Enabled: Chapter 7 Using Binary Integer Progr... Saved Help A firm has prepared the following binary integer program to evaluate a number of potential locations for new warehouses. The firm's goal is to maximize the net present value of their decision while not spending more than their currently available capital. Max 30x1 + 35x2 +15x3+ 20x4 s.t. 12x1 + 8x2 + 5x3 +11x4 s 20 (Constraint 1} x1+ x2 + x3 + x4 2 2 {Constraint 2) x1+ x2 1 {Constraint 3) x1 + x3 2 1{Constraint 4) x2 = x4 {Constraint 5} 1, if location jis selected 0, otherwise Ij = Solve this problem to optimality and answer the following questions: a. Which of the warehouse locations will/will not be selected?

A renowned chocolatier, Francesco Schroeder, makes three kinds of chocolate confectionery: artisanal truffles, handcrafted chocolate nuggets, and premium gourmet chocolate bars. He uses the highest quality of cacao butter, dairy cream, and honey as the main Ingredients. Francesco makes his chocolates each morning, and they are usually sold out by the early afternoon. For a pound of artisanal truffles, Francesco uses 1 cup of cacao butter, 1 cup of honey, and 1/2 cup of cream. The handcrafted nuggets are milk chocolate and take 1/2 cup of cacao, 2/3 cup of honey, and 2/3 cup of cream for each pound. Each pound of the chocolate bars uses 1 cup of cacao butter, 1/2 cup of honey, and 1/2 cup of cream. One pound of truffles, nuggets, and chocolate bars can be purchased for $35, $25, and $20, respectively. A local store places a daily order of 10 pounds of chocolate nuggets, which means that Francesco needs to make at least 10 pounds of the chocolate nuggets each day. Before sunrise each…

allons of deionized water from each wholesaler to each distribution center is shown in the following table: Question Viewer a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? B. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center is needed. C. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. b. What is the total cost of the solution? The optimal cost is $ ((Enter your response rounded to the nearest dollar.)

Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40   a) Generate the Sensitivity Report in EXCEL for the model that you built. Interpret, in context, the Shadow Price for the Leather and the Satin constraints.  Include units in your interpretations.

20. Suppose that one wishes to schedule vehicles from a central depot to five customer locations. The cost of making trips between each pair of locations is given in the following matrix. (Assume that the depot is location 0.) Cost Matrix (c) то 1 2 3 4 5 75 33 10 30 15 42 F 1 35 20 R 2 18 58 3 40 20 M 4 25 Assume that these costs correspond to distances between locations and that each vehicle is constrained to travel no more than 50 miles on each route. Find the routing suggested by the savings method. 20

example 1a 1.plot all the corner points for the feasible area. 2. Find the optimum solution to  X= Y= VALUE Z=