Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two companies: Southern Gas and Northwest Gas. Demand forecasts for the coming winter season are Hamilton County, 400 units; Butler County, 200 units; and Clermont County, 300 units. Contracts to provide the following quantities have been written: Southern Gas, 500 units; and Northern Gas, 400 units. Distribution costs for the counties vary, depending upon the location of the suppliers. The distribution costs per units (in thousands of dollars) are as follows:   To From Hamilton Butler Clermont Southern Gas 10 20 15 Northern Gas 12 15 18   At optimality, how many units of natural gas are shipped from Southern Gas to Clermont?   a. none of the answers proposed apply   b. 100 units   c. 300 units   d. 250 units   e. 200 units

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 67P
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Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases

natural gas from two companies: Southern Gas and Northwest Gas. Demand forecasts for the coming winter

season are Hamilton County, 400 units; Butler County, 200 units; and Clermont County, 300 units. Contracts

to provide the following quantities have been written: Southern Gas, 500 units; and Northern Gas, 400 units.

Distribution costs for the counties vary, depending upon the location of the suppliers. The distribution costs

per units (in thousands of dollars) are as follows:

  To
From Hamilton Butler Clermont
Southern Gas 10 20 15
Northern Gas 12 15 18

 

At optimality, how many units of natural gas are shipped from Southern Gas to Clermont?

  a.

none of the answers proposed apply

  b.

100 units

  c.

300 units

  d.

250 units

  e.

200 units

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