(iii) Find the initial basic feasible solution for the following transportation problem using VAM. Explain each step. Destination D1 D2 D3 D4 Supply 01 11 13 17 14 250 Origin 02 16 18 14 10 300 13 10 O3 Demand | 200 225 275 250 21 24 400
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- The 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 dounvoteExplain how to determine the number of variables and constraints that would be in a transportation problem simplyby knowing the number of sources and the number of destinations.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 25
- 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 200 225 275 250.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 BalancedSuppose 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?
- 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?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?PLEASE SHOW ALL FORMULA PharmaCo wants to determine how to deploy sales representatives across its Western U.S. region to support a new drug for obesity. Sales representatives will be located in a "home city", which they serve, in addition to cities with feasible commuting distance, with the objective that all cities must be served by at least one sales representative. The feasible connections between each city in the region are listed below (1 indicates a feasible connection, potential home cities are shown in columns, and cities served in rows): Potential Rep Home City Served? Albuquerque El Paso Denver Phoenix San Diego Los Angeles San Francisco Portland Seattle Las Vegas Salt Lake City Albuquerque 1 1 1 1 0 0 0 0 0 0 0 El Paso 1 1 0 1 0 0 0 0 0 0 0 Denver 1 0 1 1 0 0 0 0 0 0 1 Phoenix 1 1 1 1 1 1 0 0 0 1 1 San Diego 0 0 0 1 1 1…
- Draw the network for this transportation problem. (Let xij represent the flow from node i to node j.) Min 2x13 + 4x14 + 6x15 + 8x23 + 11x24 + 9x25 s.t. x13 + x14 + x15 ≤ 500 x23 + x24 + x25 ≤ 400 x13 + x23 = 300 x14 + x24 = 300 x15 + x25 = 300 xij ≥ 0Explain how balancing a Transportation Problem If Total Supply Is Less Than Total Demand in linear programming. Please give your exampleThe 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.