Q. 29

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Answer :

Let the factory manufactures x screws of type A and y screws of type B on each day.

x≥0, y≥0

Given that:

The constraints are

4x + 6y ≤ 240

6x + 3y ≤ 240

Total profit: Z = 0.70x + y

Subject to,

2x + 3y ≤ 120

2x + y ≤ 120

x≥0, y≥0.

Now, plotting the equations 2x + 3y ≤ 120 and 2x + y ≤ 120 we get,

the common feasible region is OCBAO.

The maximum value of ‘Z’ is 41 at (30,20). Thus the factory showed produce 30 packages at screw A and 20 packages of screw B to get the maximum profit of Rs.41.

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