# A firm must decide whether to construct a small, medium or large stamping plant. A consultant’s report indicates a

QUESTION:

A firm must decide whether to construct a small, medium or large stamping plant. A consultant’s report indicates a .20 probability that demand will be low and a .80 probability that demand will be high.

(1) If the firm builds a small facility and demand turns out to be low, the net present value will be \$ 42 million.

(2) If demand turns out to be high, the firm can either subcontract and realize the net present value of \$ 42 million or expand greatly for a net present value of \$ 48 million.

(3) If demand turns out to be low, its net present value is estimated at \$ 22 million.

(4) If demand turns out to be high, the firm could do nothing and realize a net present value of \$ 46 million.

OR

It could expand and realize a net present value of \$ 50 million.

(5) If the firm builds a large facility and demand is low, the net present value will be \$ 20 million, whereas high demand will result in a net present value of \$ 72 million.

a. Analyze this problem using a decision tree.

b. What is the maximin alternative?

c. Compute the EVPI and interpret it.

d. Perform sensitivity analysis on P (high).

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