Minimise subject to , ,

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

Problem

Minimise

z=2x+3y

subject to

x\ge0

y\ge0

x+2y\ge8

, and

3x+y\ge12

. What is the minimum value of

z

? (a)

14

(b)

16

(c)

\dfrac{68}{5}

(d) No finite minimum exists