Question

Acrosonic manufactures a model G loudspeaker system in Plants I and II. The output at Plant...

Acrosonic manufactures a model G loudspeaker system in Plants I and II. The output at Plant I is at most 800/month, and the output at Plant II is at most 600/month. Model G loudspeaker systems are also shipped to the three warehouses—A, B, and C—whose minimum monthly requirements are 500, 400, and 400 systems, respectively. Shipping costs from Plant I to Warehouse A, Warehouse B, and Warehouse C are $48, $60, and $66 per loudspeaker system, respectively, and the shipping costs from Plant II to each of these warehouses are $54, $48, and $42, respectively. What shipping schedule will enable Acrosonic to meet the requirements of the warehouses while keeping its shipping costs to a minimum?

Plant I to Warehouse A

Plant I to Warehouse B

Plant I to Warehouse C

Plant II to Warehouse A

Plant II to Warehouse B

Plant II to Warehouse C

What is the minimum cost?

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