Corner points of the feasible region for an LPP are: (0, 1), (6, 0), (3, 4) and (0, 3). If the objective function is Z = 5x + 6y. The maximum value of Z occurs at

(3, 4)

The correct answer is Option (4) → (3, 4)

$Z = 5x + 6y$

$Z(0,1) = 6$

$Z(6,0) = 30$

$Z(3,4) = 15 + 24 = 39$

$Z(0,3) = 18$

$\text{Maximum value } = 39 \text{ at } (3,4)$

$\text{Maximum occurs at } (3,4)$