00:01
Ok, so let's get started with part a of our exercise.
00:05
Here we need to find the quantity and the price maximizing the profit.
00:10
Well, this is pretty easy because we know that we just need to find the only zero, so we need to find the only zero of the marginal profit.
00:34
Ok, now we know that the marginal profit is equal to the marginal revenue minus the marginal cost, and this guy here is equal to zero if and only if the marginal revenue is equal to the marginal cost.
00:51
And we can see that the marginal revenue is equal to the marginal cost at the point 60, the quantity, comma 3, the price, 3 dollars.
01:06
Ok, now b.
01:08
Here we need to find the profit.
01:11
We need to find the profit at 60.
01:17
Ok, now what is the profit? the profit is the revenue minus the cost function.
01:29
Ok, now the revenue is equal to what? the revenue is equal to quantity multiplied by demand.
01:40
Our cost is equal to quantity multiplied by the average total cost.
01:52
Perfect.
01:54
Ok, now let's compute d of 60.
01:59
What is d of 60? it's 6...