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PRODUCTION: POINT OF DIMINISHING RETURNS: A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts produced by hiring

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PRODUCTION: POINT OF DIMINISHING RETURNS: 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+ 5x3 0x15 a.) When is the rate of change of T-shirt production increasing and when is it decreasing? b.) What is the point of diminishing returns and the maximum rate of change of T-shirt production? c.) Sketch a graph of T and T' on the same coordinate system Show all work for full credit. Please circle your final answer and label each part (a, b, c). Work must be hand- written (not typed) and legible. Scan using your phone and submit a single file as a pdf for grading.

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