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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) = 100x − 0.4x2, 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?

 Dec 15, 2020
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Max will ocur at unit = -b /2a =  - 100/(2*(-.4)) = 125 units

 

revenue will be    100(125)- .4(1252) = $6250

 Dec 15, 2020

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