Graphically Minimize `Z = 7x + 4y` subject to the constraints `5x + 2y ge 100, 3x + 5y ge 150, 9x + 5y le 360, x ge 0, y ge 0` .

Graphically Minimize Z = 4x + 3y subject to the constraints 3 x + y ge 90, x + 5y ge 100, 8x + 5y le 400, x ge 0, y ge 0 .

Graphically Minimize Z = 6x + 3y subject to the constraints 4x + y ge 80, x .+ 5y ge 115, 3x + 2y le 150, x ge 0, y ge 0

Graphically maximize Z = 6x + 9y subject to the constraints 2x - y ge 0, 2x + y ge 8, x + 11 y le 80, x ge 0, y ge 0 .

Maximize and minimize Z = x + 2y subject to the constraints x + 2y ge 100, 2x - y le 0, 2x + y le 200, x, y ge 0 .

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 .