Q1. A North Face retail store in Chicago sells 500 jackets each month. Each jacket costs the store $100 and the company has an annual holding cost of 25 percent. The fixed cost of a replenishment order (including transportation) is $100. The store currently places a replenishment order every month for 500 jackets. What is the annual holding and ordering cost? On average, how long does a jacket spend in inventory? If the retail store wants to minimize ordering and holding cost, what order size do you recommend? How much would the optimal order reduce holding and ordering cost relative to the current policy?

Q2. Demand for phones at Amazon is 5,000 per month. The holding cost at Amazon is 25 percent and the company incurs a fixed cost of $500 for each order placed. The supplier offers an all unit quantity discount with a price of $200 per phone for all orders under 10,000, a price of $195 for all orders of 10,000 or more but under 20,000 and a price of $190 for all orders of 20,000 or more. How many phones should Amazon order per replenishment?