Managerial economics, economics, Microeconomics

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Below are the two estimated cost functions. describe what type of data was most likely used to estimate each one and why. Explain which is a short- run function, determine the level of output for which the firm encounters diminishing returns to the variable output; and the output level of minimum average variable cost(AVC). For the long run function, determine the smallest plant size which will minimize cost per unit of output.
a. TC=20,000Q-5000Q +0.0Q
b. TC= 150,000+20,000Q-3500Q+0.05Q

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