Maximise subject to

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

Problem

Maximise

Z = 5x + 4y

subject to

x + y \ge 4,\; x + 2y \ge 6,\; x \ge 0,\; y \ge 0

. State whether a finite maximum value of

Z

exists. If it does, write the maximum value; if it does not, state “No finite maximum”.