There are two algorithms called Alg1 and Alg2 for a problem of size n. Alg1 runs in n² microseconds and Alg2 runs in 100n logn 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?

Answer: (please write your answer here, add required space if needed)

Please Use log10 instead of log2