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

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) (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.
.
Maximum at x=-b/2a
=-264/-1.2
=220 units to manufacture to obtain max revenue.
.
y=-0.6*220^2+264*220
=-29040+58080
=$29040. Max revenue.
.
Ed
.

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