Solved: Refer to the decision tree attached. The pay-offs are profit values under each scenario

Refer to the decision tree attached. The pay-offs are profit values under each scenario. The best decision is ___ (type “A” for Invest and “B” for Do not Invest) and the expected pay-off is ___.

0.9 Success 45,000 Invest Failure 15,000 0.5 Success 30,000 Do not invest 0.5 Failure 0

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Expert Answer

Invest option:

Success = 0.9 * 45,000 = $40,500

Failure = 0.1 * -15,000 = -$1500

Total = $40,500 – $1500 = $39,000

Do not invest:

Success = 0.5 * 30,000 = $15,000

Failure = 0

Total = $15,000

The best decision is Invest (A)

The expected pay off is $40,500 (That is the profit of Option A (Invest)

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