00:01
To find the profit function, let's start by finding the revenue function.
00:06
Okay, r, which is a function of x.
00:08
This is equal to the selling price per gram, which is $600, multiplied by the number of grams, which is x.
00:21
Okay, now let's find an equation for the cost, c of x.
00:27
This is equal to the fixed cost, which is $20 ,000, plus the variable cost, which is the amount that he pays for the perfume, which is $20 per gram, times the number of grams, which is x.
00:49
And then also we have another variable cost due to transportation.
00:56
I'm going to write this on on the side.
00:58
So that is $30 per 100 grams.
01:07
And to calculate the cost, we'll multiply by the number of grams, which is x grams.
01:12
Okay, so we see that units of grams cancel, so we're left with units of dollars.
01:17
And we can simplify this.
01:20
30 divided by 100 is 3 tenths, so we have 3 tenths x dollars.
01:28
Okay, so that's the other variable cost...