Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A cotton grower in South Georgia produces cotton on farms in Statesboro and Brooklet, ships it to cotton gins in Claxton and Millen where it

A cotton grower in South Georgia produces cotton on farms in Statesboro and Brooklet, ships it to cotton gins in Claxton and Millen where it is processed, and then sends it to distribution centers in Savannah, Perry, and Valdosta where it is sold to customers. Presently, 700 and 500 tons of cotton are available in Statesboro and Brooklet, respectively. The cost of transporting the cotton from the farms to the gins is shown in the following table:

Claxton Millen
Statesboro $4.00 $3.00
Brooklet $3.5 $3.00

The cost of shipping a ton of cotton from each gin to each distribution center is summarized in the following table:

Savannah Perry Valdosta
Claxton $10 $16 $15
Millen $12 $18 $17

The demand for cotton in Savannah, Perry, and Valdosta is 400, 300, and 450 tons, respectively. The trucks used to ship the cotton can hold a maximum of 400 tons. The cotton grower would like to meet the demand with the minimal shipping cost.

a.) Draw a network flow model to represent this problem. Make sure that you note all the numerical information about each node and each arc appropriately on the graph using network modeling convention (if you prefer, you can take a picture of your drawing and paste it to your file).

b. Implement your model in Excel and solve it.

c. What is the optimal solution? You can summarize your solution in a table or in a graph.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Algebra 1

Authors: Mary P. Dolciani, Richard A. Swanson

(McDougal Littell High School Math)

9780395535899, 0395535891

More Books

Students also viewed these Mathematics questions