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प्रश्न
Determine the maximum value of Z = 4x + 3y if the feasible region for an LPP is shown in figure
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उत्तर
The feasible region is bounded.
Therefore, maximum of Z must occur at the corner point of the feasible region (Figure)
| Corner Point | Value of Z | |
| O,(0, 0) | 4 (0) + 3 (0) = 0 | |
| A(25, 0) | 4 (25) + 3 (0) = 100 | |
| B(16, 16) | 4 (16) + 3 (16) = 112 | ← (Maximum) |
| C(0, 24) | 4 (0) + 3 (24) = 72 |
Hence, the maximum value of Z is 112.
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