A dance company will appear at Rutgers University. According to school policy, no more than 2000 general admission tickets can be sold and no more than 4000 student tickets
can be sold. It costs $0.50 per ticket to advertise the dance company to the students and
$1 per ticket to advertise to the general public. The dance company can spend at most
$3000 for this show. The company charges $4 for a student ticket and $7 for a general
admission ticket. How many student and general admission tickets should they try and
sell to maximize profit? What is this profit?
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