SOLUTION: The revenue function in terms of the number of
units sold ,x, is given as
R = 270x-0.1x^2
where R is the total revenue in dollars. Find the number of units
sold x that produces
Algebra ->
Rational-functions
-> SOLUTION: The revenue function in terms of the number of
units sold ,x, is given as
R = 270x-0.1x^2
where R is the total revenue in dollars. Find the number of units
sold x that produces
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Question 429637: The revenue function in terms of the number of
units sold ,x, is given as
R = 270x-0.1x^2
where R is the total revenue in dollars. Find the number of units
sold x that produces a maximum revenue?
Your answer is x =
what is the maximum revenue = Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website!
The function reaches a maximum where the derivative is equal to 0.
Solving for x gives x = -270/-0.2 = 1350
So the number of units which produces the maximum revenue = 1350
Substituting this value in the original equation gives the revenue:
This gives R = $182,250
The function looks like this:
