An operations manager wants to use gravity location approximation to decide the location of a warehouse. The x and y coordinates of three customer locations, demand (D) at those locations, and transportation costs per unit per mile (F) are presented in the table below. Help the operations manager by finding the approximate location of the warehouse. Customers y F 1 10 20 1 10 2 20 1 20 3 10 10 2 10 x=20, y=10 O x=14, y=10 O x=10, y=14 O x=13.3, y=11.7 x=10, y=15 5.
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- ElectroMart 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 and solve a model to find the best location, assuming that straight-line distances can be used between the locations The best location for the warehouse is at X....... and Y......... (Round to two decimal places as needed.)The Times-Picayune is searching for an ideal spotting station for the morning paper. The table below shows potential neighborhoods, their location on an XY grid of the city, and typical morning volume. What is the location that will minimize the transportation costs for the newspaper? Customer Annual Volume X-Coordinate Y-Coordinate Florida 255 6 4 Desire 150 7 6 Lafitte 235 2 4 Iberville 450 2 6 Guste 175 2 6 CJ Peete 255 1 4 Group of answer choices Near (3.0, 5.0) Near (2.8, 4.8) Near (2.5, 5.4) Near (2.8, 5.2)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 Scottsdale Chandler Mesa Glendale 250,000 400,000 300,000 700,000 350,000 5 5 5 10 1 5 10 0 1 10 a. Where should Oscar build? b. If Oscar wanted to relocate to the closest city near his new facility, where would he live?
- 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.)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?Mitch just built 4 franchise locations for his newest pizzerias and wants to decide where to put his headquarters. He makes 1 weekly visit to his Northside store (X = 3, Y = 10), 2 visits to his Eastside store (X = 4, Y = 6), 3 visits to his Southside store (X = 2, Y = 5) & 4 visits to his Westside store (X = 1, Y = 4). __________ 1. Using the store visits as weights, compute the coordinates of the center of gravity to help him with his location decision.
- A single facility is needed to meet the demands of four markets. The locations and demands ofthese four markets are shown below. Market Coordinates Demand A (8,6) 10 B (4,12) 15 C (3,2) 10 D (9,6) 6 1.Using the data in the table above, identify an optimal location for the new facility. 2. A manufacturing firm is considering three potential locations for a new parts manufacturing facility. Aconsulting firm has assessed three sites based on the four factors supplied by management as critical tothe location's success. Management-supplied the factor weights and the consultant team scores as seen as in the table below. Scores are based on 50 = best. Location Factor Weight A B C Labour climate 10 35 45 20 taxes 30 30 40 40 utilities 20 25 20 45 wages 40 10 25 25 Which location should be selected and why?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.)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
- A farmers' cooperative association plans to build a new sugar mill in Georgetown. Theprimary objective of the mill is to provide the farmers with a place to take their crop forprocessing that will reduce their transportation costs. The members of the co-op believe thatthe center-of-gravity method is appropriate for this objective. While there are over 200 sugarcane 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).VillageMiles East ofBrowns TownMiles North ofBrowns TownSugar CanetonnageBarney Valley 90 10 240,000Blue Pasture 140 60 320,000Congo Valley 20 70 450,000Bower 50 20 120,000Rabacca 100 80 60,000Salem 10 120 140,000A food manufacturer wants to locate a warehouse to serve its major The customers, annual volume, and the X and Y coordinates are shown in the table below. Customer Annual Volume X-Coordinate Y-Coordinate Judy inc. 25 3 7 Zac Supermarket 13 5 2 Harry Inc. 6 8 4 Sky Productions 4 1 5 Using the center of gravity location technique, determine the location coordinates that will minimize the transportation costs for their family of products.MedStar Health is expanding into Virginia. The firm must select one location where it can build a clinic to serve patients. The following table lists the expected profits for clinics in three locations depending on the numbers of patients utilizing the clinic. The probability of high demand is 0.75 and of low demand 0.25. Location Payoff High numbers of Patients Low Numbers of Patients Alexandria Woodbridge Leesburg $1,500,000 $950,000 1,200,000 $600,000 $900,000 $200,000 a. Find the best location for the clinic using the following criterion i. Maximax (Optimistic) ii. Maximin (Pessimistic) iii. Equal likelihood (Laplace) iv. Minimax regret v. Expected value (EMV) b. Cognizant Consulting specializes in the expansion of medical firms. The consultants assert that they can determine whether demand for the medical facility’s services will be high or low at the proposed locations. They have offered to provide their services to MedStar Health for a $100,000 fee.…