Draw the diagram of the solution of `5x + y ge 5, x + 3y ge 6, x ge 0, y ge 0`.

Draw the diagram of the solution set of 3x + 4y le 24, -3x + 2y le 6, x ge 0, y ge 0 .

Draw the diagram of the solution set of 4x + 3y le12, 7x + 3y le 21 x ge 0, y ge 0 .

Draw the graph of the inequation 3x- 5y +8 ge 0 .

Draw the diagram of the solution set of the linear constraints : x + y ge 1, 3x + y le 4, x, y, ge 0 .

Draw the diagram of the solution set of the linear constraints : 3x+4y ge 12,y ge 1,x ge 0 .

Draw the diagram of the solution set of the linear constraints : 2x+3y le 6,x+ 4y le 4,x ge 0,y ge 0 .

Solve the following linear programming problem graphically. Minimize the objective function Z = 2x + 3y subject to the constraints x + y le 120, x + y ge 80, x le 80, y ge 60, x ge 0, y ge 0 .

Maximize and minimize : Z = 15x + 30y subject to the constraints : x + y le 8, 2x + y ge 8, x - 2y ge 0, x, 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 .

Draw the graph of the inequalities 2x+3y ge 6