0.02                          8         0.14 2     0.04                          9         0.09 3      0.07                        10        0.05 4     0.09                         11        0.02 5      0.12                        12        0.01

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.3: Single-stage Decision Problems
Problem 5P
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For a given perishable product, a retailer pays $5 for each unit, then sells them for $10 each. At the end of the day, units not sold at the store are disposed of, and the retailer receives just $1 for each. Given the following probability distribution describing daily demand, how many units should be stocked?

x    Prob. (Demand = x)   x    Prob. (Demand = x) 

0     0.01                          7         0.18

1     0.02                          8         0.14

2     0.04                          9         0.09

3      0.07                        10        0.05

4     0.09                         11        0.02

5      0.12                        12        0.01

6       0.15                       13         0.01

 

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,