In: Math
*Include all calculations and no excel please*
A buyer for National Sports must place orders with Saucony prior to the time the shows will be sold as they are manufactured overseas and shipping takes several months. The buyer must decide on November 1 how many pairs of the latest model Saucony’s to order for sale during the coming summer season. Saucony’s ordering policy requires retailers to purchase shoes in lots of 100 pair. Saucony charges National Sports $45 per pair. National retails them at $70 per pair. Any pairs remaining unsold at the end of the summer season will be sold at a 50% closeout sale next fall ($35 per pair). Market research by Nielsen suggests the following probabilities of demand for the new shoes:
Demand (100s of pairs) | Probability |
3 | 0.10 |
4 | 0.20 |
5 | 0.35 |
6 | 0.30 |
7 | 0.05 |