9.  A​ decision-maker has two alternative courses of​ action, A1 and A2. There are three possible states of​ nature, S1​, S2​, and S3. The table of conditional​ profits, as well as the probabilities for the states of​ nature, appear below. Based on this decision​ table, which decision alternative produces the higher​ EMV?                                                                                                              States of Nature Alternatives S1 S2 S3 A1 ​10,000 ​20,000 ​6,000 A2 ​5,000 ​30,000 ​15,000 Probability 0.3 0.5 0.2 Part 2 The best decision is ▼   a. alternative Upper A 1alternative A1 b. alternative Upper A 2alternative A2 ​, with an EMV=​$________​(enter your response as a whole​ number).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.2: Elements Of Decision Analysis
Problem 2P
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9. 

A​ decision-maker has two alternative courses of​ action,
A1
and
A2.
There are three possible states of​ nature,
S1​,
S2​,
and
S3.
The table of conditional​ profits, as well as the probabilities for the states of​ nature, appear below. Based on this decision​ table, which decision alternative produces the higher​ EMV?
                                                                                                          
 
States of Nature
Alternatives
S1
S2
S3
A1
​10,000
​20,000
​6,000
A2
​5,000
​30,000
​15,000
Probability
0.3
0.5
0.2
Part 2
The best decision is
 
a. alternative Upper A 1alternative A1
b. alternative Upper A 2alternative A2
​,
with an
EMV=​$________​(enter your response as a whole​ number).
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