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 as follows: 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 Northwest Gas, 400 units. Distribution costs for the countries vary, depending upon the location of the suppliers. The distribution costs per unit (in thousands of dollars) are as follows:   From Hamilton Butler Clermont Southern Gas 10 20 15 Northwest Gas 12 15 18   Develop a network representation of the distribution system. Develop the objective function and the constraints.

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  1. 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 as follows: 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 Northwest Gas, 400 units. Distribution costs for the countries vary, depending upon the location of the suppliers. The distribution costs per unit (in thousands of dollars) are as follows:

 

From

Hamilton

Butler

Clermont

Southern Gas

10

20

15

Northwest Gas

12

15

18

 

  1. Develop a network representation of the distribution system.
  2. Develop the objective function and the constraints.
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