(a) Which alternative should the manager choose under the maximax criterion?  (b) Which option should the manager choose under the maximin criterion?  (c) Which option should the manager choose under the LaPlace criterion?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 47E
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A company is considering a project which has three options. The payoffs are shown in the body of the
table. In this instance, the payoffs are in terms of present values, which represent equivalent current
dollar values of expected future income less costs. This is a convenient measure because it places all
alternatives on a comparable basis. If a small facility is built, the payoff will be the same for all three
possible states of nature. For a medium facility, low demand will have a present value of $7 million,
whereas both moderate and high demand will have present values of $12 million. A large facility will
have a loss of $4 million if demand is low, a present value of $2 million if demand is moderate,
and a present value of $16 million if demand is high.
The payoff table depicting revenues and is shown in the following table.

(a) Which alternative should the manager choose under the maximax criterion? 
(b) Which option should the manager choose under the maximin criterion? 
(c) Which option should the manager choose under the LaPlace criterion? 

payoffs (PV in
millions)
states of
nature
Option
Low
Moderate
high
Small
10
10
10
Medium
7
12
12
Large
-4
2
16
Transcribed Image Text:payoffs (PV in millions) states of nature Option Low Moderate high Small 10 10 10 Medium 7 12 12 Large -4 2 16
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