SOLUTION: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x)=264x-0.6x^2 where the revenue R(x) is measured in dollars. W

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Question 243352: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x)=264x-0.6x^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?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
R(x)=264x-0.6x^2
y=-0.6x^2+264x [y=ax^2+bx+c] a=-0.6, b=264, c=0 in this equation.
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Maximum at x=-b/2a
=-264/-1.2
=220 units to manufacture to obtain max revenue.
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y=-0.6*220^2+264*220
=-29040+58080
=$29040. Max revenue.
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Ed
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