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A Manufacturer Finds That the Revenue Generated by Selling X R(x)=40x0.2x2R ( x ) = 40 x - 0.2 x ^ { 2 }

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A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function, R(x)=40x0.2x2R ( x ) = 40 x - 0.2 x ^ { 2 } where the revenue R(x)R ( x ) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum?


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