A firm manufactures two types of products, and , and sells them at a profit of on type and B. Each product is processed on two machines, and . Type A requires one minute of processing time on and two minutes on Type requires one minute on and one minute on is available for not more than 6 hours 40 minutes while is available for at most 10 hours a day. Find how many products of each type the firm should produce each day in order to get maximum profit.

contexto.140

3 years ago

Let the firm manufacture number of Aand y number of products.
According to the question,

Maximize
The feasible region determined by is given by

The corner points of feasible region are The value of at corner point is

The maximum value of is 800 and occurs at two points. Hence the line is a feasible solution. The firm should produce 200 number of Aproducts and 200 number of B products.