AudioPlus buys the rights to be the only streaming platform to play music from a popular artist. AudioPlus pays $400,000 a year for this artist and the marginal cost of providing this artist's music is zero. AudioPlus' economist realizes they have two groups of customers: the 6,000 hard-core fans of this artist who will pay up to $400 a year to be able to listen to this artist's music; and the 80,000 casual music fans who will pay up to $40 a year to listen to this artist's music. If AudioPlus can price discriminate, what is its maximum profit? Type your numeric answer and submit