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In: Economics

A​ T-shirt manufacturer is planning to expand its workforce. It estimates that the number of​ T-shirts...

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)equalsnegative 0.25 x Superscript 4 Baseline plus 8 x cubed​, 0less than or equalsxless than or equals24. 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 Upper T prime on the same coordinate system.

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