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

Solve the following linear programming problem graphically : Minimise Z= 6x+3y subject to the constraints {:(4x +y ge 80),(x+5y ge 115),(3x+2y le 150),(x ge0", " 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 .

Solve the following linear programming problem graphically Minimise Z = 3x + 2y subject to constraints x + y ge 8 , 3x + 5y le 15 , x ge 0 , y ge 0