Question

Solve the following LPP graphically Maximum Z = 9x + 10v Subject to constraints x + 2y <= 6 ; x + y <= 5; x >= 3 and x.y>=0

Answer 1

x +2y \(\leq\) 6

x + y \(\leq\) 5

x \(\geq\) 3

x \(\geq\) 0, y \(\geq\) 0

Hence, corner points of feasible region are (3, 0), (5, 0) (4, 1) and (3, 3/2)

Corner points	Objective function  z = 9x + 10y
(3, 0)	27
(5, 0)	45
(4, 1)	46(maximum)
(3, 3/2)	42

∴ maximum value of z is 46 occurs at (4, 1)