Concept explainers
b. A food manufacturer wants to locate a warehouse to serve its major customers.
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
i. Using the centre of gravity location technique, determine the location
coordinates that will minimize the transportation costs for their family of
products
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- barrow_forwardA food manufacturer wants to locate a warehouse to serve its major customers. 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 centre of gravity location technique, determine the location coordinates that will minimize the transportation costs for their family of products.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 to and from the seven mail source points and the current main post office, M, are shown in the following table. M will continue to act as a mail source point after relocation. Mail Source Point Round trips per day x, y, Coordinates (miles) 1 8 2 2 1 6 3 4 6 7 M 2 4 8 The center of gravity "X" coordinate = 10 The center of gravity "Y" coordinate = 6 (11,5) (15,5) (1, 13) (2, 1) (4, 14) (16, 12) (15,5) (14,2) a. Calculate the center of gravity as a possible location for the new facility. (Enter your responses rounded to the nearest whole number.) b. Compare the load-distance scores for the…arrow_forward
- Consider you are an owner of one IT organization with 200 employees and you want to keep track of the location information of each employee. You know that none of the employees will go out from the city and the radius of the city is 50 km. What kind of location measure technique will be appropriate for you to keep rack of continuous location information? Explain with proper justification. Also, show how your chosen location measurement is better than the other ones.arrow_forwardDevelop a network showing the origin nodes, destinations, arcs, cost per arc, supply, and demand. Match the correct answer to each question. Warehouse A B C D City E City F City G City H Warehouse Supply. 0.51 0.21 0.52 0.41 4000 Question 1 0.31 Question 2 0.56 0.43 0.35 0.41 0.28 City Demand 4,400 3,000 6,500 4,700 Match the correct answer to the following questions: 1. What is the supply constraint for Warehouse D? 2. What demand constraint for City H? 0.32 0.54 0.33 4000 0.54 0.34 0.52 6300 6000 [Choose ] [Choose ] > >arrow_forwardb. A food manufacturer wants to locate a warehouse to serve its major customers. 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 i. Using the centre of gravity location technique, determine the location coordinates that will minimize the transportation costs for their family of productsarrow_forward
- a. A single facility is needed to meet the demands of four markets. The locations and demands of these four markets are shown below. Market Coordinate S Demand A (8,6) 10 B (4, 12) 15 C (3,2) 10 Ꭰ (9,6) 6 i. Using the data in Table 13.2, identify an optimal location for the new facility.arrow_forwardAn auto company currently maintains plants in Cincinnati and Tulsa to supply two distributioncenters in Boston and Phoenix. The production and distribution costs, distribution demands aswell as facility capacities are given in the table attached. b) Using the intuitive lowest cost method, determines which of the candidate locations, inaddition to existing locations, gives the initial solution with a lower cost? c) Using the solutions obtained in b), identify which distribution center still faces a shortage. d) Suppose the company has chosen Houston as their third plant and would like to know the optimaltransportation strategy that minimizes overall costs by solving a minimum-cost flow problem.Terry has defined decision variables, represented as xij, to denote the number of items shippedfrom plant i to distribution center j wherei= C(Cincinnati), T(Tulsa), and H(Houston)j= B(Boston) and P(Phoenix)arrow_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
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