Consider the following network representation of a transportation problem:20JeffersonCityOmahaJefferson CityOmahaDemandOmahaJefferson CityIcon Key14Total Cost: $16103SuppliesDemandsThe supplies, demands, and transportation costs per unit are shown on the network. The optimal (cost minimizing) distribution plan is given below.DesMMoines02525KansasCity10515St.LouisDes Moines Kansas City St.Louis Supply10203002510Total Cost: $480.Find an alternative optimal solution for the above problem.If required, round your answer to nearest whole number and if your answer is zero enter "0".1510Des Moines Kansas City St.Louis

Find the Given details below: Transportation table From To Des Moines Kansas City St. Louis…

Answered: Consider the following network…

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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Travelling Salesman Problem (TSP); Given the following distance matrix, use the nearest neighbor (NN) heuristic to find a route that starts from the warehouse (W), visits each customer only once, and finishes at the warehouse to minimize the distance traveled. What is the route and the corresponding distance? Distances W 1 2 3 4 in miles 18 57 27 50 18 0 65 29 61 57 65 0 36 99 3 27 29 36 0 76 4 50 61 99 76 Route=W-1-3-2-4, Distance=182 miles Route=W-3-1-2-4-W, Distance=270 miles Route = W-3-1-2-4, Distance=220 miles Route=W-1-3-2-4-W, Distance=232 miles Route=W-1-3-4-2, Distance=272 miles 1, 2.
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 1,200
a. A farmers' cooperative association plans to build a new sugar mill in Georgetown. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane farms in the region, they are tightly clustered around six villages. Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this mill. All mileage references use Browns Town as (0,0). Village Barney Valley Blue Pasture Congo Valley Bower Rabacca Salem Miles East of Miles North of Sugar Cane Browns Town Browns Town 90 140 20 50 100 10 10 60 70 20 80 120 tonnage 240,000 320,000 450,000 120,000 60,000 140,000
Sports of All Sorts produces, distributes, and sells high-quality skateboards. Its supply chain consists of three factories (located in Detroit, Los Angeles, and Austin) that produce skateboards. The Detroit and Los Angeles facilities can produce 350 skateboards per week, but the Austin plant is larger and can produce up to 700 skateboards per week. Skateboards must be shipped from the factories to one of four distribution centers, or DCs (located in Iowa, Maryland, Idaho, and Arkansas). Each distribution center can process (repackage, mark for sale, and ship) at most 500 skateboards per week. Factory/DCs Detroit Los Angeles Austin 1 2 3 Retailers/DCs Just Sports Sports 'N Stuff Iowa The Sports Dude 25.00 35.00 40.00 8 9 4 1 Shipping Costs ($ per skateboard) Iowa 30.00 27.50 Maryland 30.00 25.00 4 45.00 40.00 Skateboards are then shipped from the distribution centers to retailers. Sports of All Sorts supplies three major U.S. retailers: Just Sports, Sports 'N Stuff, and The Sports…
The creation of the has resulted in and O U.S. land bridge, greater price reductions, faster deliveries, and less risk from perils of the sea. O U.S. land bridge, greater shipment safety, faster deliveries, and less risk from government restrictions on imports O U.S. interstate highways, greater shipment safety, faster deliveries, and less risk from perils of the sea. O U.S. land bridge, greater shipment safety, faster deliveries, and less risk from perils of the sea.
J 2 An electronics store wants to identify a location for a warehouse that will ship to five retail stores. The coordinates and annual number of truckloads are given in the accompanying table. Develop a model to find the best location, assuming that straight-line distances can be used between the locations. Experiment with the model by testing each of the possible best solutions, included, to find the best location. Click here to view the data for the store locations and annual numbers of truckloads. Click here to view some possible best solutions. The best location is at____. (Type an ordered pair. Round each coordinate to the nearest integer as needed.)
Oscar's Bowling, Ic., wants to break into the Phoenix metropolitan market with one of its super-sized 200 lane, 24-hour bowling alleys. It, however, only has enough capital to build one facility. Oscar wants it to be centered by population, as determined by the center of gravity method. The following information is given: City Population x coordinate y coordinate Tempe 285,000 Scottsdale 350,000 10 Chandler 725,000 5 Mesa 300.000 10 1 Glendale 345,000 1 10 a. Where should Oscar build? Oscar should build at an x coordinate of and a y coordinate of . (Enter your responses rounded to one decimal place.)
Oscar's Bowling, Inc., wants to break into the Phoenix metropolitan market with one of its super-sized 200 lane, 24-hour bowling alleys. It, however, only has enough capital to build one facility. Oscar wants it to be centered by population, as determined by the center of gravity method. The following information is given: City Population x coordinate y coordinate Tempe 275,000 5 5 Scottsdale 415,000 5 10 Chandler 310,000 5 0 Mesa 660,000 10 1 Glendale 335,000 1 10 a. Where should Oscar build? Oscar should build at an x coordinate of nothing and a y coordinate of nothing. b. If Oscar wanted to relocate to the closest city near his new facility, where would he live? (Enter your responses rounded to one decimal place.)
2. Unbalanced. Provide the transportation model for the calculation of cost given the following data: Use the Stepping Stone Method to solve the following. Use degeneracy method or dummy method if necessary.
Solve the following case study using the transportation method:Suppose there is a manufacturing company that produces and distributes its products to various customer locations across the country. This company has three production plants (Plant A, Plant B, and Plant C) located in different locations, and there are also five distribution centers (DC 1, DC 2, DC 3, DC 4, and DC 5) scattered across various regions. Sources Distribution Center DC 1 DC 2 DC 3 DC 4 Capacity Plant A $145 $150 $165 $140 2000 Plant B $175 $135 $120 $165 1250 Plant C $113 $156 $134 $148 1250 Demand 1000 1200 1400 900 The company's goal is to determine the most efficient transportation routes for delivering products from the plants to the distribution centers, considering transportation costs and available capacities.
The next diagram depicts a system of aqueducts that originate at three rivers (nodes R1, R2, and R3) and terminate at a major city (node T), where the other nodes are junction points in the system. From R1 R2 R3 R1 R2 Το R3 A B Using units of thousands of acre feet, the tables below show the maximum amount of water that can be pumped through each aqueduct per day. To D ABC From 130 115 - A 70 90 110 B 140 120 C E F T DEF DEF From D 110 85 - 130 95 85 130 160 F To T 220 330 240 The city water manager wants to determine a flow plan that will maximize the flow of water to the city. a) Formulate this problem as a maximum flow problem by identifying a source, a sink, and the transshipment nodes, and then drawing the complete network that shows the capacity of each arc.
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. 3 4 5 6 35 Dummy Supply From/To 1 40 M M 100 60 45 M M 200 12 20 M 300 4 15 10 30 300 5 M M 15 300 Demand 300 | 300 300 150 150 1,200

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