Find the basic initial solution to the following transportation problem using the northwest corner method, the least expensive method, and the Vogel method
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- 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?Suppose 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….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 Balanced
- Explain how balancing a Transportation Problem If Total Supply Is Less Than Total Demand in linear programming. Please give your exampleThe 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 dounvoteConsider 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?
- Find an initial basic feasible solution for a given transportation problem by using Vogel's approximation method D1 D2 D3 D4 Supply S1 11 13 17 14 250 S2 16 18 14 10 300 S3 21 24 13 10 400 Demand 200 225 275 250given 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?Using auction award optimization problem ,create and solve a small numerical example by considering atleast 3 supplier and each supplier supplying at least 2 items
- 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.Given 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?In the original RedBrand problem, suppose the plantscannot ship to each other and the customers cannotship to each other. Modify the model appropriatelyand reoptimize. How much does the total cost increasebecause of these disallowed routes?