Question: The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier.

The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent on the demand for the product. The following payoff table shows the projected profit (in thousands of dollars):
State of Nature
Low Demand Medium Demand High Demand
Decision Alternative s 1 s 2 s 3
Manufacture, d 1 -20 40 100
Purchase, d 2 10 45 70
The state-of-nature probabilities are P(s1) = 0.20, P(s2) = 0.20, and P(s3) = 0.60
(a)

Use a decision tree to recommend a decision.

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