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प्रश्न
The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 20) and (60, 0). If the objective function of an LPP is Z = 4x + 3y, then the maximum value is ______.
पर्याय
200
300
240
120
MCQ
व्याकरण
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उत्तर
The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 20) and (60, 0). If the objective function of an LPP is Z = 4x + 3y, then the maximum value is 300.
Explanation:
Substitute each given corner point (x, y) into the objective function Z = 4x + 3y:
| Corner Point (x, y) |
Value of Z = 4x + 3y | Result |
| (0, 0) | 4(0) + 3(0) | 0 |
| (0, 40) | 4(0) + 3(40) | 120 |
| (20, 40) | 4(20) + 3(40) = 80 + 120 | 200 |
| (60, 20) | 4(60) + 3(20) = 240 + 60 | 300 |
| (60, 0) | 4(60) + 3(0) | 240 |
Therefore, the maximum value is 300.
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