Solve the following problem, using the Corner Point Method. Maximize profit = 30x1 + 40x2 Subject to 4x1 + 2x2 16 2x1 - x2 2 x2 2 x1, x2 0 a) Draw lines graphically and show the feasible region and corner points on your figure. (10 Points) b) Find the optimal value of decision variables and calculate profit at the optimal point. (10 Points) c) For the optimal solution, how much slack or surplus is there for each?