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A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts produced by hiring x new workers is given by

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A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts produced by hiring x new workers is given by T(x) = - 0.25x4 + 2x3, 0 5 XS 6. When is the rate of change of T-shirt production increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate of change for T-shirt production? Graph T and T' on the same coordinate system. The rate of change of T-shirt production is increasing on (Type your answer in interval notation.) The rate of change of T-shirt production is decreasing on (Type your answer in interval notation.) The point of diminishing returns is x = workers. The maximum rate of change for T-shirt production is T-shirts per worker. Graph T and T' on the same coordinate system. if} A. if} B. ("i C. :"J D. s s a a Q Q Q Q 15 i6 32 32 46 45 46 46 Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the xvalues at which they occur. f(x)=x2-2x-4; [-1,4] The absolute maximum value is at x = . (Use a comma to separate answers as needed.) The absolute minimum value is at X: . (Use a comma to separate answers as needed.)

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