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A car rental agency rents 420 cars per day at a rate of ​$20 per day....

A car rental agency rents 420 cars per day at a rate of ​$20 per day. For each ​$1 increase in​ rate, 10 fewer cars are rented. At what rate should the cars be rented to produce the maximum​ income? What is the maximum​ income?

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