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 Northwest Gas, 400 units. Distribution costs for the counties 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 this problem.

The network model is attached.

Step-by-step explanation:

Total Demand from each Gas Company are:

Southern Gas, 500 units;

Northwest Gas, 400 units.

Total Supplies to each County are:

Hamilton County, 400 units;

Butler County, 200 units;

Clermont County, 300 units.

The distribution costs per unit (in thousands of dollars) are as follows

-----------Hamilton-- Butler-- Clermont

Southern Gas--- 10 ---20--- 15

Northwest Gas ----12 ----15---- 18

The network representation of these information is given in the attachment.

5y

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have