29
AssignmentMultiple Select

Expected Value

Question 29 • CREDIT RE-SEAT MNPS Integrated Math III IC S2 26-27

Which of the following did your solution include?

Answer
A
P = $240,000 – $196,000 = $44,000.
B
The expected value is a weighted average of each possible value weighted by its probability.
C
EV = ($44,000)(0.75) + ($–196,000)(0.25) = $–16,000.
D
The expect average profit is $–16,000.
E
The company should not make the product.

Explanation

The profit if the product succeeds is $240,000 − $196,000 = $44,000. Expected value is the probability-weighted average of the possible profits, so EV = ($44,000)(0.75) + (−$196,000)(0.25) = −$16,000. Thus the expected average profit is a loss of $16,000, so the company should not make the product.

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