In: Statistics and Probability
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 950 900 650
Outside vendor 850 650 500
Combination 1000 800 400
3. For the problem given above, the probabilities are given by P(high demand) = 0.4, P(medium demand) = 0.3, 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.