1 0 0 Step 2 Corner 0 3 0 0 1 Step 1 We want to find the maximum and minimum values of the objective function C 6x 8y given the feasible region determined by the constraint inequalities We know that the optimal values of the objective function will occur at a corner a corner of the feasible region Thus we need to test the coordinates of the corner points in our objective function 7 0 42 6 2 52 C 6x 8y 0 52 4 4 56 4 4 56 3 5 7 0 42 52 6 2 56 7 0 0 3 24 24 The maximum value of the objective function is which occurs at x y