Farming—Crop Profits: The Duncan Peach Farm has started a new quality control program to i...

Farming—Crop Profits: The Duncan Peach Farm has started a new quality control program to improve the quality of their product over several years. Their records show that the annual profit follows the function

where t represents the time since the program took effect, and P(t) represents the profit, measured in thousands of dollars.

(a) Determine the annual profits three years after the quality control program started.

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(b) Evaluate and interpret .