Corner points of the feasible region for an LPP are : (0, 4), (5, 0), (4, 3), (5, 7) and (0, 8). Let Z = 3x + 5y be the objective function. Then the value of (Max Z- MIn Z) is :

35

The correct answer is Option (4) → 35

Corner points of feasible region $(0, 4), (5, 0), (4, 3), (5, 7), (0, 8)$

Objective function = $3x+5y$

$Max.Z(5,7)=3×5+5×7=50$

$Min.Z(5,0)=3×5+5×0=15$

$|Max.Z-Min.Z|=35$