MindTap Business Statistics for Ragsdale's Spreadsheet Modeling & Decision Analysis, 8th Edition, [Instant Access], 2 terms (12 months)
8th Edition
ISBN: 9781337274876
Author: Cliff Ragsdale
Publisher: Cengage Learning US
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Explain how balancing a Transportation Problem If Total Supply Is Less Than Total Demand in linear programming.
Please give your example
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 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?
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- Define Vehicle routing problem (VRP). Explain its complications and variants. Define four different real-life problems that can be formulated as VRP. Explain their properties based on VRP variations.arrow_forwardPlease help with this problem. Thanks.arrow_forwardPlease help me with part barrow_forward
- 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. Sources Distribution Center DC 1 DC 2 DC 3 DC 4 Capacity Plant A $145 $150 $165 $140 2000 Plant B $175 $135 $120 $165 1250 Plant C $113 $156 $134 $148 1250 Demand 1000 1200 1400 900 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.arrow_forwardTravelling Salesman Problem (TSP); Given the following distance matrix, use the nearest neighbor (NN) heuristic to find a route that starts from the warehouse (W), visits each customer only once, and finishes at the warehouse to minimize the distance traveled. What is the route and the corresponding distance? Distances W 1 2 3 4 in miles 18 57 27 50 18 0 65 29 61 57 65 0 36 99 3 27 29 36 0 76 4 50 61 99 76 Route=W-1-3-2-4, Distance=182 miles Route=W-3-1-2-4-W, Distance=270 miles Route = W-3-1-2-4, Distance=220 miles Route=W-1-3-2-4-W, Distance=232 miles Route=W-1-3-4-2, Distance=272 miles 1, 2.arrow_forwardWhich method is most suitable for solving Transportations problemarrow_forward
- Cars-to-Dealers Logistics Inc. is the exclusive logistics provider for the Summit Motor Co. and has responsibilityfor transporting cars from Summit’s 3 manufacturing plants in Toledo, OH; Charlotte, NC and Savannah, GA tothe 7 regional dealer locations as in the tables provided in your dataset. To do this, Cars-to-Dealers uses threetransshipment facilities and all cars in the distribution network pass through these transshipment facilities.Dataset also contains the information about the capacities of each of these transshipment facilities, the demandrequirement at each of the regional dealer locations and the unit cost to ship one car between the variouslocations.In addition to supply of cars (manufacturers) and demand for cars (dealers) there are two types of constraintsfor each transshipment facility:1. Balance flow constraints: dictate that all cars flowing into a transshipment facility should also flow out of thetransshipment facility – i.e. no inventory of cars should remain at…arrow_forwardThe more sources and destinations there are for a transportation problem, the smaller the percentage of all cells that will be used in the optimal solution. Explain.arrow_forwardeBook Problem 10-31 A long-distance telephone company uses a fiber-optic network to transmit phone calls and other information between locations. Calls are carried through cable lines and switching nodes. A portion of the company's transmission network is shown here. The numbers above each arc show the capacity in thousands of messages that can be transmitted over that branch of the network. To keep up with the volume of information transmitted between origin and destination points, use the network to determine the maximum number of messages that may be sent from a city located at node 1 to a oty located at node 7. 3 Maximum number of messages -arrow_forward
- Suppliers A, B, and C supply components to three plants -- F, G, and H via two transshipment facilities -- T1 and T2. It costs $4 to ship from T1 regardless of final destination and $3 to ship to T2 regardless of supplier. Shipping to T1 from A, B, and C costs $3, $4, and $5, respectively, and shipping from T2 to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. The Logistics Manager has come to you for help. Answer the following question: Which of these is not an element of the objective function? Group of answer choices 4D-T1 600T1 9T2-G 3C-T2 Plz do fast asaparrow_forwardGiven the following cost information, solve for the optimal transportation cost: Use MODI Method How much is the cost of the initial solution? How much is the cost of the second solution? At the initial solution, what is the value of R4? At the initial solution, what is the value of K4?arrow_forwardMount Isa Mines is one of the world’s great metal mines. Its main operations are at Mount Isa, in Queensland, Australia, where it mines adjacent deposits of copper and silver– lead–zinc ores. Production levels change with world demand and prices, but in a typical year 7 million tonnes of ore are mined to give 150,000 tonnes of copper and lead (containing silver) and 200,000 tonnes of zinc. Mount Isa has serious transport problems. It produces huge quantities of ore in a remote area of Australia, while the main demand for finished metals is in the industrialised areas of the world, particularly Europe. The problem is to process the ores and move them to final markets as cheaply as possible. You can see the scope of the problem from an outline of the journey for copper. This starts with underground explosions to break up the ore body. The broken ore is collected by front- end loaders and put onto ore trains that carry it to underground crushers. The crushed ore is then hoisted to the…arrow_forward
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