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Question: A perishable dairy product is ordered daily at a particular supermarket. The product, which costs $1.23 per unit, sells for $1.74 per unit. If units are unsold at the end of the day, the supplier takes them back at a rebate of $1 per unit. Assume that daily demand is approximately normally distributed with µ = 145 and σ = 25.
What is your recommended daily order quantity for the supermarket? Round your answer to the nearest whole number.
Q* = fill in the blank 1
What is the probability that the supermarket will sell all the units it orders? Round your answer to three decimal places.
P(Stockout) = fill in the blank 2
In problems such as these, why would the supplier offer a rebate as high as $1? For example, why not offer a nominal rebate of, say, 25¢ per unit? What happens to the supermarket order quantity as the rebate is reduced?
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