Minimise subject to

MATHEMATICS · Subjective · CBSE · Mathematics · Linear Programming · Linear Programming

Problem

Minimise

Z = 4x + 3y

subject to

x + y \ge 5,\; x + 2y \ge 8,\; x \ge 0,\; y \ge 0

. Write the minimum value of

Z

and the point at which it occurs, or state that no finite minimum exists.