(c) An oil company owns a pipeline network that is used to convey oil from its source to several storagelocations. Due to the varying pipe sizes, the flow capacities vary. By selectively opening and closingsections of the pipeline network, the firm can supply any of the storage locations.35242If the company wants to fully utilize the system capacity to supply storage location 6, what is the maximalflow for this pipeline system from location 1 to location 6?

Linear programming is a mathematical technique that is also used in operations management…

Answered: If the company wants to fully utilize…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 32P

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A farmers' cooperative association plans to build a new sugar mill in Georgetown. Theprimary objective of the mill is to provide the farmers with a place to take their crop forprocessing that will reduce their transportation costs. The members of the co-op believe thatthe center-of-gravity method is appropriate for this objective. While there are over 200 sugarcane farms in the region, they are tightly clustered around six villages. Using the data below,use the center-of-gravity method to calculate the coordinates of the best location for this mill.All mileage references use Browns Town as (0,0).VillageMiles East ofBrowns TownMiles North ofBrowns TownSugar CanetonnageBarney Valley 90 10 240,000Blue Pasture 140 60 320,000Congo Valley 20 70 450,000Bower 50 20 120,000Rabacca 100 80 60,000Salem 10 120 140,000
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If the company wants to fully utilize the system capacity to supply storage location 6, what is the maximal flow for this pipeline system from location 1 to location 6?