00:01
This question says megadat corporation's pricing analyst is tasked with optimizing software pricing for two client types, type a and type b.
00:10
There are three parts in this question and we will discuss one by one each.
00:17
Now coming to the part a, to maximize profit, we set marginal revenue equal to marginal cost for each type of buyer.
00:26
For type a buyers, inverse demand is equal to pa is equal to 120 minus 10q.
00:40
Mr underscore a is equal to 120 minus 20q, qa, derivative of pa.
00:50
Set mra is equal to mc is equal to 20 to find qa is equal to 5.
00:59
Substitute qa into demand to get pa is equal to 70.
01:04
Now for type b buyers, now in this we have to see inverse demand is equal to b is equal to 62q.
01:21
Mrb is equal to 60 minus 4qb, derivative of pb.
01:34
Now set mrb is equal to mc is equal to 20 to find qb is equal to 10.
01:40
Substitute qb into demand to get pb is equal to 40...