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ID: 3289007 • Letter: #

Question

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A T-shirt manufacturer is planning to expend its workforce. It estimates that the number of T-shirts produced by hiring x new workers is given by T(x) = -0.75x4 + 21x3 0 le x le 21 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 coordinate system. The rate of change of T-shirt production is increasing on . The rate of change of T-shirt producing is decreasing on . 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.

Explanation / Answer

we can find by differentiating the equation