Leach 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 $9; a class K container, a profit of $7; and a class T container, a profit of $15. Each shipment prepared requires a certain amount of packing material and a certain amount of time. RESOURCES NEEDED PER STANDARD SHIPMENT
CLASS OF PACKING MATERIAL PACKING TIME
CONTAINER (POUNDS) (HOURS)
A 2 2
K 1 6
T 3 4
Total resource
available each week: 130 pounds 240 hours
Hugh Leach, 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 also decides that he must keep his 6 full-time packers employed all 240 hours (6 workers x 40 hours) each week. Formulate and solve this problem using Linear Programming software.