a. Construct the payoff table for this decision situation. b. Compute the expected value of each alternative amount of milk that could be stocked and select the best decision. c. Construct the opportunity loss table and determine the best decision. d. Compute the expected value of perfect information.
a. Construct the payoff table for this decision situation. b. Compute the expected value of each alternative amount of milk that could be stocked and select the best decision. c. Construct the opportunity loss table and determine the best decision. d. Compute the expected value of perfect information.
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Please show how to answer this questions a), b) and c).
![27. The Loebuck Grocery must decide how many cases of milk to stock each week to meet demand.
The probability distribution of demand during a week is shown in the following table:
Demand (cases)
5618
17
Probability
.20
25
40
.15
1.00
Each case costs the grocer $10 and sells for $12. Unsold cases are sold to a local farmer (who
mixes the milk with feed for livestock) for $2 per case. If there is a shortage, the grocer consid-
ers the cost of customer ill will and lost profit to be $4 per case. The grocer must decide how
many cases of milk to order each week.
a. Construct the payoff table for this decision situation.
b. Compute the expected value of each alternative amount of milk that could be
stocked and select the best decision.
c. Construct the opportunity loss table and determine the best decision.
d. Compute the expected value of perfect information.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9896f04-f825-497b-ab09-0c5e5b74d469%2Fa4991d3a-2c14-4fa6-9dca-c403b3b112ee%2F2oic9qp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:27. The Loebuck Grocery must decide how many cases of milk to stock each week to meet demand.
The probability distribution of demand during a week is shown in the following table:
Demand (cases)
5618
17
Probability
.20
25
40
.15
1.00
Each case costs the grocer $10 and sells for $12. Unsold cases are sold to a local farmer (who
mixes the milk with feed for livestock) for $2 per case. If there is a shortage, the grocer consid-
ers the cost of customer ill will and lost profit to be $4 per case. The grocer must decide how
many cases of milk to order each week.
a. Construct the payoff table for this decision situation.
b. Compute the expected value of each alternative amount of milk that could be
stocked and select the best decision.
c. Construct the opportunity loss table and determine the best decision.
d. Compute the expected value of perfect information.
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