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1. At the OVO Festival, a ticket price of $50 typically attracts 5000 mans. But Aubrey needs a new chromed-out Murcielago, so he has decided to raise ticket prices. For each $2 increase in the ticket price, 100 fewer mans will reach and for each $2 decrease 100 more mans will reach. The venue needs at least 2500 people to put on a show and cannot have more than 7000 people. Moreover, the promoters need to spend approximately $5.25 in advertising per mans. Find the maximum possible profit and the ticket price that maximizes the profit. [6]