6. A cellphone retail store receives a shipment of new cell phones to sell. The profit earned by sellingthe cell phone is modelled by the function P(x) = -5x² + 450x + 1875, where P(x) is the profit and x is the price of the cell phone. Use the appropriate rate of change in profit calculations to show that the maximum profit is reached when the price of the cell phone is $45.

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