1st, the four constraints are plotted: 500 x + 2y = 200 or (200, 100) 3x + y = 500 or (167, 500) 15x + y = 250 or (16.7, 250) 250 0 10x + y = 500 or (50, 500) 100 200 Next, an area of the graph in which every point satisfies all four constraints specifically identified as the feasible region can now be identified. The four corners (boundaries) of the feasible region are (0,0), (50,0), (10.3,94.8) and (0,100) - further identified with purple arrows. Next, the isoprofit line(orange line) is created by selecting a random number and placing it as the max profit(for testing purposes) in the objective function or 1,200 = 100x + 12.50y or (0,96) and (12,0) the corresponding plotted line falls within the feasible region establishing the isoprofit line. Last, by moving the isoprofit line upward (increasing value) and maintaining identical slope until reaching the furthest corner of the feasible region the optimal solution (10.3, 94.8) is identified thus, giving the most effective use of ingredients to achieve the maximum profit or 10.3 cases of brand X and 94.8 cases of brand Y the output levels identified in sections C1 and C2. 0