Shipping Costs

Acrosonic manufactures a model G loudspeaker system in plant I and II. The output at plant I is at most 800 systems/month, whereas the output at plant II is at most 600/month. These loudspeaker systems are also shipped to the three warehouses—A, B, and C—whose minimum monthly requirements are 500, 400, and 400, respectively. Shipping costs from plant I to warehouse A, warehouse B, and warehouse C are $16, $20, and $22/loudspeaker system, respectively, and shipping costs from plant II to each of these warehouses are $18, $16, and $14, respectively. What shipping schedule will enable Acrosonic to meet the warehouse requirements and at the same time keep its shipping costs to a minimum? What is the minimum cost?