00:01
So here we're talking about monopoly, right? we know that average cost is equal to marginal cost is equal to five.
00:08
We know that quantity is equal to 53 minus p.
00:11
We're given the marginal revenue curve, which is 53 minus 2q.
00:16
That's wonderful, right? we don't need to derive that.
00:19
If i plot this market, quantity and price, we have the demand curve is starting at 53 and sloping down.
00:28
The marginal revenue curve is also starting at 53 and sloping down twice as fast.
00:35
The marginal cost curve is at five.
00:38
So the monopolist wants to equate marginal revenue and marginal cost, right? that's the relevant goal.
00:46
So for a, the monopolist wants to set marginal revenue equals to marginal cost.
00:52
This gives me 53 minus 2q is equal to 5.
00:57
This gives me 48 is equal to 2q, q is equal to 24, and that gives me price is equal to 53 minus 24, which is equal to 29.
01:10
So the price is 29 when the monopolist produces 24 units.
01:16
The consumer surplus is going to be this triangle up here.
01:27
Triangles are just a half times the base times the height.
01:32
So we have a half...