Wegmans sells a basket of assorted chocolate at a selling price
of $20. The unit procurement cost for one basket is $8. Weekly
demand for this product is normally distributed with a mean of 500
boxes and a standard deviation of 50. The replenishment lead time
is a month and the store manager has decided to review the
inventory every two weeks. Wegmans incurs $2 to hold an unsold
basket over to the next review period. Assume that any excess
demand is backordered with the cost of handling each back-order
being $10 per unit. (A month=4 weeks)
a) What is the desired service level?
b) What is the optimal base-stock level and safety stock?
c) What is the optimal safety stock if the store manager decides to
review the inventory every week?
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