Finding the optimal solution, slack variables, and objective function in linear programming using a graphical solution technique. Solution in JPG format.

Using the graphical solution technique, find the optimal solution, value of the objective function and values of the slack variables to this linear programming problem.


    Min      3x1 + 3x2

    s.t. 12x1 + 4x2  48
             10x1 + 5x2  50                4x1 + 8x2  32
             x1, x2  0