P3 p4 Problem 3:A clothing manufacturer produces women's clothes at four locationsin Hongkong. Relative locations have been determined, as shownin the table. The location of a central shipping point for bolts ofcloth must now be determined. Weekly quantities to be shipped toeach location are shown below. Determine the coordinates of thelocation that will minimize distribution costs.LocationABсDLocationD1D2ASSIGNMENTD3D4XProblem 4:An analysis of sites for a distribution center has led to two sites (L1and L2) on the map). The sites are comparable on every keyfactor. The one remaining factor is the center of gravity. Use thecenter of gravity method to select the better site. Monthlyshipments will be the quantities listed in the tableD55639Xy Quantity1224TUT314253y7994WeeklyQuantity15202530ASSIGNMENT900300700800120088

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Answered: Problem 3: A clothing manufacturer…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 100P

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A chain of home health care firms in Louisiana needsto locate a central office from which to conduct internal audits and other periodic reviews of its facilities. These facilities are scat-tered throughout the state, as detailed in the following table. Each site, except for Houma, will be visited three times each year by ateam of workers, who will drive from the central office to the site. Houma will be visited five times a year. Which coordinates rep-resent a good central location for this office? What other factors might influence the office location decision? Where would youplace this office? Explain. PXCITY MAP COORDINATESx yCovington 9.2 3.5Donaldsonville 7.3 2.5Houma 7.8 1.4Monroe 5.0 8.4Natchitoches 2.8 6.5New Iberia 5.5 2.4Opelousas 5.0 3.6Ruston 3.8 8.5
Let us assume that a new medical facility, Health-care, is to be located in XYZ city. The location factors, factor rating and scores for two potential sites are shown in the following table. Which is the best location based on factor rating method? in the following table. Which is the best location based on factor rating method? Sr Location factor Factor Rating Rating Location 1 Location 2 1 Facility utilization 10 5 4 2 Total patient per month 8 4 2 3 Average time per emergency trip 5 4 5 4 Land and construction costs 6 3 4 5 Employee preferences 7 4 4 6 Operations Facility 8 4 3
Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas. The locations under consideration together with the areas that can be covered from these locations are given in the following table: Potential Locationsfor Substations Areas Covered A 1, 5, 7 B 1, 2, 5, 7 C 1, 3, 5 D 2, 4, 5 E 3, 4, 6 F 4, 5, 6 G 1, 5, 6, 7 Formulate an integer programming model that could be used to find the minimum number of locations necessary to provide coverage to all areas.
Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas. The locations under consideration together with the areas that can be covered from these locations are given in the following table: PotentialLocations forSubstations AreasCovered A 1, 2, 5, 7 B 1, 3, 5 C 2, 4, 5 D 3, 4, 6 E 4, 5, 6 F 1, 5, 6, 7 G 1, 5, 7 xA + xB + xC + xD + xE + xF + xG (area 1 covered) xA + xB + xC + xD + xE + xF + xG ≥, =, or less than or equal to (area 2 covered) xA + xB + xC + xD + xE + xF + xG (area 3 covered) xA + xB + xC + xD + xE + xF + xG (area 4 covered) xA + xB + xC + xD + xE + xF + xG (area 5 covered) xA + xB + xC + xD + xE + xF + xG (area 6 covered) xA + xB + xC + xD + xE + xF + xG (area 7 covered) (a) Formulate an integer programming model that could be used to find the minimum number of…
An elite logistics company want to determine the optimum assignment of its fleet of trucks to deliveryroutes. The objective is to minimize total costs. The costsdata in hundreds of dollars for the various truck-routecombinations are given in the following table. Develop anassignment that will minimize total cost.Route (in U.S. dollars)Truck 1 2 3 4A 9 13 8 5B 10 11 7 6C 12 6 14 9D 8 9 10 12
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.)
Problem 8-11 A manager has received an analysis of several cities being considered for a new office complex. The data (10 points maximum) are as follows: Location Score Factor A B C Business services 8 6 6 Community services 7 6 7 Real estate cost 3 8 7 Construction costs 5 8 7 Cost of living 3 7 8 Taxes 5 5 4 Transportation 6 7 8 a. If the manager weights the factors equally, how would the locations stack up in terms of their composite factor rating scores? A / 7 B / 7 C / 7 Thus, (Click to select) A B C B and C A and B is the best. b. If business services and construction costs are given weights that are double the weights of the other factors, how would the locations stack up? A / 9 B / 9 C / 9 Thus, (Click to select) A B C A and B B and C is best and (Click to select) A B C A and B B and C…
Silky Industries is looking for a location for its second telephone remanufacturing facility. Two cities are under consideration. The two most important location factors are: Factor A “availability of resources” and Factor B “availability of customers.” However, the company is having great difficulty assigning relative weights to these factors. Location Factor Factor Weight Factor Scorefor Each City Blake Irmo A. Availability of resources 5 6 B. Availability of customers 10 7 Total 100 Assuming that the factor weights must sum to 100, what range of weights would make Blake the superior location?
A chain of home health care firms in Louisiana needs to locate a central office from which to conduct internal audits and other periodic reviews of its facilities. These facilities are scattered throughout the state, as detailed in the following table. Each site, except for Houma, will be visited three times each year by a team of workers, who will drive from the central office to the site. Houma will be visited five times a year. Which coordinates represent a good central location for this office? What other factorsmight influence the office location decision? Where would youplace this office? Explain.
What is the major difference in focus between location decisions in the service sector and in the manufacturing sector?a) There is no difference in focus.b) The focus in manufacturing is revenue maximization,while the focus in service is cost minimization.c) The focus in service is revenue maximization, while thefocus in manufacturing is cost minimization.d) The focus in manufacturing is on raw materials, whilethe focus in service is on labor.
For each of the location problems described, discuss which of the seven assumptions listed in this section are likely to be violated:d. Locating spare parts depots to support a field repair organization.
Just as cities and communities can be compared for location selectionby the weighted approach model, as we saw earlier in this chapter,so can actual site decisions within those cities. Table belowillustrates four factors of importance to Metro Manila, and the healthofficials charged with opening that city’s first public drug treatmentclinic. Of primary concern (and given a weight of 5) was location ofthe clinic so it would be as accessible as possible to the largestnumber of patients. Due to a tight budget, the annual lease cost wasalso of some concern. A suite in the city hall was highly rated becauseits rent would be free. An old office building near the downtown busstation received a much lower rating because of its cost. Equallyimportant as lease cost was the need for confidentiality of patientsand, therefore, for a relatively inconspicuous clinic. Finally, becauseso many of the staff at the clinic would be donating their time, thesafety, parking, and accessibility of each site…

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