Sunday, August 22, 2010

Math??????

http://x74.xanga.com/a038271b55138151832... the quantity x sold of a certain product


1. express the revenue R as a function of x





2. what is the revenue if 100 units are sold?





3. what quantity x maximizes revenue?





4. what is the maximum revenue?





5. what price should maxmize revenue?

Math??????
What does -1/10x+150 represent? Is that the price?


Your question is not very clear.





If -1/10x+150 represents the price p(x), then the revenue is found by multiplying x by p(x).





1) R(x) = x*p(x) = x(-1/10x+150)


2) Replace x with 100, and simplify.


3) Find the vertex of the parabola.


If you've learned derivatives, then you need to find where the first derivative equals zero.


4) Evaluate R(x) at the point that you found in #3.


5) Take the value that you found in #3 and plug it into p(x).


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