Maximise subject to

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

Problem

Maximise

Z = 4x + y

subject to

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

. Which one of the following statements about this problem is correct? (a) It has a finite maximum value equal to

24

attained at

(6,0)

. (b) It has no finite maximum value but possesses a finite minimum value. (c) It has a finite maximum value equal to

\dfrac{44}{3}

attained at

\left(\dfrac{10}{3},\dfrac{4}{3}\right)

. (d) It has neither a finite maximum nor a finite minimum value.