Question

Answer the following question using Amdahl’s Law. Assume a computer system with three components, A, B, and C. Each component is used 40%, 35%, and 25% of the time, respectively. The components are used serially. The cost of this baseline system is $1. As a manufacturer with improved components A+, B+, and C+, with speedup factors of 1.25×, 1.3×, and 1.2×, respectively, determine the maximum price increase for each better component, A+, B+, and C+.

A) $0.25, $0.30, $0.20
B) $0.10, $0.15, $0.12
C) $0.15, $0.20, $0.18
D) $0.30, $0.25, $0.22

Answer 1

Amdahl's Law is used to calculate the maximum price increase for improved components in a computer system, based on their usage percentages and speedup factors. The correct answer is option A) $0.25, $0.30, $0.20.

Step-by-step explanation:

Amdahl's Law is used to determine the maximum price increase for improved components in a computer system. In this case, we have three components A, B, and C, with usage percentages of 40%, 35%, and 25% respectively. The speedup factors for the improved components are 1.25x, 1.3x, and 1.2x. To calculate the maximum price increase for each component, we use the formula:

New time = (Old time) / (Speedup factor)

For component A+, the maximum price increase would be $0.25, for component B+ it would be $0.30, and for component C+ it would be $0.20. Therefore, option A) $0.25, $0.30, $0.20 is the correct answer.