Question-10 The number of corner points of the L.P.P. Max Z=20 x+3 y subject to the constraints x+y \leq 5,2 x+3 y \leq 12, x \geq 0, y \geq 0 are
A) 4
B) 3
C) 2
D) 1
Answer: A) 4
Explanation
(Max) Z 20x + 3y
Let
l1: x + y = 5
l2: 2x + 3y = 12
l3: x = 0
l4: y = 0
Feasible solutions for the given L. P. P. O (0, 0), A (5, O), B (3, 2) & C (0, 4)
Clearly, number of corner points are 4.