A bakery in the seaside resort town of Malvino sells freshly baked bread to two categories of consumers: residents of the town and tourists. The weekly demand from tourists is given by the following demand function for prices between 0 and 5:

Q_xt^d = 600 120P_xt

The weekly demand from locals is given by the following demand function for prices between 0 and 3:

Q_xl^d = 540 180P_xl

The bakery's total cost function is:

TC=1.20Q

What is the total profit when profit maximized?