The Burger Doodles restaurant chain uses a distribution center to prepare the foodingredients it provides its individual restaurants. The company is attempting to determinethe location for a new distribution center that will service five restaurants. The grid-mapcoordinates of the five restaurants and the annual number of 40-foot trailer truckstransported to each restaurant are as follows:Coordinates (x, y)Annual Truck ShipmentsRestaurant1100, 300352210, 180243250, 400154300, 150195400, 20038(a) Find the least cost location using the center of gravity model for this new facility.(b) Plot the five restaurants and the proposed new distribution center on a grid map.

Answered: Image /qna-images/answer/77d75430-5503-41d6-b851-9728ce43d496.jpga) b)

Answered: (a) Find the least cost location using…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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…
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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)

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(a) Find the least cost location using the center of gravity model for this new facility. (b) Plot the five restaurants and the proposed new distribution center on a grid map.