A firm has the following short-run total cost (STC) function: STC = $1,000 + 240Q – 4Q2 + (1/3)Q3 Write equations for the firm’s short-run marginal cost (SMC), average variable cost (AVC), and short-run average cost (SAC). Determine the output level at which SMC will be minimised. Determine the output level at which AVC will be minimised.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter7: Production Economics
Section: Chapter Questions
Problem 6E
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A firm has the following short-run total cost (STC) function:

STC = $1,000 + 240Q – 4Q2 + (1/3)Q3

  1. Write equations for the firm’s short-run marginal cost (SMC), average variable cost (AVC), and short-run average cost (SAC).
  2. Determine the output level at which SMC will be minimised.
  3. Determine the output level at which AVC will be minimised.
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