Use the following payoff table to complete parts (a) through (j). The probability of event 1 is 0.30, the probability of event 2 is 0.50, and the probability of event 3 is 0.20. a. Determine the optimal action based on the maximax criterion. Action is the optimal action based on the maximax criterion because its b. Determine the optimal action based on the maximin criterion. ACTION 500 EVENT Buy 100, A (S) Buy 200, B ($) Buy 500, C (S) Demand 100, 1 300 - 300 Demand 200, 2 Demand 500, 3 500 1,000 400 500 1,000 2,500 ▼payoff is the of all the actions.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.4: The Precision Tree Add-in
Problem 9P
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Use the following payoff table to complete parts (a) through (j). The probability of event 1 is 0.30, the
probability of event 2 is 0.50, and the probability of event 3 is 0.20.
a. Determine the optimal action based on the maximax criterion.
Action
is the optimal action based on the maximax criterion because its
b. Determine the optimal action based on the maximin criterion.
Action
is the optimal action based on the maximin criterion because its
c. Compute the expected monetary value (EMV) for each action.
EMV(A) = $
EMV(B) = $
EMV(C) = $
(Simplify your answare )
ACTION
EVENT Buy 100, A ($) Buy 200, B ($) Buy 500, C ($)
Demand 100, 1 500
300
- 300
Demand 200, 2
1,000
Demand 500, 3
400
500
500
1,000
2,500
payoff is the
payoff is the
of all the actions.
of all the actions.
Transcribed Image Text:Use the following payoff table to complete parts (a) through (j). The probability of event 1 is 0.30, the probability of event 2 is 0.50, and the probability of event 3 is 0.20. a. Determine the optimal action based on the maximax criterion. Action is the optimal action based on the maximax criterion because its b. Determine the optimal action based on the maximin criterion. Action is the optimal action based on the maximin criterion because its c. Compute the expected monetary value (EMV) for each action. EMV(A) = $ EMV(B) = $ EMV(C) = $ (Simplify your answare ) ACTION EVENT Buy 100, A ($) Buy 200, B ($) Buy 500, C ($) Demand 100, 1 500 300 - 300 Demand 200, 2 1,000 Demand 500, 3 400 500 500 1,000 2,500 payoff is the payoff is the of all the actions. of all the actions.
Use the following payoff table to complete parts (a) through (j). The probability of event 1 is 0.30, the
probability of event 2 is 0.50, and the probability of event 3 is 0.20.
EOL(A) = $
EOL(B) = $
EOL(C) = $
(Simplify your answers.)
ACTION
EVENT Buy 100, A ($) Buy 200, B ($) Buy 500, C ($)
- 300
500
500
300
1,000
400
500
1,000
2,500
Demand 100, 1
Demand 200, 2
Demand 500, 3
e. Explain the meaning of the expected value of perfect information (EVPI) in this problem. Choose the correct answer below.
A. The EVPI value provides a guideline for an upper bound on how much to consider paying for better information.
O B. The EVPI is the expected payoff that the company will receive with perfect information.
C. The EVPI is the value that the company should expect to pay for perfect information.
O D. The EVPI value provides a guideline for a lower bound on how much to consider paying for better information.
Transcribed Image Text:Use the following payoff table to complete parts (a) through (j). The probability of event 1 is 0.30, the probability of event 2 is 0.50, and the probability of event 3 is 0.20. EOL(A) = $ EOL(B) = $ EOL(C) = $ (Simplify your answers.) ACTION EVENT Buy 100, A ($) Buy 200, B ($) Buy 500, C ($) - 300 500 500 300 1,000 400 500 1,000 2,500 Demand 100, 1 Demand 200, 2 Demand 500, 3 e. Explain the meaning of the expected value of perfect information (EVPI) in this problem. Choose the correct answer below. A. The EVPI value provides a guideline for an upper bound on how much to consider paying for better information. O B. The EVPI is the expected payoff that the company will receive with perfect information. C. The EVPI is the value that the company should expect to pay for perfect information. O D. The EVPI value provides a guideline for a lower bound on how much to consider paying for better information.
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