Texts: 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) = -0.25𝑥^4 + 6𝑥^3 + 200𝑥, 0 ≤ 𝑥 ≤ 18. (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) Write a brief interpretation of this result using the read and understand part.
Added by Hugo W.
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Step 1: To determine when the rate of change of T-shirt production is increasing or decreasing, we need to find the derivative of the T(x) function. Show more…
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