00:01
Okay, we have a problem that says a company sells x units of a product at a price of p dollars each unit.
00:08
If the total monthly profit depending on x is given by, and then they give you a profit function, they want to know how much should we sell to maximize profit.
00:21
The wording of the problem may be a little confusing because we have this price p, little p is the price of each unit and x is the number of units that they are selling.
00:35
And then they get this profit function which is a big p and that's a tad confusing.
00:41
This little p doesn't have anything to do with the question, it just says that's the price we are going to sell it.
00:47
And then they want to know how many units should they sell to get the biggest profit possible.
00:57
So that's what's happening with this.
00:58
So we want to maximize this function.
01:01
Now this up here is all i got to work with, there was no book that went with it.
01:09
So i actually have the freedom to answer it two ways because i didn't see a particular method they wanted.
01:17
The first one is to graph it.
01:19
I just graphed this function on desmos, 60x minus 0 .01x squared minus 2000 plus 25x...