Question There are two algorithms called Alg1 and Alg2 for a problem of size n. Alg1 runs in n? microseconds and Alg2 runs in 100n log n microseconds. Alg1 can be implemented using 4 hours of programmer time and needs 2 minutes of ACPU time. On the other hand, Alg2 requires 15 hours of programmer time and 6 minutes of CPU time. If programmers are paid 20 dollars per hour and CPU time costs 50 dollars per minute, how many times must a problem instance of size 500 be solved using Alg2 in order to justify its development cost?

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
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There are two algorithms called Alg1 and Alg2 for a problem of size n. Alg1
runs in n? microseconds and Alg2 runs in 100n log n microseconds. Alg1 can
be implemented using 4 hours of programmer time and needs 2 minutes of
A CPU time. On the other hand, Alg2 requires 15 hours of programmer time
and 6 minutes of CPU time. If programmers are paid 20 dollars per hour and
CPU time costs 50 dollars per minute, how many times must a problem
instance of size 500 be solved using Alg2 in order to justify its development
cost?
Transcribed Image Text:Question There are two algorithms called Alg1 and Alg2 for a problem of size n. Alg1 runs in n? microseconds and Alg2 runs in 100n log n microseconds. Alg1 can be implemented using 4 hours of programmer time and needs 2 minutes of A CPU time. On the other hand, Alg2 requires 15 hours of programmer time and 6 minutes of CPU time. If programmers are paid 20 dollars per hour and CPU time costs 50 dollars per minute, how many times must a problem instance of size 500 be solved using Alg2 in order to justify its development cost?
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