Question

Solve the following Linear Programming Problem graphically :
Maximise $Z = 12x + 18y$
subject to the constraints \[ x + y \le 1200, \quad x - 2y \ge 0, \quad x + 3y \ge 600, \quad x \ge 0, \, y \ge 0 \]

Hint:

When graphing constraints that pass through the origin like $x - 2y = 0$, you cannot use $(0,0)$ as a test region indicator. Choose an explicit test point resting purely on one axis line, such as $(100, 0)$, to instantly know which side to shade.

Answer 1