Penn State's soccer team will be playing against Samford next month. The stadiums capacity is 18,000. The policy indicates that at least 30% have to be student tickets and the remaining general public tickets. It costs $0.35 per ticket to advertise the game to the students and $0.50 per ticket to advertise to the public. The advertising budget for this game is $2,500. Ticket unit prices are as follows: $5 for students, $10 for the general public.

Formulate the mathematical model that maximizes the total profit. The numbers of student and general public tickets to be sold are whole numbers.