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Question 14 0/10 pts 9 5 99 0 Details The function f(x) = 2x3 - 27x2 + 84x + 8 has derivative f'(x) = 6x2 - 54x + 84. Find the critical points, then use the second derivative test to determine whether they are a minimum or a maximum. f(x) has a local minimum at a equals with value and a local maximum at a equals with value Question Help: Video Submit Question Question 15 Co/10 pts 9 5 99 0 Details An optimization specialist studied a factory's existing processes and work-flow to implemented new equipment and updated production processes. After the new equipment and processes were in place, he studied the production and modeled the productivity with the following function: P(t) = -2ts + 33t + t, where t is the number of hours worked in a 10-hour shift. Find the point of diminishing returns for this factory. The point of diminishing returns is at t = Hint: the point of diminishing returns is the inflection point Submit