The constraints are

MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Programming · Linear Programming

Problem

The constraints are (i)

x \ge 0

, (ii)

y \ge 0

, (iii)

x + y \le 8

, (iv)

x - y \ge 2

. (a) Find the point of intersection of the lines

x + y = 8

and

x - y = 2

. (b) State whether this point lies inside the feasible region and therefore qualifies as a vertex. Give a brief reason.