(Solution Library) A. Consider the following short run cost function: T C=6 Q^3-36 Q^2+24 Q+200 Derive the expressions for marginal cost and average total
Question: A. Consider the following short run cost function:
\[T C=6 Q^{3}-36 Q^{2}+24 Q+200\]Derive the expressions for marginal cost and average total cost. What can we infer about the range of output over which production shows increasing returns to labor and diminishing returns to labor? \((5\) points $)$
B. Consider the following long run cost function:
\[T C=8 Q^{3}-48 Q^{2}+8 Q\]Derive the expressions for marginal cost and average cost. What is the range of output over which production shows increasing returns to scale, and the range of output over which production shows decreasing returns to scale? (5 points)
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