**For each question, be sure to show all your work. Round all numerical answers to three decimal places.**

1. Research and define the concepts of maximum theoretical throughput, channel capacity, and bandwidth. Next, explain the difference between CAT5e and CAT6 Ethernet cables. What specific speeds can each of these cables handle? Listing credible cited resources, please answer these below.

__ __

2. In the table below, using the letter T, please select one number from each of the ranges in the x and y columns.

Table A: Estimates of bit-transmissions and times

First Letter of Your last Name |
Seconds |
Gigabits (Gb) |

A – D |
2 to 3.99 |
2 to 3.99 |

E – H |
4 to 7.99 |
4 to 7.99 |

I – L |
8 to 15.99 |
8 to 15.99 |

M – P |
16 to 31.99 |
16 to 31.99 |

Q – T |
32 to 63.99 |
32 to 63.99 |

U – Z |
64 to 79.99 |
64 to 79.99 |

Given that the throughput is the table’s Gigabits per seconds (Gbps), calculate and record this transfer rate for your chosen values with the formula:

3. Your school’s maximum network bandwidth is 1 Gbps. Does your answer from above exceed that or not? Based strictly on your value, do you think the maximum bandwidth should be raised? Will the network infrastructure need to be upgraded to support CAT6 cables? How did you arrive at this conclusion? Include the factors that influenced your decision.

4. According to your research, the school’s throughput speed ** R(t)** in Gbps, with respect to time in seconds, is best modeled with the rational function:

Generate a graph of this function using Excel or another graphing utility. (There are free downloadable programs like Graph 4.4.2 or Mathematics 4.0; or, there are also online utilities such as this site and many others.) Insert the graph into the Word document containing your answers and work details. Be sure to label and number the axes appropriately.

Based strictly on this result, do you think your school should raise its current network’s bandwidth of 1 Gbps? How did you arrive at this conclusion?

Based strictly on this result, do you think your school should raise its current network’s bandwidth of 1 Gbps? How did you arrive at this conclusion?

7. Based on all of your previous results, do you think your school should raise its current network’s bandwidth of 1 Gbps? How did you arrive at this conclusion?

Subject | Mathematics |

Due By (Pacific Time) | 11/06/2015 12:00 am |

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