## LavineLim 3 years ago C (x) =72000 +60x R (x) =200x-x^2/30 find the profit function,level of production that will maximize the profit,the maximum profit.

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1. LavineLim

Yes,Sheg.. First one is Cost function,second one is Revenue function..

2. sheg

what is profit???

3. LavineLim

i don't know..this question comes from my math's lecturer.. can you help me?

4. sheg

ok Profit = Revenue - Cost

5. LavineLim

can you show me the steps to answer this question?

6. sheg

yeah i can just subtract cost function from the revenue function

7. LavineLim

Sheg,i still have a lot of math question need your help.. Can i ask here too?

8. sheg

hey this question is still not complete

9. LavineLim

okay,i ask you later.. thanks you..=)

10. Awstinf

Take the derivative of of profit, set the derivative equal to zero then do an increasing decreasing test to see whether or not you got a max or a min, usually it will be a max anyways but its always good to show your work

11. Awstinf

the roots of the function will be the max or the min

12. Awstinf

the derivative that is

13. Awstinf

also that x value you find is the level of production