Question: You have three algorithms for a particular task with the following cost functions: f1(n) = 4000n log(n) + 3 f2(n) = 100n 2 + 200n

You have three algorithms for a particular task with the following cost functions: f1(n) = 4000n log(n) + 3 f2(n) = 100n 2 + 200n f3(n) = 30 2 n + n 4 (a) Determine the scaling of each algorithm and justify your answer. (b) Using your solutions to part (a), order the algorithms from most favorable to least favorable Explain how you deduced this ordering.

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