# Network Flows Case Study Essays

740 WordsFeb 16, 20153 Pages
Network Flows Case Study’s Anthony Ryan Saxon February 2, 2015 MTH/221 JEFF BABBITT I decided to write about the Network Flow Case Study. In this paper I will provide examples from the text and provide the theories that fall behind the problems. After explaining the examples I will provide some real world application and some references on them. Example 1: You are needing a new A/C in your home and you are looking to save money on the work and on your bill/bills. The A/C technician explains he can save you some money by using some material that was left over from other jobs. As seen in the picture below: Would this work for this application? This would work. The A/C technician is required to know some type of algebra…show more content…
Example 3: Employers and Employees Employers Department 1 Department 2 Department 3 Department 4 Max # area Wanted 1 Yes Yes No No 3 2 Yes No Yes Yes 2 3 No Yes Yes Yes 3 # Area Needed 3 1 1 2 In this example the table shows where an employer was asked to hire more employees in order to cover 100 departments with 30 different areas. Each new employee would work in areas 1, 2, and 3. The area assigned to the employee would be determined by the employer him/herself. The table above givens an example of how it will go. Then the overall question would be how the assigned areas would be split up. When it comes to converting the table above into a graph to the answer, I am at a little bit of a loss. The employee numbers 1, 2, and 3 would then be converted into vertices D1, D2, and D3 and the different areas into A1, A2, and A3 which is shown in the diagram below: In the diagram you have to replace the S’s with D’s and the C’s with the A’s. I believe the assigned areas would be given to the employees by the employer. An employer would be assign to an employee by random. The employee would follow the employer’s number through the graph. This would start in area 1 and continue on through 3. If you have 100 employers and 30 employees they would be assigned in areas as 34, 33, and 33 this would allow all areas to be covered and the jobs completed in