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Question
The feasible region for an LPP is shown in the figure. Let F = 3x – 4y be the objective function. Maximum value of F is ______.
Options
0
8
12
– 18
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Solution
The feasible region for an LPP is shown in the figure. Let F = 3x – 4y be the objective function. Maximum value of F is 12.
Explanation:
The feasible region is shown in the figure for which the objective function F = 3x – 4y
| Corner point | Value of F = 3x – 4y | |
| O(0, 0) | F = 0 | |
| A(12, 6) | F = 3(12) – 4(6) = 12 | ← Maximum |
| B(0, 4) | F = 0 – 4(4) = – 16 | ← Minimum |
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