A group of medical professionals is considering the construction of a private clinic. If the medical demand is high, the physicians could realize a net profit of $100,000. If the market is not favorable, they could lose $40,000. They can also decide not to pursue the venture. In the absence of any market data, the best guess is that there is a 50-50 chance the clinic will be successful.
The physicians are approached by a market research firm that offers to perform a study of the market at a fee of $5,000. There is a 55% chance that the market study is favorable. The market researchers claim the following about their past performance:
P(favorable market given a favorable study) = 0.82
P(favorable market given an unfavorable study) = 0.11
a. What is the EVPI?
b. What is the expected value with the sample information (i.e., market study)?
c. How much should the physicians be willing to pay for a market study?
d. What is the efficiency of the sample information (3 decimals)?