Question

(i) Choose the correct answer from the bracket. If an LPP is consistent, then its feasible region is always

(a) Bounded

(b) Unbounded

(c) Convex region

(d) Concave region

(ii) Maximize Z = 2x + 3y subject to the constraints x + y ≤ 4, x ≥ 0, y ≥ 0.

Answer 1

(i) (c) Convex region.

(ii) 

Corner points of the feasible region are as follows

Corner points	Z = 2x+3y
O(0,0)	0
A(0,4)	12→ maximum
B(4,0)	8

∴ the maximum value of Z is 12 attained at (0, 4).