Consider the linear programming problem Maximise subject to

MATHEMATICS · Single correct · CBSE · Mathematics · Linear Programming · Linear Programming

Problem

Consider the linear programming problem Maximise

Z = kx + 3y

subject to

x + y \ge 6,\; x + 2y \le 8,\; x \ge 0,\; y \ge 0

. For which values of

k

is the optimal value of

Z

attained at the vertex

(4,2)

of the feasible region? (a)

k < 1.5

(b)

k = 1.5

(c)

k \le 1.5

(d)

1.5 \le k \le 3