A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 80x − 0.2x^{2}, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum?

Thank you for the opportunity to help you with your question! the solution is as such:

for maximum revenue, d[R(x)] / dx= 0,

so x= 200 units

now putting x= 200, R(x)= 8000$

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