Question: For relatively small values of n , algorithms with larger orders can be more efficient than algorithms with smaller orders.Suppose that when run with an

For relatively small values of n, algorithms with larger orders can be more efficient than algorithms with smaller orders.Suppose that when run with an input of size n, algorithm A requires10^8n^3operations and algorithm B requiresn^4operations.(a)What are orders for algorithms A and B from among the set of power functions?algorithm A ordern 3algorithm B ordern 4(b)For what values of n is algorithm A more efficient than algorithm B?(Enter your answer as a single inequality solved for n.)(c)For what values of n is algorithm B at least 100 times more efficient than algorithm A?(Enter your answer as a single inequality solved for n.)

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