00:01
All right, this is number 67.
00:03
On number 67, they give us a cost and a revenue, right? so we can set those equal to each other as the short of it.
00:13
First of all, you write your first equation based on the fact that you've got the cost per unit times the number of units.
00:19
That's our c, right? so that's what they've given us with this right here.
00:23
And then you add that $25 ,000 investment to the costs because you have to pay that back, right? okay.
00:29
And then the revenue is just $16 .995 times however many you sell.
00:34
So we can go ahead and write our equation by making that those two sides equal to each other.
00:41
Okay? and then when they are equal, we'll know that our x is the intersection point.
00:45
This also prevents the x equals zero scenarios and happening.
00:49
So this is a great way to write it.
00:51
So we have 6995 x equals 45 .2.
01:02
5x plus that $25 ,000.
01:06
Okay, so we're setting these two things equal each other and we solve for x.
01:11
So when we solve for x, we come up with the following.
01:16
I already did it on a calculator.
01:18
So we've got x equals 1 ,012 .14...