A supermarket in Seattle must decide how many wedding cakes to prepare for the upcoming weekend. Cakes cost $33 each to make, and they sell for $60 each. At the very last hour of the day, any unsold boxes are reduced to “half-price”. Holding cost is negligible. Analysis of recent demand resulted in the following table: Demand  Probability 0 .15 1 .35 2 .30 3 .20 How many cakes should be prepared to maximize expected profit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A supermarket in Seattle must decide how many wedding cakes to prepare for the upcoming
weekend. Cakes cost $33 each to make, and they sell for $60 each. At the very last hour of the
day, any unsold boxes are reduced to “half-price”. Holding cost is negligible. Analysis of recent
demand resulted in the following table:

Demand  Probability
0 .15
1 .35
2 .30
3 .20

How many cakes should be prepared to maximize expected profit?

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