What is the expected payoff


Assignment:

Using the below information complete the mcq:

The national sales manager for Haynes T-shirts supplies all salespersons with the payoff table shown below, giving the potential profit generated when a retailer purchases from 1 to 4 dozen, as well as an opportunity loss table showing the potential lost profit for each purchase act. The probability of demand for each state of nature is also shown.

 

Payoff Demand

 

Opportunity Loss Demand

Purchase

1

2

3

4

 

1

2

3

4

1

120

120

120

120

 

0

120

240

360

2

0

240

240

240

 

120

0

120

240

3

-120

120

360

360

 

240

120

0

120

4

-240

0

240

240

 

360

240

120

0

Probability

0.4

0.3

0.2

0.1

 

0.4

0.3

0.2

0.1

Q1 What is the expected payoff for purchasing 1 dozen T-Shirts?

a. 0

b. 96
c. 12
d. 144

Q2 What is the expected payoff for purchasing 2 dozen T-Shirts?

a. 0
b. 96
c. 12
d. 144

Q3 What is the expected payoff for purchasing 3 dozen T-Shirts?

a. 0
b. 96
c. 12
d. 144

Q4 How many dozen T-Shirts should be purchased to yield the highest expected payoff?

a. 1
b. 2
c. 3
d. 4

Q5 What is the expected opportunity loss for purchasing 1 dozen T-shirts?

a. 96
b. 120
c. 144
d. 240

Q6 What is the expected opportunity loss for purchasing 3 dozen T-shirts?

a. 96
b. 120
c. 144
d. 240

Q7 How many dozen T-shirts should be purchased to minimize the expected opportunity loss?

a. 1
b. 2
c. 3
d. 4

Q8 What is the maximum expected payoff under conditions of certainty?

a. 96
b. 120
c. 144
d. 240

Q9 What is the value of perfect information?

a. 0
b. 96
c. 120
d. 159

Q10 How many dozen T-shirts should be purchased if the maximin strategy is used?

a. 1
b. 2
c. 3
d. 4

Q11 How many dozen T-shirts should be purchased if the maximax strategy is used?

a. 1
b. 2
c. 3
d. 4

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