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A company makes two kinds of leather bel...

A company makes two kinds of leather belts, A and B. Belt A is high quality belt, and B is of lower quality. The respective profits are Rs. 40 and Rs. 30 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 belts per day. The supply of leather is sufficient for only 800 belts per day (both A and B combined). Belt A requires a fancy buckle, and only 400 buckles per day are available. There are only 700 buckles available for belt B. What should be the daily production of each type f belt? Formulate the problem as a LPP.

Text Solution

Verified by Experts

given that, total profit `= 40x+ 30y`
`z= 40x + 30y`
acc to question
`x/100 + y/ 1000 <= 1`
by solving we get `2x + y <= 1000` eqn (1)
`x+y <= 800` eqn(2)
the conditions are
`x<=400` eqn(3)
...
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