A single facility is needed to meet the demands of four markets. The locations and demands of these four markets are shown below. Using the data in the table below, identify an optimal location for the new facility. Please show the formula used. Market Coordinates Demand A (8,6) 10 B (4,12) 15 C (3,2) 10 D (9,6) 6

A single facility is needed to meet the demands of four markets. The locations and demands of these four markets are shown below. Using the data in the table below, identify an optimal location for the new facility. Please show the formula used. Market Coordinates Demand A (8,6) 10 B (4,12) 15 C (3,2) 10 D (9,6) 6

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 100P

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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 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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