Question

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 $8, $10, and $11 per loudspeaker system, respectively, and the shipping costs from Plant II to each of these warehouses are $9, $8, and $7, 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 ______ systems
Plant I to Warehouse B ______ systems
Plant I to Warehouse C ______ systems
Plant II to Warehouse A ______ systems
Plant II to Warehouse B ______ systems
Plant II to Warehouse C ______ systems

What is the minimum cost?
$ __________