00:01
Now, the inverse market demand for deodorants is given as pd equal to 180 minus twice q, where pd is a price consumers are willing to pay, where market quantity is q.
00:16
Q is the market quantity.
00:18
Then we have to draw the graph.
00:22
First, we will find the values, then we will draw the graph for a part.
00:27
First, to calculate pd, we will find mpd, it is equal to 180 minus twice q which is equal to p.
00:38
So, mpc it is equal to twice of q.
00:42
So, our mec will be equal to q.
00:47
These are the given parts to us in the part of a given question.
00:54
After that, we will find the market equilibrium.
00:58
At market equilibrium, this mpb is equal to the mpc.
01:05
That means these two quantities are equal.
01:08
Therefore, mpb is nothing but 180 minus twice q.
01:12
It is equal to mpc which is equal to twice q.
01:16
So, 180 is equal to the 4q.
01:19
Therefore, q is equal to 180 divided by 4 and this value is nothing but equal to 45.
01:26
Let us denote this value as q star and it is equal to 45.
01:31
This is the first value we are finding here for the graph.
01:35
After that, now substituting this value of q in this equation and we get here the p.
01:41
So, p is equal to 180 minus twice q and q is equal to here suppose denotation is q star.
01:50
So, it is equal to 180 minus 2 into q value we have find as 45.
01:55
So, it is 180 minus 45 which are 90.
02:00
So, 180 minus 90 is 90.
02:02
Therefore, this p is equal to 90 and let us suppose denotes is the p star.
02:08
So, our p star is 90 here.
02:11
After that, now our msc is nothing but equal to mpc plus meq.
02:20
These are the notations which are given in a question.
02:24
This is equal to twice q plus q.
02:28
This is equal to thrice q.
02:30
These values are substituted from the given part of a question.
02:34
So, this is thrice q.
02:36
So, social optimal output will be 180 minus twice q.
02:43
It is equal to thrice q.
02:45
This twice q will shift on rhs side.
02:48
So, 180 will be equal to thrice q plus twice q that is 5 times of q.
02:53
Therefore, this q will be equal to 180 divided by 5.
02:59
Then, so the value for this is 36...