00:01
If the domain function for commodity is given by p squared plus 12 k2 equals 1 ,400, and the supply function is given by 900 minus p squared plus 14q equals zero, find the equilibrium quantity and equilibrium price.
00:18
So basically we need to know what works for p and q at the same time.
00:23
So i'm going to come over here and take this second equation and modify it.
00:27
I'm going to take p squared, move it to the right.
00:30
So i'm going to have 900 plus 14q equals p squared.
00:36
That means that both 900 plus 14q and, well, let me do the same thing over here, p squared equals 1 ,400 minus 12 cube, and this expression equal p squared.
00:52
So they're going to equal each other.
00:54
So 1 ,400 minus 12q equals 900 plus 1400 plus 14q.
01:00
Let's solve this.
01:02
I'm going to add 12 q.
01:06
1 ,400 equals 900 plus 26 cube, subtract 900.
01:16
I'm going to get 500 equals to 26 cube...