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19. Suppose the rate of change of production of a regular worker at a factory is given by dp = 27+24t -3t2 dt where

19. Suppose the rate of change of production of a regular worker at a factory is given by dp = 27+24t -3t2 dt where p is the is the number of units the worker produces in t hours. Also, after 2 hours, 90 units will have been produced. What is the original production function (with the appropriate value of +C)? (15 pts)

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