Q. Total consumers can be divided into Group A and Group B, and it is assumed that a monopoly company makes third-degree price discrimination. The demand function of each group and the cost function...

Q. Total consumers can be divided into Group A and Group B, and it is assumed that a monopoly company makes third-degree price discrimination. The demand function of each group and the cost function of the company are as follows.

QA = 10-PA, QB = 12-2 PB, C(Q) = Q2

(1) Find the third-order price discrimination price that maximizes the profit of the company.

(2) Assume that price discrimination between groups is prohibited by law. Find the maximum profit price.