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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?

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Let x be the number of people attends.

Let the revenue be y.

Let the initial revenue when 120 people attend is 30*120 = 3600

y= people attend * price

y= (120+x)*(30- 1.5*(x/10)]

y= ...

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