Question

In: Statistics and Probability

            You have decided to open a restaurant in Huntington. The following table gives the payoffs...

            You have decided to open a restaurant in Huntington. The following table gives the payoffs based on two states of nature, favorable and unfavorable demand. You     believe that the probability of a favorable market is 0.8. You can open any one of        three different sizes of restaurant.     

Open

Favorable

Unfavorable

Large Restaurant

50,000

-40,000

Medium Restaurant

40,000

-10,000

Small Restaurant

20,000

10,000

            You have decided to do some marketing research (using the skills that you learned). If the marketing research is positive (probability = .7), then the probability of favorable demand goes to .95. If the marketing research is negative (shows weak demand) (probability of .3), then the probability of favorable demand goes to .40.

  1. Using all of the information, what should you do? Provide calculations.
  1. What is the expected value of perfect information?
  1. What is the expected value of sample information?

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