0:00
Let's go over this question.
00:10
So we have our demand curve, marginal revenue, and our marginal cost.
00:24
So in order to maximize profit, the monopolist will produce at the output where marginal cost is equal to marginal revenue.
00:38
Then we need a deadweight loss.
00:40
So the price charge is going to be based off of the demand curve at this quantity.
00:50
The deadweight loss is represented by the area of this triangle.
00:53
So from this, we will see that we need the price where marginal cost is equal to marginal revenue, the price that is charged by the monopolist based off of the demand curve, the quantity that maximizes profit, and the quantity where marginal cost is equal to demand.
01:26
So let's go ahead and set marginal cost equal to marginal revenue.
01:34
Now we're going to solve for q.
01:56
So we find that this is equal to 30.
02:21
So now that we have the quantity, let's find the price that is going to be where marginal cost is equal to marginal revenue.
02:32
So plug in the quantity into either of these equations to find the price.
02:40
So we find that this price is 60...