Consider the transportation problem having the following data: E. Destination: Source 1 2 3 Demand 1 32 2 4 3 Unit Cost (S) 2 7 4 3 3 3 638 8 2 4 2 5 2 Supply 523 3 a. Draw the network representation of this problem. b. Display the problem on a spreadsheet and then use the Excel Solver to obtain an optimal solution.
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- Consider the transportation table below. REQUIRED:(a) Use the Northwest-Corner Method, the Least-Cost Method and the VAM to get the starting feasible solution.(b) Find the optimal solution by considering the smallest value of the objective function computed in (a).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…Define the decision variablesand Write a linear programming model for this problem. B. Use the Northwest-Corner Method, the Least-Cost Method and the VAM to getthe starting feasible solution.ThenFind the optimal solution using the transportation algorithm discussed in class by considering the least optimal of the objective function computed. 3.C.Formulate a network model to illustrate the optimal solution.
- a. set up the transportation tableau for this problem, determine the initial solution using VAM and compute total cost b. solve using MODI c. are there multiple optimal solition? explain, if there are alternative solution, identify them d. formulate this problem as a linear programming modelDraw 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 ≥ 0Consider the transportation table below. REQUIREDa. Define the decision variablesb. Write a linear programming model for this problem.c. Use the Northwest-Corner Method, the Least-Cost Method and the VAM to getthe starting feasible solution.d. Find the optimal solution using the transportation algorithm discussed in class by considering the least optimal of the objective function computed in (c).e. Formulate a network model to illustrate the optimal solution
- Oranges are grown, picked and then stored in warehouses in Tampa, Miami, and Fresno. Theses warehouses supply oranges to markets in New York, Philadelphia, Chicago, and Boston. The following table shows the shipping costs per truckload (in hundreds of dollars), supply, and Because of an agreement between distributors, shipments are prohibited from Miami to Chicago: Draw a network of this problem. Formulate a linear program for this problem.Consider the transportation problem having the following data: c) write the algebraic formulation of this problem.Given the following transportation matrix where the numbers in the cells represent cost of transporting 1unit from a specific source to a specific destination, determine the initial solution using the 3 methods anddetermine the optimum solution by using the initial solution with the lowest value of Z.
- ASAP PLEASE.. The distribution of goods from the source (factory) to the target (warehouse) will cause problems regarding TRANSPORT, namely how the goods are sent from the factory to the warehouse which produces minimum costs. If it is known that - the capacity of 3 factories is 40000, 30000 and 20000, - the need for 3 warehouses is 20000, 50000 and 30000 respectively. The cost of shipping goods from the factory to the warehouse is shown in the following table Solve the above TRANSPORTATION problems with VAM and MODIA beer distributor needs to plan how to make deliveries from its warehouse (node 1) to a supermarket (node 7), as shown in the network below. A graph with 7 nodes and 9 arcs is shown. Node 1 is connected to node 2 by arc of value 3, to node 5 by arc of value 3, and to node 6 by arc of value 11. Node 2 is connected to node 3 by arc of value 4. Node 3 is connected to node 2 by arc of value 4 and to node 4 by arc of value 7. Node 4 is connected to node 3 by arc of value 7, to node 6 by arc of value 5, and to node 7 by arc of value 6. Node 5 is connected to node 6 by arc of value 7. Node 6 is connected to node 4 by arc of value 5, to node 5 by arc of value 7, and to node 7 by arc of value 3. Develop the LP formulation for finding the shortest route from the warehouse to the supermarket. (Let xij represent the flow from node i to node j.) Min s.t.Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows Node 6 Flows Node 7…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 1 0 0 1 0…