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- Consider the following transportation decision-making information: Plant Capacity Store Demand A 400 X 200 B 500 Y 250 C 100 Z 300 Total 1000 Total 750 Cost to ship from plant to store (per unit of demand) Plant Store X Y Z A $2 $2 $3.5 B $4 $5 $4.5 C $3 $3 $3 A. Develop the following shipping assignment table that uses the Solver function to find the optimal shipping patterns between the plants and the stores. Plant Store X Y Z A B C B. What is the minimal shipping cost?.Consider the following matrix for transportation problem: using VAM as IBFS and apply Modi method to find out the optimal solution. Market-1 Market-2 Market-3 SupplyCompany-1 5 4 6 65Company-2 7 4 7 42Company-3 8 6 7 43Demands 70 30 50 BalancedThe objective function of a transportation problem is to: A. maximize transportation cost B. maximize supply quantities C. minimize total shipping cost D. minimize total demand Don't answer by pen paper and don't use chatgpt otherwise we will give dounvote
- given the transportation problem, assume that the demands at the 4 destinations are 5, 5, 7, and 8 units, respectively, and the supplies at the 4 sources are 7, 3, 7 and 8 units, respectively.C₁₁=7ㅤ C₁₂=9ㅤ C₁₃ = 1ㅤ C₁₄ = 10 C₂₁= 22ㅤ C₂₂ = 25ㅤ C₂₃ = 16ㅤ C₂₄ = 26 С₃₁ = 28ㅤ C₃₂ = 32ㅤ C₃₃ = 24ㅤ Сз₄ = 32 C₄₁ = 12ㅤ C₄₂ = 14ㅤ C₄з = 6ㅤ C₄₄ = 16where m=4, n=4what is the optimal solution using vogel's approximation method, least-cost method, and northwest-corner rule?Suppose there is a transportation model with 4 factories and 6 warehouses. In order to develop an initial solution using the intuitive lowest cost method, do we have to add one or more dummy sources in the transportation matrix, and why?In each of the following, name the term defined. Answers are listed at the bottom. The main cost criterion employed when a transportation model is used for analyzing a logistics network. The Microsoft Excel function used to solve the transportationmodel. For the transportation model to be able to find a feasible solution, this must always be greater than or equal to total demand. The “changing cells” in a transportation model represent this. This is a method that locates facilities relative to an X, Y grid. A technique that is useful for screening potential locations for services.
- a.Find the starting solution of this transportation model by Least Cost Method. (Unit transportation costs are given in the table) Then find the optimal solution of this transportation model by Stepping Stone Method. D1 D2 D3 D4 Supply M1 16 24 14 11 25 M2 21 18 17 9 30 M3 15 13 21 14 40 Demand 25 25 20 25Suppose a company with a plant located in Toronto is serving a market in the northeastern United States with many customers located in Boston. If the company ships direct to customers from the Toronto plant, most shipments will be less than truckload. However, if it locates a distribution center in Boston, it can ship truckload (TL) to Boston and distribute bylocal cartage (LTL) to customers in that area. Whether this is economical or not depends on the total cost of shipping direct compared with shipping via the distribution center. Assume the following figures represent the average shipments to the Boston area:Option 1: Plant to customer LTL: $100/cwt. [uses direct dispatch from company to customers]Option 2: Through DCPlant to distribution center TL: $50/cwt.Inventory-carrying cost (distribution center): $10/cwt.Distribution center to customer LTL: $20/cwt.QuestionIs it more economical to establish the distribution center in Boston? If the annual shipped volume is 10,000 cwt., what…1. Transportation Problem: The Navy has 9,000 pounds of material in Albany, Georgia that it wishes to ship to three installations: San Diego, Norfolk, and Pensacola. They require 4,000, 2,500, and 2,500 pounds, respectively (Destination or Demand amounts). Government regulations require equal distribution of shipping among the three carriers (Supply nodes). Note: This means the supply is the same for each type of transportation. The shipping costs per pound for truck, railroad, and airplane transit are shown below. Formulate and solve a linear program to determine the shipping arrangements (mode, destination, and quantity) that will minimize the total shipping cost.DestinationMode San Diego Norfolk PensacolaTruck $12 $ 6 $ 5Railroad 20 11 9Airplane 30 26 28 2. Transshipment Problem The Northside and Southside facilities of Zeron Industries supply three…
- 2. Unbalanced. Provide the transportation model for the calculation of cost given the following data: Use the Stepping Stone Method to solve the following. Use degeneracy method or dummy method if necessary.Consider the following transportation problem: Destination company A B C Supply 1 5 1 7 10 2 6 4 6 80 3 3 2 5 15 Demand 75 20 50 Since there is not enough supply, some of the demands at these destinations may not be satisfied. Suppose these are penalty costs for every unsatisfied demand unit which are given by 5, 3, and 2 for destination A, B, and C respectively. 1. Determine how many units and from which source needs to be shipped using the following methods: A) NWCB) LCMC) VAM2. Find the minimum distribution costThe photocopying business is thriving in Dagupan City. Miss Josefina “ Fina” Datu is the owner and operator of the biggest copying firm in the city. Fina has been in the business for more than 20 years and because of her daring and enterprise, she was able to put up three branches in each of the capital towns of three adjoining provinces, namely Nueva Ecija, Tarlac, and Pangasinan. She is planning to operate in Nueva Vizcaya and Isabela shortly. This business involves using machines to copy documents, books magazines, and other materials. Fina employs six young ladies per branch. A big dealer in Manila supplies her with the latest copying machines, paper, and ink. Fina has an open credit line with the leader. Fina personally trains new employees in the firm’s main office in Dagupan. After a month of training, the new employees are deployed in the various branches. New employees are paid daily wages depending on the output. They are also entitled to free board and lodging.…