The blood bank wants to determine the least expensive way to transport available blood donations from Pittsburgh and Staunton to hospitals in Charleston, Roanoke, Richmond, Norfolk, and Suffolk.The supply and demand for donated blood is shown in the figure below along with the unit cost of shipping along each possible arc. The goal is to meet the expected demand at the lowest possiblecost. (Let X;; represent the number of units that flow from node i to node j.)Pittsburgh-1,3001Staunton-1,200 2LOCharleston35Roanoke30037 7200LORichmond5(X13X14 X231 X24¹ X34¹ X35¹ X36¹ X43¹ X46¹ X47, X56, X67) =6=Norfolk800(a) Create a spreadsheet model for this problem. What is the optimal solution?5637002Suffolk7400(b) Suppose that no more than 1,000 units of blood can be transported over any one arc. What is the optimal solution to this revised problem?(X13, X14¹ X23¹ X241 X341 X351 X361 X431 X46¹ X47, X56, X67)

The supply node of Pittsburgh is producing 1300 units and that of Staunton is producing 1200 units.…

Answered: The blood bank wants to determine the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Answer correctly on excel and show workings
The following network describes a transportation scenario in which there are four sources A, B, C, and D, and three destinations P, Q, and R. (The numbers next to each arrow represent the cost of transporting one unit from that particular source to the destination located at the other end of that arrow). Write the mathematical formulation of the problem. Use the Excel Solver to solve the problem. Generate the answer and sensitivity reports in Excel, and submit your Excel workbook as a separate attachment. Provide the solution obtained in the space provided. What is the optimal cost of transportation?
Please refer to the attached file:
Explain along with examples related to Freight Traffic Assignment Problems and vehicle routing problem in the logistics activities of manufacturing and service companies! Solve the following case study using the transportation method: Suppose there is a manufacturing company that produces and distributes its products to various customer locations across the country. This company has three production plants (Plant A, Plant B, and Plant C) located in different locations, and there are also five distribution centers (DC 1, DC 2, DC 3, DC 4, and DC 5) scattered across various regions. The company's goal is to determine the most efficient transportation routes for delivering products from the plants to the distribution centers, considering transportation costs and available capacities.
The Winston Company has four distribution centers (A, B, C, and D) that require 40,000, 60,000, 30,000, and 50,000 gallons of de-ionized water, respectively, per month for cleaning their long-haul trucks. Three de-ionized water wholesalers (1, 2, and 3) indicated their willingness to supply as many as 50,000, 70,000, and 60,000 gallons, respectively. The total cost (shipping plus price) of delivering 1,000 gallons of de-ionized water from each wholesaler to each distribution center is shown in the following table: Distribution Center Wholesaler A B 1 $1.70 $1.90 $1.60 $1.70 2 $1.40 $1.90 $1.60 $1.70 3 $1.60 $1.50 $1.80 $1.40 a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? O A. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center needed, O B. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. C. The sum of supply capacities…
The Winston Company has four distribution centers (A, B, C, and D) that require 40,000, 60,000, 30,000, and 50,000 gallons of de-ionized water, respectively, per month for cleaning their long-haul trucks. Three de-ionized water wholesalers (1, 2, and 3) indicated their willingness to supply as many as 50,000, 70,000, and 60,000 gallons, respectively. The total cost (shipping plus price) of delivering 1,000 gallons of de-ionized water from each wholesaler to each distribution center is shown in the following table: Distribution Center Wholesaler A B D $1.90 $1.90 $1.70 $1.60 $1.70 2 $1.40 $1.60 $1.70 3 $1.60 $1.50 $1.80 $1.40 a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? O A. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center is needed. O B. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. O C. The sum of supply capacities…

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