A small company of science writers found that its rate of profit (in thousands of döllars) after t years of operation is given by the function below P'(t) = (7t + 7) (P + 2t + 2) a. Find the total profit in the first three years. b. Find the profit in the fourth year of operation. c. What is happening to the annual profit over the long run? C a. The profit in the first three years is S (Round to the nearest dollar as needed.)

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