Concept explainers
A
Interpretation: The center of gravity for a new facility is to be calculated.
Concept Introduction: Plant location means to choice the particular region for setting up a business. Choosing a place for plant is most essential in order to get maximum profit. So it is very crucial to identify an ideal place, where all the capital is brought together for progress of business.
B
Interpretation: The load distance score for current location to the nearest facility using the rectilinear distance should be compared.
Concept Introduction: Plant location means to choice the particular region for setting up a business. Choosing a place for plant is most essential in order to get maximum profit. So it is very crucial to identify an ideal place, where all the capital is brought together for progress of business.
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Operations Management: Processes and Supply Chains (11th Edition)
- A larger and more modern post office is to be constructed at a new location in Sally Spring Georgia. Growing suburbs caused a shift in the population density from where it was 30 years ago when the current facility was built. Andy Browne, the postmaster, asked his assistants to draw a grid map of the seven points where mail is picked up and delivered in bulk. The coordinates and trips per day to and from the seven mail source points and the current main post office are shown in the table below. Mail Source Point Round Trips per day X coordinate Y coordinate 1 6 2 8 2 3 6 1 3 3 8 5 4 3 13 3 5 2 15 10 6 7 6 14 Calculate the center of gravity as a possible location for the new facility. Can you please show me how you arrived at the answer?arrow_forwardA larger and more modern main post office is to be constructed at a new location in Davis, California. Growing suburbs caused a shift in the population density from where it was 40 years ago, when the current facility was built. Annette Werk, the postmaster, asked her assistants to draw a grid map of the seven points where mail is picked up and delivered in bulk. The coordinates and trips per day following table. M will continue to act as a mail source point after relocation. and from the seven mail source points and the current main post office, M, are shown in the Round trips per day x, y, Coordinates (miles) (4, 6) (8, 4) (3, 14) Mail Source Point 4 2 7 3 (6, 10) (12, 11) (13, 5) (13, 6) (14, 10) 11 7 6 3 7 3 8 a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest whole number.) The center of gravity "X" coordinate = 9 The center of gravity "Y" coordinate = 8. b. Compare the load-distance scores for the location…arrow_forwardUsing the information about customer vehicle traffic to and from a proposed new sports stadium (not built yet), find the best location for the stadium that minimizes total distance travelled using the center-of-gravity method. Zip Code Location Options 2 3 4 Coordinates of Location X 2 9 12 13 y 4 5 6 12 Vehicles per Stadium Event 4,300 4,700 1,100 2,000 Use the center-of-gravity method to determine an ideal location for a service center. Round your answers to two decimal places. Cx: Cy:arrow_forward
- The new Health-Watch facility is targeted to serve seven census tracts in Erie, Pennsylvania, whose latitudes and longitudes are shown in Table, along with the population in each census tract (in thousands). Customers will travel from the seven census-tract centers to the new facility when they need health care. What is the target area’s center of gravity for the Health-Watch medical facility?arrow_forwardRauschenberg Manufacturing is investigating which locations would best position its new plant relative to three important customers (located in cities A, B, and C). As shown in the table below, all three customers require multiple daily deliveries. Management limited the search for this plant to those three locations and compiled the following information: Location Coordinates (miles) Deliveries per day (200,100) (300,100) (300,300) A 9 B 5 7 a. Which of these three locations yields the smallest load-distance score, based on Euclidean distances? Location V yields the smallest load-distance score of : (Enter your response rounded to one decimal place.)arrow_forwardThe following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub. Using the Center of Gravity method, near which map coordinates should the hub be located? STORE LOCATION CONTAINERS SHIPPED PER MONTH X Y Chicago 2,000 50 120 Pittsburgh 1,000 110 100 New York 3,000 160 130 Atlanta 2,000 120 40arrow_forward
- 1. Using the center-of-gravity method, compute the centralized coordinates among the following locations, which are indicated via black cells with white text in LOCATION.xlsx: 7,1 10,1 4,2 2,5 6,6 9,6 2,8 6,10 2. Using the weighted average center-of-gravity, which accounts for quantities to be shipped from locations, compute the centralized coordinates among the following locations: 7,1 10,1 4,2 2,5 6,6 9,6 2,8 6,10 *Quantities to be shipped are listed within the existing locations (i.e. Location 7,1 ships 17 units) in LOCATION.xlsxarrow_forwardA company has a manufacturing plant that supply three markets in city A, B, and C. Management is looking for a place to locate a single distribution that will minimize total transportation costs. The plant is estimated to move (send) a total of shipment of 12,700 ton per month to the new distribution center. The transportation rate of moving shipment from the plant to the distribution center is $ 0.08 per ton per mile. Market A will receive a total shipment of 6,200 ton per month, market B will receive a total shipment of 2,000 ton per month, and market C will receive a total shipment of 4,500 ton per month. The transportation rate between the distribution center and the markets are as follows: $0.19 per ton per mile to market A, $0.37 per ton per mile to market B, and $0.25 per ton per mile to market C. The horizontal and vertical coordinates of the plants and markets are follows: Plant, 25, 75 Market A, 30, 5 Market B, 36, 24 Market C, 15, 40 Use the Center-of-Gravity method to find…arrow_forwardhow to setup an example of a numerical centre of gravity location technique (for production and operations management) that can be used to demonstrate how the technique is used for a distribution centre?arrow_forward
- Calculate the centre of gravity as a possible location for the new facility.arrow_forwardMicroserve provides computer repair service on a contract basis to customers in five sections of the city. The five sections, the number of service contracts in each section, and the x and y coordinates of each section are as follows: Section Parkview Mt. Airy Valley Norwood Southgate No. of Contracts 90 220 60 3.4 14.2 290 17.7 160 14.0 Use the center-of-gravity method to determine an ideal location for a service center. Round your answers to two decimal places. Cx: Cy: Choose the correct graph representing the center of gravity. The correct graph is -Select- v A. C. Center of Gravity 20 Y- Coordinate y- 16- 12- 8 4+ 20- 16- 12 ● ● • 12 x- Coordinate Center of Gravity y- Coordinate: 16 ● B. D. -20+ -16- 12 8+ 20 16- 12 Center of Gravity y- Coordinate 8 12 x- Coordinate Center of Gravity y- Coordinate ● 16 Coordinates X Y 6.2 11.9 4.2 5.3 4.4 10.9arrow_forwardDetermine the suitable location of a distribution centre with the below data, minimizing the transportation dollars spent on managing inbound and outbound shipments. Plot the location of the Vendors, Customers and the location of the new DC in a chart Vendor V1 V2 V3 V4 Customer C1 C2 C3 C4 Rate $ per Ton Mile $ $ $ $ 4.75 3.75 3.15 4.75 Rate $ per Ton Mile $ $ $ $ 3.50 3.75 4.25 5.00 Volume in Tons 1000 1000 1600 1400 Volume in Tons 760 640 800 500 Vendor Location Coordinates (miles) Horizontal 525 600 412.5 300 Vertical 300 750 750 630 Customer Location Coordinates(miles) Vertical 450 900 1050 975 Horizontal 900 900 825 1050arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,