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 (12th Edition) (What's New in Operations Management)
- Val’s Pizza is looking for a single central location to make pizza for delivery only. This college town is arranged on a grid with arterial streets, as shown in Figure. The main campus (A), located at 14th and R, is the source of 4,000 pizza orders per week. Three smaller campuses (B, C, and D) are located at 52nd and V, at 67th and Z, and at 70th and South. Orders from the smaller campuses average 1,000 pizzas per week. In addition, the State Patrol headquarters (E) at 10th and A orders 500 pizzas per week.a. At about what intersection should Val start looking for a suitable site? (Estimate coordinates for the major demands accurate to the nearest one-quarter mile, and then find the center of gravity.)b. What is the rectilinear weekly load–distance score for this location?c. If the delivery person can travel 1 mile in 2 minutes on arterial streets and ¼ mile per minute on residential streets, going from the center of gravity location to the farthest demand location will take how long?arrow_forwardA 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.arrow_forwardRauschenberg Manufacturing is investigating which locationswould best position its new plant relative to three importantcustomers (located in cities A, B, and C). As shown in the tablebelow, all three customers require multiple daily deliveries.Management limited the search for this plant to those threelocations and compiled the following information: a. Which of these three locations yields the smallest totaltravel distance, based on Euclidean distances?b. Which of these locations is best, based on rectilineardistances?c. What are the coordinates of the center of gravity?arrow_forward
- Xun Xu Health and Fitness has several productionfacilities scattered around the central and northern pa rt ofIowa. It would be desirable to have a distribution center fromwhich to send product to retailers such as Sears, WaiMart,Kmart, and large sporting equipment re tailers. Using the datain the following table, calculate the center of gravity locationfor the proposed new facility.arrow_forwardAn operations manager has narrowed down the search for a new King Kola plant to three locations. Fixed and variable costs follow. Location Fixed Cost Variable Cost A $100,000 $10 B $150,000 $7 C $200,000 $5 Plot the total cost curves in the chart provided above and identify the range over which each location would be best. Use break-even analysis to calculate exactly the break-even quantity that defines each range.arrow_forwardThe method for determining facility location which involves determining x and y co-ordinates of the proposed new location O a. Factor Rating Method O b. Locational Break-even Analysis O C. Transportation Method Od. Centroid Methodarrow_forward
- Use the centroid method to determine the best location for this new facility.arrow_forwardMaya ltd. wants to use the Centre of Gravity location technique to determine where to setup itsdistribution centre.I. What is the main objective of using this technique? II. What information will be needed in order to use this technique? III. Setup a numerical example that can be used to demonstrate to the owner of thecompany how the technique can be used. IV. Use the numerical example set up above to demonstrate how the centre of gravitylocation technique is used.arrow_forwardART Contractors must locate an equipment staging area to serve three construction sites, located at coordinates (0,2), (0,4), and (5,5). Traffic between the staging area and each of the three sites will be equal. What is the best set of coordinates for the equipment staging area? Please show the math.arrow_forward
- The 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_forwardIf the amount of fabric shipped to each plant is equal, what is the optimal location for the fabric plant? Show your computationarrow_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
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