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Question
Feasible region (shaded) for a LPP is shown in Figure. Maximise Z = 5x + 7y.
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Solution
OABC is the feasible region whose corner points are O(0, 0), A(7, 0), B(3, 4) and C(0, 2)
Evaluating the value of Z, we get
| Corner points | Value of Z | |
| O(0, 0) | Z = 5(0) + 7(0) = 0 | |
| A(7, 0) | Z = 5(7) + 7(0) = 35 | |
| B(3, 4) | Z = 5(3) + 7(4) = 43 | ← Maximum |
| C(0, 2) | Z = 5(0) + 7(2) = 14 |
Hence, the maximum value of Z is 43 at (3, 4).
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