00:01
Hello, so for part a.
00:02
So in a perfectly competitive market, firms are going to produce where p is equal to mc.
00:09
So here we have that 80 minus q is equal to q.
00:13
So we have 80 is equal to 2 cube, giving us that q is equal to 40.
00:20
So we have the competitive quantity is going to be 40, and we have the competitive price is going to be 80 minus 40.
00:30
Which is also going to be equal to 40.
00:34
And then for b, so consumer surplus and producer surplus.
00:40
So consumer surplus would be the area of the triangle above price up to demand, and producer surplus is the area below the price and above mc.
00:51
So since mc is q, and the total cost is the integral of q from 0 to 40, we have the total cost would be the integral.
01:01
So the total, well, revenue is 40 times 40 to 1 ,600, and then the total cost would be the integral from 0 to 40 of qdq...