We have four major customers, and want to find the location that minimizes the average distance traveled to deliver products to them. Customer X coord Y coord Demand A 10 10 100 B 15 40 20 C 35 12 20 D 38 40 150 What is the optimal X coordinate for our location?

We have four major customers, and want to find the location that minimizes the average distance traveled to deliver products to them. Customer X coord Y coord Demand A 10 10 100 B 15 40 20 C 35 12 20 D 38 40 150 What is the optimal X coordinate for our location?

Understanding Business

12th Edition

ISBN:9781259929434

Author:William Nickels

Publisher:William Nickels

Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment

Section: Chapter Questions

Problem 1CE

See similar textbooks

Similar questions

An operations manager has narrowed down the search for a new King Kola plant to three locations. Fixed and variable costs follow. Fixed Cost Variable Cost Location A $100,000 $10 B $150,000 $7 C $200,000 $5 600 Annual 500 Cost ($000) 400 i. ii. 300 200 100 2 4 6 8 10 14 16 18 20 Q (000s of units) Plot the total cost curves in the chart provided above and identify the range over which each location would be best. [7 marks] Use break-even analysis to calculate exactly the break-even quantity that defines each range. [3 marks]
If the amount of fabric shipped to each plant is equal, what is the optimal location for the fabric plant? Show your computation
A 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…
The owner of a food truck implemented a new location strategy so that they would be better positioned near a crowded office park during the lunch hour. How should they evaluate the new location strategy?
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.
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
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.)
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.
Given the dataset of a supply network in the following table: Location X co-ordinates Y co-ordinates Supply or demand Site 1 61 44 40 Site 2 12 16 Site 3 38 26 76 Site 4 6 22 72 63 22 54 Supplier 1 Supplier 2 26 8 77 18 62 37 Supplier 3 Supplier 4 8 65 43 Supplier 5 43 36 26 Supplier 6 8 41 68 a. Calculate the Euclidean distance from every potential site to every supplier b. Calculate the load-distance value for every potential site. c. Conclude on the best site with the lowest load-distance value.
An 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)
Determine 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 1050