Let the factory manufactures x screws of type A and y screws of type B on each day.
∴ x≥0, y≥0
The constraints are
4x + 6y ≤ 240
6x + 3y ≤ 240
Total profit: Z = 0.70x + y
2x + 3y ≤ 120
2x + y ≤ 120
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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