Ononot — A concert promoter calculates that if they charge \50 per ti

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A concert promoter calculates that if they charge $\$ 50 $per ticket, they will sell$ 1,200 $tickets. For every$ $5 $increase in price, they will sell$ 80 $fewer tickets. If the venue costs$ $10,000 $plus$ $2$ per attendee, what ticket price (in dollars) maximizes the promoter's profit?