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The theater department wants to determine what price to charge for tickets to its next run...

The theater department wants to determine what price to charge for tickets to its next run of “Hamilton”. At a price of $18 per ticket, attendance averages 40,000 people per run. Every decrease of $3 to the ticket price adds 10,000 people to the average attendance. Every person spends an average of $4.50 on concessions. What price per ticket should be charged to maximize revenue? How many people will attend at that price?

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