The figure below shows the possible routes from city A to city M as well as the cost (in dollars) of a trip betweeneach pair of cities (note that if no arc joins two cities it is not possible to travel non-stop between those two cities).A traveler wishes to find the lowest cost option to travel from city A to city M.A2016B1121DE142314H15141011KWhich of the following paths would be infeasible?182321M Multiple ChoiceOOOOOA-B-D-G-J-L-MA-B-E-G-J-L-MA-C-F-I-G-J-L-MA-C-F-H-K-MA-B-D-G-I-M

In the network, the diagram has shown multiple paths and these paths are developing from one point…

Answered: The figure below shows the possible…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section6.5: Set-covering And Location-assignment Models

Problem 29P

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The figure below shows the possible routes from city A to city J as well as the time (in minutes) required for a trip between each pair of cities (note that if no arc joins two cities it is not possible to travel non-stop between those two cities). A traveler wishes to find the quickest option to travel from city A to city J. What is the shortest time possible to travel from node F to node J. Multiple Choice: 200 140 110 180 160
The figure below shows the possible routes from city A to city M as well as the cost (in dollars) of a trip between each pair of cities (note that if no arc joins two cities it is not possible to travel non-stop between those two cities). A traveler wishes to find the lowest cost option to travel from city A to city M. Which type of network optimization problem is used to solve this problem? Multiple Choice: Minimum Flow Problem Average-Cost Flow problem Maximum Flow Problem Shortest Path Problem Maximum-Cost Flow problem
Jefferson Distributing is analyzing distribution networks with either 4, 5, 6 or 7 warehouses to serve 200 major customers in Europe. Relevant costs include transportation cost from the warehouses to customers, fixed facility costs, and inventory costs in the warehouses. The table below shows the annual transportation cost produced by a facility location software tool for locating 4, 5, 6 or 7 warehouses for this company. Suppose that annual inventory cost for the network can be modeled as $800,000 times the square root of the number of warehouses. Thus, if the network has 4 warehouses, then the annual inventory cost would be $800,000 x √4= $1,600,000. Number of Warehouses Transportation Cost 4 8,000,000 5 6,500,000 6 5,000,000 7 4,400,000 a) If the annual fixed cost per warehouse is $1,000,000, how many warehouses should there be to minimize the total (transportation + warehouse + inventory) cost? b) Now suppose the…
The Heartland Distribution Company is a food warehouse and distributor that has a contractwith a grocery store chain in several Midwest and Southeast cities. The company wants toconstruct new warehouses/distribution centers in some of the cities it services to serve thestores in those cities plus all the other stores in the other cities that don’t have distributioncenters. A distribution center can effectively service all stores within a 300-mile radius. Thecompany also wants to limit its fixed annual costs to under $1,200,000. The company wants tobuild the minimum number of distribution centers possible. The following table shows thecities within 300 miles of every city and the projected fixed annual charge for a distributioncenter in each city.City Annual fixed charge ($1ks) Cities within 300 miles1. Atlanta 270 1, 2, 72. Charlotte 250…
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A company has three manufacturing plants (in Atlanta,Tulsa, and Springfi eld) that produce a product that is then shipped to one of four distribution centers. Th e three plants can produce13, 18, and 12 truckloads of product each week, respectively. Eachdistribution center needs 10 truckloads of product each week. Th eshipping costs per truckload between the plants and distributioncenters are given in the table. Th e company needs to determinehow much to ship from each plant to each distribution center andwould like to minimize total shipping costs (a) Formulate an LP to minimize the total shipping costs.(b) Set up and solve the problem on a spreadsheet.(c) What is the optimal solution? Explain the rationale for thesolution
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Solve using the duality linear programming method of the following problem:Object Function: F = X1+X2+4X3Subjected to:X1+2X2+3X3 ≥ 1152X1+X2+8X3 ≥ 200X1+X3 ≥ 50X1,X2, X3 ≥ 0 Note: Please make sure to use the duality linear programming method.
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