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A car rental agency rents 480 cars per day at a rate of $40 per day. For each $1 increase in rate, 10 fewer cars

A car rental agency rents 480 cars per day at a rate of $40 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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