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A company buys a new device for $2,500. She estimates that the rate of change of her income R is given by / =100(183) and

A company buys a new device for $2,500. She estimates that the rate of change of her income R is given by

/ =100(183)

and that the rate of change of her cost is given by

/ =100(2+)

where is in months, and and are expressed in dollars.

Determine the maximum profit made from the purchase of this new device.

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