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
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (3, 4)
$Z = 5x + 6y$
$Z(0,1) = 6$
$Z(6,0) = 30$
$Z(3,4) = 15 + 24 = 39$
$Z(0,3) = 18$
$\text{Maximum value } = 39 \text{ at } (3,4)$
$\text{Maximum occurs at } (3,4)$