Formulate but do not solve the following exercise as a linear programming problem. Steinwelt Piano manufactures uprights and consoles in two plants, plant I and plant II. The output of plant I is at most 300/month, whereas the output of plant II is at most 250/month. These pianos are shipped to three warehouses that serve as distribution centers for the company. To fill current and projected future orders, warehouse A requires a minimum of 150 pianos/month, warehouse B requires at least 200 pianos/month, and warehouse C requires at least 200 pianos/month. The shipping cost of each piano from plant I to warehouse A, warehouse B, and warehouse C is $60, $30, and $50, respectively, and the shipping cost of each piano from plant II to warehouse A, warehouse B, and warehouse C is $90, $50, and $40, respectively. What shipping schedule will enable Steinwelt to meet the warehouses' requirements while keeping shipping costs to a minimum?
A) Minimize: