MATH 133 Unit 3 Individual Project 2B
Please show all work details with answers, insert the graph, and provide answers
to all the critical thinking questions on this form for the Unit 3 IP assignment.
A version of Amdahl’s Law that was developed in 1967 by Dr. Gene Amdahl states that the
speed-up (or efficiency) of using multiple parallel processors can be calculated
approximately using the following rational function: S ( x)= x
px +(1−p) Here, x is the number of processors used and p is the decimal equivalent of the percent of
the program that must be run sequentially.
For each question, be sure to show all your work details for full credit. Round all
value answers to three decimal places.
1. Based on the first letter of your last name, in the table below choose a percent of a
program that must be run sequentially. If your choice is not a whole number percent,
then use at most two decimal places.
First letter of your last name. Possible values for p. A–F 5.00%–9.99% G–L 10.00%–14.99% M–R 15.00%–19.99% S–Z 20.00%–24.99% Show your chosen percent here.
2. Write your function. 3. Calculate your 6 values of S(x), and enter them and your chosen values of x in the
table. Page 1 of 2 Chosen x-values Calculated S(x)-values 10 4. Show the graph. 5. Show your calculations, and explain your conclusions about the maximum possible
speed-up. 6. Show your calculations. 7. Apply critical thinking to answer this question.