4. The origins at 2 plants at Cagayan de Oro and Davao with capacities of 500 and 700 units, while thedestinations are 3 distribution centers with demands of 400, 500 and 300 respectively. The costsof transporting a unit of the product from origins to destinations are shown below:ORIGINDISTRIBUTION CENTERSDC1DC2DC3Cagayan de Oro64Davao6.3REQUIRED: Draw the network model and create the linear programming of thistransportation problem.

Answered: Image /qna-images/answer/62acc8b3-d133-4f3f-8a97-c5674bc1d989.jpg

Answered: 4. The origins at 2 plants at Cagayan…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A logistics company plans to provide coal logistics transportation services to HY coal sales enterprise. HY coal sales enterprise has coal storage and sales points in B and D, with available coal quantities of 1600t and 8000t, respectively; A and C represents the locations of two coal users, with a demand of 8000t and 1600t respectively. The distribution of relevant locations and travel distances are shown in Figure 1. Based on the above conditions, try to calculate and explain from the perspective of transportation capacity consumption: How should logistics company HY plan transportation routes in order to make them more reasonable? (a transportation route planning scheme needs to be illustrated) . Note:The solution should not be hand written.
Expedition companies headquartered in Bintaro want to developed its business in Medan, Balikpapan and Menado and will place 3 branch heads (Aria, Yuda and Roni) from several branch offices owned by the company in Central Java to set-up offices and run operations in 3 locations. Below is the cost to allocate the 3 branch heads to each location: branch head/ branch office Medan(3 Rp. 10.000) Balikpapan(3 Rp. 10.000) Manado (3 Rp. 10.000) ARIA 800 1100 1200 YUDA 500 1300 1300 RONI 500 1000 2300 a. Create a table using the assignment method.b. Based on the results of your calculations, what advice can you give to the most optimum company leaders of location placement of each branch head above? Explain why?c. What is the total optimum cost that must be incurred by the company to allocate to all branch offices of the company?
Obtain the initial basic feasible solution to the following transportation problem using north- west corner rule D1 D2 D3 D4 SUPPLY O1 6 4 1 5 14 O2 8 9 2 7 16 O3 4 3 6 2 5 DEMAND 6 10 15 4 Where O1, O2, O3, O4 are the origins and D1, D2, D3, D4 are requirements respectively. Obtain the minimum cost and comment upon the concept of transportation problem and its significance in detail.
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…
SOLVE THE FOLLOWING PROBLEM OF TRANSPORTATION.Fertimex manufactures fertilizer for general application in 3 different plants located in Acayucan, Ver., Celaya, Gto. andSaltillo, Coah. and sends the final product to 4 different warehouses, 1,2,3 and 4. Since some manufacturing operationshave been around longer than others, there are different production costs at different plants. (TheNewer plants use more modern and up-to-date processes that result in lower costs of ownership.production). The table shows the production costs in pesos per ton and the capacity ofproduction in tons of each plant: Table 1 The requirements in tons of warehouses 1, 2, 3 and 4 are 300, 450, 500 and 600, respectively. Due toSince each warehouse operates separately, the sales prices per ton differ a little, being $62.00,$63.00, $64.00 and $64.00, respectively. How Fertimex managers want to maximize profitscompany totals; for this they must consider the transportation costs associated with the shipment of the…
Tommy Hilfiger is currently considering to source certain textile goods, Tommy Jeans, from Mexico. The estimated shipping time from Mexico to the U.S. for each shipment of Tommy Jeans is 4 days and the estimated freight cost of each shipment is $800. On the other hand, the current average shipping time from Vietnam to the U.S. for each shipment of Tommy Jeans is 23 days and the average freight cost is $2300. Even though the shipping time and freight cost seem to be much lower in case of Mexico, Tommy Hilfiger management is concerned about the production cost of each Jeans shipment. The management anticipates that the production cost of each Jeans shipment will be higher in Mexico compared to Vietnam. However, Tommy Hilfiger management has decided that even if the total cost (sum of production cost, freight cost, and holding cost) remain similar to Vietnam, Tommy Hilfiger will still source Jeans from Mexico because of the reduced shipping time, which, in turn, will result in better…
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…
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…
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…
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?
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 model
Cars-to-Dealers Logistics Inc. is the exclusive logistics provider for the Summit Motor Co. and has responsibilityfor transporting cars from Summit’s 3 manufacturing plants in Toledo, OH; Charlotte, NC and Savannah, GA tothe 7 regional dealer locations as in the tables provided in your dataset. To do this, Cars-to-Dealers uses threetransshipment facilities and all cars in the distribution network pass through these transshipment facilities.Dataset also contains the information about the capacities of each of these transshipment facilities, the demandrequirement at each of the regional dealer locations and the unit cost to ship one car between the variouslocations.In addition to supply of cars (manufacturers) and demand for cars (dealers) there are two types of constraintsfor each transshipment facility:1. Balance flow constraints: dictate that all cars flowing into a transshipment facility should also flow out of thetransshipment facility – i.e. no inventory of cars should remain at…

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