profit outcome
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A firm is making production plans for next quarter, but the manager does not know what the price of the product will be next month. She believes there is a 30 percent chance price will be $500 and a 70 percent chance price will be $750. The four possible profit outcomes are:
Profit (loss) when price is:
$500 $750
Option A: produce 1,000 units -$12,000 $80,000
Option B: produce 2,000 units -$20,000 $150,000
a. Which option has the higher expected profit?
b. Which option has the highest (absolute) risk?
c. Which option is chosen using the coefficient of variation rule?
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a. Which option has the higher expected profit?
Option A: E(profit) = 30% * (-12000) + 70% * 80000 = 52,400
Option B: E(profit) = 30% * (-20000) + 70% * 150000 = 99,000
Thus, Option B has the higher expected profit.
b. ...
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