An initial solution to a transportation problem is given below. a. Use Northwest, MCM and VAM to determine the initial solution b. Use the stepping stone method to determine if the solution is optimal in VAM. c. Generate the optimal solution based on (b)
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- Canning Transport is to move goods from three factories to three distribution centers. Information about the move is given below. Supply 200 Source Destination Demand 50 A 125 125 в 100 Y 150 Shipping costs are: Source 3 9 Destination Y 2 A в 10 6. (Source B cannot ship to destination Z) A. According to the Northwest Corner method, the initial solution would have a total transportation cost of B. According to the Vogel's Approximation Method, the initial solution would have a total transportation cost of C. According to the minimum cell cost method, the initial solution would have a total transportation cost of D. According to the Northwest Corner method, the initial solution would give to cell CIII a loading of E. According to the Vogel's Approximation Method, the initial solution would give to cell Cll a loading of F. According to the minimum cell cost method, the initial solution would give to cell BI a loading ofA company has three existing warehouses to which it will ship furniture from a new factory whose location must be decided. The factory will receive raw materials from its wood supplier and fabric supplier. The annual number of shipments, shipment costs and the location of the suppliers and warehouses are shown below Existing facilities Annual L to or from fact cost Coordinate location Wood supplier 120 10 (100, 400) Fabric supplier 200 10 (800,700) Ware h 1 61 10 (300, 600) Ware h 2 40 10 (200, 100) Ware h 3 70 10 (600, 200) Using the median load answer the following questions –Where the factory should be located to minimize annual transportation cost –What will be the minimum annual transportation costThe following table presents cost, capacity, and demand data for a transportation problem in Stephanie Robbin’s furniture company. Set up the appropriate transportation table and find the optimal solution using Excel's solver. From/To 1 2 3 Supply A 30 10 5 20 B 10 10 10 30 C 20 10 25 75 Demand 40 60 55 a. Is the problem balanced? [ Select ] ["Yes", "it is balanced", "No", "cannot determine"] , If not, where? [ Select ] ["Neither", "Supply", "Demand"] , and by how much? [ Select ] ["0", "40", "30", "25"] b. What is the optimal cost? $ [ Select ] ["2,500", "1,100", "1,275", "1,300"] c. Were you able to meet all demand requirement? [ Select ] ["no", "cannot determine based on the information given", "yes"] If not, which destination (s) was/were not met? [ Select ] ["none, all destinations were met based on supply and demand being equal", "destination 3 by 30 units", "destination 2 by 30 units", "destination 1 by 25 units…
- Q4. Solve the following transportation problem using the following table. Obtain an Initial BFS to the following Transportation problem using NORTH WEST CORNER RULE method? D1 D2 D3 D4 SUPPLY 01 1 7 4 300 02 2 400 03 8 3 3 2 500 DEMAND 250 350 400 200 1200 54. Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E 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. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. Set up the solution in Excel and solve with Solver. What are total costs?TRANSPORTATION Given the following transportation matrix where the numbers in the cells represent cost of transporting 1 unit from a specific source to a specific destination, determine the initial solution using the 3 methods and determine the optimum solution by using the initial solution with the lowest value of Z. From/To 1 2 3 3 4 40 60 0 5 6 Dummy 35 M M 0 45 M M 12 20 M 4 15 0 10 30 5 M M 0 15 Demand 300 300 300 150 0 0 0 0 150 Supply 100 200 300 300 300 1,200
- 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?TRANSPORTATION . Given the following transport. tion matrix where the numbers in the cells represent cost of transporting 1 unit from a specific source to a specific destination, determine the initial solution using the 3 methods and determine the optimum solution by using the initial solution with the lowest value of Z. 3 4 40 35| M M 20 30 From/To 5 6 Dummy | Supply 1 M 100 60 45 M 200 3 12 M 300 4 15 10 300 5 M M 15 300 Demand 300 300 300 | 150 150 1,2002- Two plants supply three customers with medical supplies. The unit costs of shipping from the plants to the customers, along with the supplies and demands, are given in the table below. To From Customer 1 Customer 2 Customer 3 Supply Plant 1 $55 $65 $80 35 Plant 2 $10 $15 $25 50 Demand 10 10 10 The company's goal is to minimize the cost of meeting customers' demands. Find a bfs for this transportation problem by Minimum-cost method and determine the objective value. a) 1000 b) • 2000 1500 d) 500 Boş bırak
- A national truck rental services has a surplus of one truck in each of the cities, 1, 2, 3, 4, 5, and 6 and a deficit of one truck in each of the cities 7,8,9,10,11 and 12.The distance (in kilometers) between the cities with a surplus and cities with deficit are displayed below:a) b) How should the trucks be displayed so as to maximize the total distance travelled? 1 2 3 4 5 6 7 41 72 39 52 25 51 8 22 29 49 65 81 50 9 27 39 60 51 32 32 10 45 50 48 52 37 43 11 82 40 40 60 51 30Qn1. Find the optimal solution to the transportation problem using MODI method. Warehouses Supply WI W2 W3 W4 P1 19 30 50 12 Plants 5. 2. P2 70 30 40 60 P3 40 10 60 20 3. 15 Demand 4)Consider the shipping schedule for a transportation problem given below: of tion D; D2 D, Supply D, S, 8. 4 2 600 S, 9. S2 500 8 7 S3 700 Demand 500 800 500 Obtain the feasible solution and calculate the Total Cost (TC) by using the NORTH- WEST method. a. b. Test the optimality of the north-west solution resulted from the above solution the web and Windows 4, 3,