For the system of inequalities , , ,

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

Problem

For the system of inequalities

x + y \le 4

x + ky \ge 6

x \ge 0

y \ge 0

, determine the set of values of

k

for which the feasible region is non–empty. (a)

k \le \dfrac{3}{2}

(b)

k \ge \dfrac{3}{2}

(c)

0<k<\dfrac{3}{2}

(d)

k \ge 1