Chapter 4.3, Problem 28E

MINIMIZING SHIPPING COSTS Steinwelt Piano manufactures uprights and consoles in two plants, Plant I and Plant IL The output of Plant I is at most 300/month, whereas the out-put of Plant II is at most $250/\text{month}$. These pianos are shipped to three warehouses that serve as distribution centers for the company. To fill current and projected orders, Ware-house A requires a minimum of $200\text{ pianos/month}$, Ware-house B requires at least $150\text{ pianos/month}$, and Warehouse C requires at least 200 pianos/month. The shipping cost of each piano from Plant Ito Warehouse A, Warehouse B, and Warehouse C is $\$60,\$60,\text{and }\$80$, respectively, and the ship-ping cost of each piano from Plant II to Warehouse A, Ware-house B, and Warehouse C is $\$80,\$70,\text{and }\$50$, respectively. Use the method of this section to determine the shipping schedule that will enable Steinwelt to meet the warehouses' requirements while keeping the shipping costs to a minimum.