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A manager must choose either product line A or product line B for next year. Dem

ID: 3350279 • Letter: A

Question

A manager must choose either product line A or product line B for next year. Demand next year can be categorized as either On-The-Cheap or Upscale. The payoffs for the product lines under these demand states are as follows:

Product Line

Suppose the probability of an "Upscale" demand environment is 0.7. How much larger, in expected value, is the superior option to the inferior one? (If, say, the superior option has an expected value of 10 and the inferior option has an expected value of 8, the answer would be 2).

A manager must choose either product line A or product line B for next year. Demand next year can be categorized as either On-The-Cheap or Upscale. The payoffs for the product lines under these demand states are as follows:

Product Line

Demand State On The Cheap Upscale A 43 -12 B -5 49

Suppose the probability of an "Upscale" demand environment is 0.7. How much larger, in expected value, is the superior option to the inferior one? (If, say, the superior option has an expected value of 10 and the inferior option has an expected value of 8, the answer would be 2).

Explanation / Answer

Product Line A - E(A) = 0.3* 43 - 12* 0.7 = 4.5

Product line B - E(B) = 0.3*-5 + 0.7*49 = 32.8

Answer = 32.8 - 4.5 = 28.3

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