all plant, medium or large plant. The best selection of plant size depends on how the marketplace reacts to the new product line. To conduct an analysis, marketing management has decided to view the possible long-run demand as low, medium, or high. The following payoff table shows the projected profit in millions of dollars:     Long-run Demand Plant Size Low Medi

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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Exhibit A.

Southland Corporation’s decision to produce a new line of recreational products resulted in the need to construct either a small plant, medium or large plant. The best selection of plant size depends on how the marketplace reacts to the new product line. To conduct an analysis, marketing management has decided to view the possible long-run demand as low, medium, or high. The following payoff table shows the projected profit in millions of dollars:

 

 

Long-run Demand

Plant Size

Low

Medium

High

Small

225

280

300

Medium

120

280

370

Large

75

280

750

 

Referring to Exhibit A,  

Assume that the prior probabilities for low, medium and high demand are  0.2, 0.5 and 0.3, respectively.

d. Construct a decision tree and solve this problem. Which decision alternative should be chosen and what is the expected payoff?

e. Consolidate the data and results in a table and update the decision tree to facilitate what-if analysis.

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