Challenge: Maximum Advertisement Revenue

Problem

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This problem is similar to the Maximum Product of Two Sequences Problem.

Maximum Product of Two Sequences

Find the maximum dot product of two sequences of numbers.

Input: Two sequences of $n$ positive integers: $price_{1},\ldots, price_{n}$ and $clicks_{1},\ldots, clicks_{n}$.
Output: The maximum value of $price_{1} · c_{1} +\ldots + price_{n}$ . $c_{n}$ ...