A firm that plans to expand its product line must decide whether to build a small or a large facilityto produce the new products. If it builds a small facility and demand is low, the net present valueafter deducting for building costs will be $400,000. If demand is high, the firm can either maintainthe small facility or expand it. Expansion would have a net present value of $450,000, and maintaining the small facility would have a net present value of $50,000.If a large facility is built and demand is high, the estimated net present value is $800,000. If demandturns out to be low, the net present value will be – $10,000.The probability that demand will be high is estimated to be .60, and the probability of low demandis estimated to be .40.a. Analyze using a tree diagram.b. Compute the EVPI. How could this information be used?c. Determine the range over which each alternative would be best in terms of the value of P(demand low).
A firm that plans to expand its product line must decide whether to build a small or a large facility
to produce the new products. If it builds a small facility and demand is low, the
after deducting for building costs will be $400,000. If demand is high, the firm can either maintain
the small facility or expand it. Expansion would have a net present value of $450,000, and maintaining the small facility would have a net present value of $50,000.
If a large facility is built and demand is high, the estimated net present value is $800,000. If demand
turns out to be low, the net present value will be – $10,000.
The probability that demand will be high is estimated to be .60, and the probability of low demand
is estimated to be .40.
a. Analyze using a tree diagram.
b. Compute the EVPI. How could this information be used?
c. Determine the range over which each alternative would be best in terms of the value of P
(demand low).
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