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I have posted a link to this topic so the OP can see my work.Quadratic functions homework help?

A hall charges \$30 per person for a sports banquet when 120 people attend. For every 10 extra people that attend, the hall will decrease the price by \$1.50 per person. What number of people will maximize the revenue for the hall ?

Please answer this question with step by step instructions and explanations thank you