Chapter 12, Problem 15QP

Please answer b

Demand(box) 10 11 12 13 14 15 and and more less Possibility 0.1 0.18 0.26 0.24 0.12 0.1 A business that will open a gift shop in Los Angeles is considering making and selling love- themed magnets. It is thought that it will not be possible to order new magnets during the fair period, and magnets that are not sold during the fair period will not be sold later. A box of magnets costs the business $100 and generates $460 from its sale. The table includes predictions about demand probabilities. a-) What is the overstocking cost of the business in dollars/box? b-) How many dollars/box is the missing stocking cost?

14. 12 The purchasing manager for the Atlantic Steel Company must determine a policy for ordering coal to operate 12 converters. Each converter requires exactly 5 tons of coal per day to operate, and the firm operates 360 days per year. The purchasing manager has determined that the ordering cost is $80 per order and the cost of holding coal is 20% of the average dollar value of inventory held. The purchasing manager has negotiated a contract to obtain the coal for $12 per ton for the coming year. a. Determine the optimal quantity of coal to receive in each order. (Ans: 1200 tons) b. Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost of the coal). (Ans: TC= $2880) c. If 5 days of lead time are required to receive an order of coal, how much coal should be on hand when an order is placed? (Ans= R=300 tons)