0:00
Hi to everyone.
00:01
So the profit function for each firm is the product of its price.
00:07
So profit 1 p1 -3 .30 into 40 -3 p1 plus p2 profit 2 p2 -3 .30 into 40 -3 p2 plus p1.
00:30
So now differentiate each profit function with respect to its own price.
00:37
So for firm 1, del profit 1 by del profit 1 equals 0.
00:49
So 40 -3 p1 plus p2 minus 3 p1 -3 .30 equals 0.
01:00
So 40 -3 p1 plus p2 minus 3 p1 plus 9 .90 equals 0.
01:10
So it will be 2 p1 equals 49 .90 minus p2.
01:19
Okay, so for firm 2, del profit 2 by del p2 equals 0.
01:32
So here 40 -3 p2 plus p1, sorry, 40 -3 p2 plus p1 minus 3 p2 minus 3 .30 equals 0.
01:47
So 40 -3 p2 plus p1 minus 3 p2 plus 9 .90 equals 0.
01:56
So 2 p2 equals 49 .90 minus p1.
02:00
Okay, so now we can substitute one equation into the other...