5-2. Graphically solve the following problem. You need not show the graph. However, you would need to draw one to solve the problem correctly. For Part (a), solve the problem mathematically to identify the intersection points. Maximize profit = 8 x1 + 5x2 Subject to: X1 + 2X2 0 (a). What is the optimal solution based on the graph? Identify all the comer points and the corresponding profit values. Compare that with the solution you get using the software. (Use QM for Windows or ExcelQM to answer b to e). (b). Change the right-hand side of constraint 1 to 17 (instead of 16) and resolve the problem. How much did the proht increase or decrease by as a result of this? What is the new solution? (c). Change the right hand side of constraint 1 to 13 (instead of 16) and resolve the problem. How much did the profit decrease or increase by as a result? What would happen if the right-hand-side value were to go below 10? (d). Change the right-hand side of constraint 2 to 22 (instead of 20) and resolve the problem. How much did the profit decrease from the original amount as a result of this? Identify the new solution (e). What happens to the optimal solution if profits from X1 are reduced to $6? (6). Examine the following output from QM. What is the dual price of constraint 1? What is the lower bound on this? Linear Programming Results Part (0) X1 X2 RHS Dual 8 5 5 Maximize Const 1 1 2 16 0.67