A perishable dairy product is ordered daily at a particular supermarket. The product, which costs $1.20 per unit, sells for $1.64 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= 145 and= 30.

Note: Use Appendix B to identify the areas for the standard normal distribution.

1. What is your recommended daily order quantity for the supermarket? Round your answer to the nearest whole number.

a. Q*=

b. What is the probability that the supermarket will sell all the units it orders? Round your answer to three decimal places.

P(Stockout) =

c. 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?

1. The lower rebate decreasesthe quantity that the supermarket should order.