# Math

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Steinwelt Piano manufactures uprights and consoles in two plants, Plant 1 and plant 2. the output of plant 1 is at most 300/month, and the out put of plant 2 is at most 250/month. theses pianos are shipped to three warehouses that serve as distribution centers for Steinwelt. To fill current and projected future orders,Warehouse A requires a minimum of 200 piano/nibtm Warehouse B requires at least 150 pianos/month, and Wrehouse C requires at least 200 pianos/month. The shipping cost of each piano from Plant 1 to Warehouse A, Warehouse B, and Warehouse C is \$60, \$60, and \$80, respectively, and the shipping cost of each piano from Plant 2 to Warehouse A, Warehouse B, and Warehouse C is \$80, \$70, and \$50, repectively. What shipping schedule will enable Steinwelt to meet the requirements of the warehouses while keeping the shipping costs to a minimum? What is the minimum cost?

• Math - ,

cheapest is plant 2 to C,
so send 200 2-C \$10,000
then 50 2-B \$3,500
C has enough
Plant 1 maxed out

200 1-A \$12,000
A has enough
100 1-B \$6,000
B has enough (50 from 1, a00 from 2)
add up
\$ 31,500

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