Bagwell Distributors packages and distributes industrial supplies. A standard shipment can be packaged in a class A container, a class K container, or a class T container. A single class A container yields a profit of $8; a class K container, a profit of $6; and a class T container, a profit of $14. Each shipment prepared requires a certain amount of packing material and a certain amount of time, as seen in the following table:

Bill Bagwell, head of the firm, must decide the optimal number of each class of container to pack each week. He is bound by the previously mentioned resource restrictions, but he also decides that he must keep his six full-time packers employed all 240 hours (6 workers, 40 hours) each week. Formulate and solve this problem using the simplexmethod.

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CLASS OF CONTAINER PACKING MATERIALPACKING TIME (LB) (HOURS) 4 240 hours Total amount of resource available each week 120 lb