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Jane makes production plans for next month but she does not know what the output’s price will be next month

Jane makes production plans for next month but she does not know what the output’s price will be next month. She believes there is a 50% chance price will be $500 and another 50% chance price will be $750. the four possible profit outcomes are:


Profit When Price Is:

$500
$750
Option A: produce 1,000 units
$10
$80
Option B: produce 2,000 units
$20
$100

a. If Jane maximizes her expected profit, which option should she choose?
b. Which option is more risky than the other?
c. Can Jane apply mean-variance rule to make her decision? If so, which one?
d. Use the coefficient of variation, which option would Jane choose?