I am having a hard time putting the differentiation equation together maybe someone could point me the in right direction. here is the problem : A particular factory manufactures n units per month. Each unit sells for c dollars. The number of units sold varies with the selling price according to n=600-10c and the monthly operating cost of the factory is given by C=4000+12n The monthly profit P=nc-C is the maximum when the unit selling price is (1) $42 (2) $36 (3) $420 (4) $90 I am just having a hard time getting the equation for it. I guess I am stuck deep just need a kick start. thanks for any help anyone could give me some advice.
Well, maybe the following will help you: You want the maximum dependent variable profit P in terms of the independent variable unit price c. Let me ask you. If you wanted to find the local max/min of a function y(x) how would you go about doing that? Hope this helped. Good luck, -blazed
Play arond with eqn until you can express P in terms of c only. You shld get a quadratic equation. Thereafter find DP/Dc when it is 0. you shld get the answer.
thanks for your (the two of you) help. I was heading in the right direction. Just wasn't sure. it is hard to do problems with a flashlight in the dark. I know I made a couple of small mistakes.