The inequalities

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

Problem

The inequalities

2x+y\le 8

x\ge 0

and

y\ge 0

are graphed on the same axes. Which of the following sets gives all the vertices of the resulting feasible region? (a)

(0,0),\,(8,0),\,(0,4)

(b)

(0,0),\,(4,0),\,(0,8)

(c)

(4,0),\,(0,4),\,(4,4)

(d)

(0,0),\,(4,0),\,(0,4)