operations-management Essay Construct a decision tree for the follow

Construct a decision tree for the following decision situation and indicate the best decision. Fenton and Farrah Friendly, husband-and-wife car dealers, are soon goingto open a new dealer ship. 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                        .4Compact cars                    $300,000               $150,000Full-sized cars                   -100,000               600,000Trucks                                 120,000               170,000

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