00:01
Here in this question the revenue function and the total cost function is given.
00:05
So, the first part is we have to find the quantity that maximize profit.
00:15
So, this is the thing we have to find that is p of q equal to r of q minus c of q.
00:24
So, 600 q minus 2 q square minus 120 minus 60 q.
00:31
So, we will be having minus 2 q square next 600 q minus 600 minus 60 is 540 q minus 120.
00:47
So, this is the p of q for maximum profit we will be having p dash of q equal to 0.
00:58
So, we find p dash of q, p dash of q will be minus 2 into 2 q plus 540 into 1 minus 0.
01:08
So, this gives you minus 4 q plus 540 this is p dash of.
01:19
So, equating p dash of q equal to 0.
01:23
So, this implies minus 4 q plus 540 equal to 0...