19-10. A real estate investor in a medium-sized western city is considering three investments: an apartment building, a strip mall, and an office building. Returns from each investment alternative depend on future population growth. The investor has developed three growth scenarios showing the rev- enue from each investment alternative along with their probabilities of occurrence. This information is shown in the following table: Population Growth Slow Average High Probability Apartment Mall 0.20 - $75,000 $15,000 0.30 10,000 30,000 0.50 150,000 75,000 For the given payoff matrix, what is the best decision and its associated payoff using each of the following? a. the maximax criterion b. the maximin criterion Office $200,000 50,000 100,000 c. the minimax regret criterion d. the expected-value criterion

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 31P
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Please do A-C, If you could do D also it would be greatly appreciated.
19-10. A real estate investor in a medium-sized western
city is considering three investments: an apartment
building, a strip mall, and an office building.
Returns from each investment alternative depend
on future population growth. The investor has
developed three growth scenarios showing the rev-
enue from each investment alternative along with
their probabilities of occurrence. This information
is shown in the following table:
Population
Growth
Slow
Average
High
Probability Apartment Mall
0.20
0.30
0.50
-$75,000 $15,000-$200,000
10,000
150,000
Office
30,000
75,000
c. the minimax regret criterion
d. the expected-value criterion
50,000
100,000
For the given payoff matrix, what is the best
decision and its associated payoff using each of
the following?
a. the maximax criterion
b. the maximin criterion
Transcribed Image Text:19-10. A real estate investor in a medium-sized western city is considering three investments: an apartment building, a strip mall, and an office building. Returns from each investment alternative depend on future population growth. The investor has developed three growth scenarios showing the rev- enue from each investment alternative along with their probabilities of occurrence. This information is shown in the following table: Population Growth Slow Average High Probability Apartment Mall 0.20 0.30 0.50 -$75,000 $15,000-$200,000 10,000 150,000 Office 30,000 75,000 c. the minimax regret criterion d. the expected-value criterion 50,000 100,000 For the given payoff matrix, what is the best decision and its associated payoff using each of the following? a. the maximax criterion b. the maximin criterion
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