3.Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. Thecompany purchases natural gas from two companies: Southern Gas and Northwest Gas.Demand forecasts for the coming winter season are as follows: Hamilton County, 400 units;Butler County, 200 units; and Clermont County, 300 units. Contracts to provide the follow-ing quantities have been written: Southern Gas, 500 units; and Northwest Gas, 400 units.Distribution costs for the counties vary, depending upon the location of the suppliers. Thedistribution costs per unit (in thousands of dollars) are as follows:ТоFromHamiltonButlerClermontSouthern Gas102015Northwest Gas121518a. Develop a network representation of this problem.b. Develop a linear programming model that can be used to determine the plan that willminimize total distribution costs.c. Describe the distribution plan and show the total distribution cost.d. Recent residential and industrial growth in Butler County has the potential for increas-ing demand by as much as 100 units. Which supplier should Tri-County contract withto supply the additional capacity?

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

Answered: a. Develop a network representation of…

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. Develop a network representation of this problem. b. Develop a linear programming model that can be used to determine the plan that will minimize total distribution costs. c. Describe the distribution plan and show the total distribution cost.