00:01
So as we look up this question, it says a farmer has a 1200 acres of land in which he grows corn, wheat, and soybeans.
00:14
So we know the area of land available for those three crops is 1200.
00:25
Sorry about that.
00:28
We know corn costs $45 per acre, wheat is $60, and soybeans cost $50.
00:39
It looks like we have $63 ,600 allocated for the cost of growth.
00:49
We're trying to figure out how many acres of plants needed to be grown.
00:55
Because of market demand, it says the farmer will grow twice as many acres of wheat as corn.
01:04
So keep in mind as we look at corn and wheat, we know that there's twice as many acres of wheat as corn.
01:13
So this is the bigger number.
01:15
So if i multiply the smaller number by two and subtract them, i should wind up with zero.
01:22
At this stage, we have a system of equations.
01:26
We can go ahead and solve whichever way we'd like.
01:29
I would probably use linear combination because notice there's no s in this situation.
01:38
So i'm going to take this top equation, and i'm going to multiply it by negative 50.
01:43
To get rid of the s, we can combine that with our second equation, and then solve from there.
01:53
So we'd have negative 50c plus 45c is going to be negative 5c.
01:59
Negative 50 plus 60 is going to be plus 10w.
02:08
Negative 50 plus 50 is zero.
02:14
And then 1 ,200 times negative 50 is negative 60 ,000...