If $z=5x+8y$ is the objective function of a LPP and (0, 0), (3, 1), (2, 4), (0, 3), (5, 0) are corner points of the bounded feasible region, then the maximum value of the objective function is

42

The correct answer is Option (2) → 42

Objective: $z=5x+8y$

Corner points and values:

$(0,0)\!: z=0$

$(3,1)\!: z=15+8=23$

$(2,4)\!: z=10+32=42$

$(0,3)\!: z=24$

$(5,0)\!: z=25$

Maximum value = 42 (at $(2,4)$)