Evaluating a Productivity Claim
An individual's daily production of an output (y) is related to their hours of free time (t) in a 24-hour day by the function y = 2√(2(24−t)). The individual makes the following claim: "The amount of extra output I get by working one more hour is always the same, regardless of how many hours I'm already working."
Based on the provided function, evaluate the correctness of this claim. Justify your conclusion by calculating and comparing the gain in output from reducing free time from 16 to 15 hours with the gain from reducing free time from 8 to 7 hours.
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Introduction to Microeconomics Course
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