0:00
A few different parts here.
00:01
Let's get right to it.
00:02
It was the increase in average cost per widget.
00:05
Well, we can see $4 .55 per or $4 .90 .8 per.
00:12
So you do well subtraction and you will see what that difference is, which it looks like is $43.
00:22
So $43 was the difference in cost per widget from that kind of increase in price.
00:29
And so before, so we're looking at that first equation, they were sold for $8 each, which means we take our equation, i'll do it here where i have some rims for our equation, actually i'm not going to write e, you'll see why in a bit.
00:43
$4 .55, $4 .55 cents per widget plus $69 ,000.
00:51
This is the amount of money spent.
00:53
So the break -even point will be, if i spend $8 per widget and multiply that by the quantity, this is the amount earned, and all this over here is the amount spent.
01:04
So we need to find when those two things are equal.
01:06
So now we do our algebra.
01:08
Let's subtract 4 .55 from, or a q, 4 .555q from both sides of the equation, eliminating it over here and isolating the q over there.
01:18
Leaving us with 3 .45q equal to 69 ,000.
01:25
One more step.
01:27
Let's divide by 3 .45 on those sides of the equation.
01:33
And if i divide 69 ,000 by 3 .45, i kind of ran out of room, but i'll just say this.
01:38
The quantity is 20 ,000.
01:41
Now, that's actually not just it.
01:44
So i'll write first of all that answer here.
01:45
So it's super, super clear.
01:48
If it was $8 each, you actually have to also multiply that times 8.
01:52
So 20 ,000 widgets, or if i multiply that by $160 ,000 earned.
02:00
So those are both really part of that answer...