Statistics- Fenton and Farrah Friendly, husband-and-wife car dealers

QUESTION

4. Fenton and Farrah Friendly, husband-and-wife car dealers, are soon going to open a new dealership. They have three offers: from a foreign compact car company, from a U.S. – producer of full-sized cars, and from a truck company. The success of each type of dealership will depend on how much gasoline is going to be available during the next few years. The profit from each type of dealership, given the availability of gas, is shown in the following payoff table: Gasoline AvailabilityDealership Shortage Surplus .6 .4______________________________________________________Compact cars $300,000 $150,000Full-sized cars –100,000 600,000Trucks 120,000 170,000a. Determine which type of dealership the couple should purchase using the expected value criterion.b. Determine the expected value of perfect information.

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