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3. For the problem given in Question 2, the probabilities are given by P(high de

ID: 3229678 • Letter: 3

Question

3. For the problem given in Question 2, the probabilities are given by P(high demand) = 0.2, P(medium demand) = 0.5, and P(low demand) = 0.3.

a. Compute the expected value for each decision and select the best one.

b. Compute the expected regret value for each decision and select the best one.

c. Calculate and interpret the expected value of perfect information.

HERE IS PROBLEM 2 FOR REFERENCE:

A company is considering three options for managing its data processing operation: continuing with its own staff, hiring an outside vendor to do the managing, or using a combination of its own staff and an outside vendor. There are three levels of demand under consideration: high, medium, and low. The annual profit associated with each option (in $1,000) for each level of demand is given below:

                                                 Demand Level

Staffing Options           High       Medium       Low    

Own staff                        1000          800            450

Outside vendor               800           700            550

Combination                  900           750            600

Explanation / Answer

a)

Demand Level Staffing Options High Medium Low Own staff 1000 800 450 735 Outside vendor 800 700 550 675 Combination 900 750 600 735 0.2 0.5 0.3 Hence, either choosing own staff or a combination would be better alternative b) Demand Level Staffing Options High Medium Low Own staff 0 (1000-1000) 0 (800-800) 150 (600-450) 150 Outside vendor 200 (1000-800) 100 (800-700) 50 (600-550) 350 Combination 100 (1000-900) 50 (800-750) 0 (600-600) 150 The own staff or a combination have less regret than outside vendor. Hence, either choosing own staff or a combination would be better alternative c) EVPI=EVwPI-EVwoPI (Maximum EMV) EVwPI=1000(0.2)+800(0.5)+600(0.3)=200+400+180=780 EVwoPI=735 EVPI=780-735=45
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