00:01
So here we're given a demand curve.
00:02
We first need to invert it.
00:04
Inverse demand curve means write it in terms of p.
00:07
So i'm going to bring 2 px to the other side and we get this.
00:12
Now i need to divide by 2 and i get px is equal to 200 minus 0 .5 qx, which is my inverse demand curve.
00:21
If i sketch that, this is a market, price and quantity, starts at 200 and goes down at some rate.
00:33
We're now thinking about the consumer surplus when the price is 40, right? so the consumer surplus when the price is 40 is the area above the price and below the demand curve.
00:45
And to calculate the area of the triangle, we need the quantity at the price equals to 40, right? so this is my answer for a, my answer for b.
00:55
Well, i need to figure out whether the quantity, when the price is 40, i'm going to just use the actual demand curve.
01:02
Qx is equal to 400 minus 2 times 40, which is equal to 320, right? so the quantity here is 320, which means the triangle representing consumer surplus is a half.
01:15
The height of the triangle is 200 minus 40...