. Demand for walnut fudge ice cream at the Sweet Cream Dairy can be approximated by a normal
distribution with a mean of 21 gallons per week and a standard deviation of 3.5 gallons per week.
The new manager desires a service level of 90 percent. Lead time is two days, and the dairy is
open seven days a week. (Hint: Work in terms of weeks.)
a. If an ROP model is used, what ROP would be consistent with the desired service level? How
many days of supply are on hand at the ROP, assuming average demand?
b. If a fixed-interval model is used instead of an ROP model, what order size would be needed
for the 90 percent service level, with an order interval of 10 days and a supply of 8 gallons on
hand at the order time?
What is the probability of experiencing a stockout before this order
arrives?
c. Suppose the manager is using the ROP model described in part a. One day after placing an
order with the supplier, the manager receives a call from the supplier that the order will be
delayed because of problems at the supplier’s plant. The supplier promises to have the order
there in two days. After hanging up, the manager checks the supply of walnut fudge ice cream
and finds that 2 gallons have been sold since the order was placed. Assuming the supplier’s
promise is valid, what is the probability that the dairy will run out of this flavor before the
shipment arrives?
