Problem 2 (30 points) Hillier Chapter 2, 2.22 (e-book page 87) Do not answer questions (a), (b), (c), (d), and (e) from the Custom e-book, and instead do the following: (a) Formulate algebraically the Linear Programming (LP) model for this problem. Define the decision variables, objective function, and constraints. (12 points) (b) Using the graphical method, solve the linear programming problem above. Make sure to graph the constraint lines and mark them clearly. Darken the feasible region. Use the objective function line method to determine the optimal solution(s). Provide all necessary details to justify your answers. Include managerial statements that communicate the results of the analysis (i.e. describe verbally the results). (18 points) 2.22. Ralph Edmund loves steaks and potatoes. Therefore, he has decided to go on a steady diet of only these two foods (plus some liquids and vitamin supplements) for all his meals. Ralph realizes that this isn't the healthiest diet, so he wants to make sure that he eats the right quantities of the two foods to satisfy some key nutritional requirements. He has obtained the follow- ing nutritional and cost information. Grams of Ingredient per Serving Daily Requirement Ingredient Steak Potatoes (grams) Carbohydrates Protein Fat 5 20 15 15 5 NU U > 50 > 40 2 360 Cost per serving $4 $2 Ralph wishes to determine the number of daily servings (may be fractional) of steak and potatoes that will meet these require- ments at a minimum cost. a