Houston Korner Grocers buys fresh grapes from a local farmer every week. The weekly demand follows a normal distribution with a mean of 30 pounds with a standard deviation of 5 pounds. He buys fresh grapes at the rate of $1.20/pound and sells them at the rate of $3.00/pound during the week. All unsold grapes will be sold in the following week at the rate of $0.50/pound. How many pounds he should buy that will maximize his weekly profit?
A. 29
B. 31
C. 33
D. 35
Expert Answer
Given
Mean = 30 pounds
Standard deviation = 5
Cost = $1.2
Price = 3
Salvage value = $0.5
Overage
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