A firm manufactures two types of product, A and B, and sells them at a profit of per unit of type and per unit of type B. Each product is processed on two machines, and one unit of type A requires one minute of processing time on and two minutes of processing time on whereas one unit of type requires one minute of processing time on and one minute on Machines and are respectively available for at most 5 hours and 6 hours in a day. Find out how many units of each type of product the firm should produce a day in order to maximize the profit. Solve the problem graphically.

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 is given by

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

The maximum value of is 1020 and occurs at point .
The firm should produce 60 Aproducts and 240 B products to earn maximum profit of Rs.