There are two algorithms called Alg1 and Alg2 for a problem of size n. Alg1 runs in n2 microseconds and Alg2 runs in 100n log n microseconds. Alg1 can be implemented using 4 hours of programmer time and needs 2 minutes of 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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ANSWER To compare the cost of implementing Alg1 and Alg2 we need to consider both the programmer tim... View the full answer