Question

A company makes two types of leather belts A and B. Belt A is of high quality and belt of lower quality. The respective profits are Rs. 0.4 and rs. 0.3 per belt. Each belt of type A requires twice as much time as a belt of type B, and if all belts were of type B the company could make 1000 per day. The supply of leather is sufficient for only 800 belts per day. Belt A requires a fancy buckle and only 400 per day available. There are only 700 buckles a day available for belt B. set up LPP and find its solution by graphical method.

Answer 1

Thank you for asking this question. Here is your answer:

Let x1 be the number of belts being produced

Let x2 be the number of Belt B being produced.

We need to maximize the profit in this question, so:

Maximize Z = .40x1 + .30x2

Subject to constraints:

2x1 + x2 ≤ 1000 (total time)

x1 + x2 ≤ 800 (total leather)

x1 ≤ 400 (these are the buckles for belt A)

x2 ≤ 700 (these are the buckles for belt B)

x1, x2 ≥

if there is any confusion pleae leave a comment below.