Solve graphically (Linear programming problem) Maximize `Z = 10x + 12y` subject to constraints: `2x + 3y le 30, 3x + y le 17, x ge 0, y ge 0`.

Solve graphically Linear programming problem Maximize Z = 5x + 3y subject to constraints, 3x + 5y le 15, 5x + 2y le 10, x ge 0, y ge 0 .

Maximize Z = 7x + 4y subject to the constraints : 2x + y le 10, x + 2y le 12, x ge 0, y ge 0 using graph.

Maximize Z = 22x + 44y subject to the constraints x + y ge 3, 3x + 8y le 24, x - y ge 0, x, y ge 0 .

Maximize Z = 3x + 4y subject to the constraints : x + 2y le 8, 3x + 2y le 12, x ge 0, y ge 0 using graph.

Maximize Z = 5x + 3y subject to the constraints : 2x + y le 8, x + 2y le 1 2, x ge 0, y ge 0 using graph.

Solve the following linear programming problem graphically : Minimize Z = 3x + 5y subject to constraints x + 3y le 3, x + y le 2, x ge 0, y ge 0 .