A company has a manufacturing plant that supply three markets in city A, B, and C.Management is looking for a place to locate a single distribution that will minimizetotal transportation costs.The plant is estimated to move (send) a total of shipment of 12,700 ton per monthtothe new distribution center.The transportation rate of moving shipment from the plant to the distributioncenter is $ 0.08 per ton per mile.Market A will receive a total shipment of 6,200 ton per month,market B will receive a total shipment of 2,000 ton per month, andmarket C will receive a total shipment of 4,500 ton per month.The transportation rate between the distribution center and the markets are asfollows:$0.19 per ton per mile to market A,$0.37 per ton per mile to market B, and$0.25 per ton per mile to market C.The horizontal and vertical coordinates of the plants and markets are follows:Plant, 25, 75Market A, 30, 5Market B, 36, 24Market C, 15, 40Use the Center-of-Gravity method to find the location of the distribution center.Use at least 4 decimal places.The vertical coordinate of the new distribution center is

Find the Given details below: Given Details: Market Volume Shipped Coordinates Horizontal…

Answered: A company has a manufacturing plant…

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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