Question

A company manufactures two products X and Y which require, the following resources. The resources are capacities machine M1, M2, and M3. The available capacities are 50, 25, and 15 hours respectively in the planning period. Product X requires 1 hour of machine M2 and 1 hour of machine M3. Product Y requires 2 hours of machine M1, 2 hours of machine M2, and 1 hour of machine M3. The profit contribution of products X and Y are Rs. 5 and Rs. 4 respectively. Formulate a linear programming problem and sole graphically.

Answer 1

Answer:

The contents of the statement of the problem can be summarized as follows:

Machines Products Availability in hours X Y M

1

0250

M

2

1225

M

3

1115Profit in Rs. Per unit54In the above problem, Products

X

and

Y

are competing candidates or variables.Machine capacities are available resources. Profit contribution of products

X

and

Y

are given. Now let us formulate the model.Let the company manufactures

x

units of

X

and y units of

Y

. As the profit contributions of

X

and

Y