SOLUTION: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x)= 240-0.4x^2 , where the revenue R(X) is measured in dollars.

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Question 188476: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x)= 240-0.4x^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 solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Your revenue function doesn't make any sense. Without an x term, the axis of symmetry of your graph is the y-axis, hence the vertex, and therefore the maximum revenue, is when you sell zero units -- an absurd result indeed.

Now if your function is actually:



that is a different story.

Maximum revenue is achieved by selling:

units

Revenue achieved at 300 units is:



You can do the arithmetic.

John