A distributor stocks six products that are supplied by the same manufacturer. The data for each product is given below. The manufacturer owns her own trucks and requires full truckload shipments. The truck can carry 400 units of the products, in any combination.

Management has set a 97.25% fill rate target for each product. P-96 Product Di Yi xˆL+R σL+R 1 1,000 42 83 20 2 2,000 83 167 50 3 560 23 46 10 4 850 35 70 20 5 4,200 175 350 120 6 1,000 42 83 32 At a given review instant, assume that the inventory positions of the products are 50, 175, 30, 60, 350, and 100, respectively. Should an order be placed, and if so, how much should be ordered of each product? P-96