please explain and show all work also cant be written my be typed to understand

5. A linear programming model is given as follows: Maximize Z-6.5x1 +10x2 Subject to 2x1 +4x2 540 x1 + x2 512 X1 28 112201 (Accept both geometric method or excel solver) (a) Define the feasible solution area and obtain the optimal solution graphically (b) Write the model in the standard form using slack or surplus variables for all the constraints (c) Compute the values of the slack/surplus variables at the solution in (a) (d) if the third constraint, x1 28, is changed to x1 58, what effect will be