AVERAGE PRODUCTIVITY The output Q at a certain factory is a function of the number L of worker-hours of labor that are used. Use calculus to prove that when the average output per worker-hour is greatest, the average output is equal to the marginal output per worker-hour. You may assume without proof that the critical point of the average output function is actually the desired absolute maximum. [Hint:The marginal output per worker-hour is the derivative of output Q with respect to labor L.]
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