Feasible region (shaded) for a LPP is shown in Figure. Maximise $Z = 5x + 7y$.

43

The correct answer is Option (1) → 43

Given Maximise $Z = 5x + 7y$

As shown in the figure 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

Hence, the maximum value of Z is 43 at (3, 4).