Items |
Automatic Machine(mins) |
Hand operated Machine (mins) |
Profit (Rs.) |
Screws of Type A(x) |
4 |
6 |
7 |
Screws of Type B(y) |
6 |
3 |
10 |
Atmost availability of both machines |
240 |
240 |
|
∴ Maximise Z = 7x + 10y subject to constraints
4x + 6y ≤ 240
or 2x + 3y ≤ 120 …… (1)
and 6x + 3y ≤ 240
or 2x + y ≤ 80 …… (2)
and x, y ≥ 0
Converting inequalities to equalities
2x + 3y = 120
Maximum profit is Rs.410 which occurs at point B (30, 20)
∴ Manufacturer should manufacture 30 packages of screws A and 20 packages of screws B.