00:01
So first to find our equilibrium price and quantity, we need to set our demand equal to our supply, excuse me, sorry, which is going to give us this.
00:15
Since our market supply is p equals qs, we can substitute this in.
00:21
Simplifying our equation, we're going to get that 8qd is equal to 100qd, which is equal to 12 .5.
00:32
Then we can substitute this back in to our quantity to find our equilibrium price.
00:37
We're going to get that p is equal to 50.
00:40
Therefore, our equilibrium price is $50 and quantity is 12 .5 for part a.
00:51
Then we want to do part b.
00:54
For part b, to find our market of firms in our industry, we need to take our market quantity and divide by our firm level quantity.
01:07
Here we see that we are going to do 12 .5 divided by q.
01:12
We need to figure out, or sorry, for c, to determine if the firm is going to make a profit or a loss.
01:21
We need to compare our market price to our average total cost.
01:25
We can use our formula to calculate our average total cost.
01:30
Our average total cost is going to be equal to 50 over q plus 4 plus 2q.
01:38
Now we can compare the market price of p equals 50 to our average.
01:46
If our p is greater than our average total cost, then we would say that our firm is going to make a profit...