00:01
So you're asked to find equations that show the cost of, or the profit made.
00:10
So the profit equals 3a plus 5b.
00:18
The time we have to make stuff is 30 hours, which if we convert to minutes, is 1 ,800, has to be less, or has to be greater than 12 a plus 25b.
00:47
The time it takes to make both a and b has to be less.
00:53
And then finally we're told that for every five units of a produced, or this would actually be, for every five units of a produced, at least two units of b must be produced.
01:16
It has to be greater than b over two.
01:20
So the way we would solve this graphically, so we would have a, b, 2000.
01:41
Okay, actually we can do 1 ,800 divided by 12, and that should give us our biggest answer.
01:51
So we'll do 150, 50, 100.
02:20
So, 1 ,800 is greater than 12a plus 25b.
02:25
So if we plug in 1 ,800 and we plug in 0 for a, we get greater than 25b.
02:34
So we get, oh, a is, let's switch this.
02:42
So that a is our x and b is our y.
02:46
So we get 0, and then 1 ,800 divided by 25.
02:51
So 7d2.
02:54
And then when we make b is 0, we get 1 ,800 is graded, and 12a, so we get 150 comma 0.
03:05
So we can just plug this in graphically, 150 comma 0, 0, 72, and just.
03:23
And we want this function to be less than.
03:28
So that would be this side of the function.
03:39
So then we have a is 5, b is 2.
03:43
When a equals 0, b equals 0, when equals 50, we would have 50 over 5 is less than b over 2...