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If a total cost curve is plotted, marginal cost can be illustrated by the A. slope of the tangent to the curve B. u-shaped curve cutting the total cost curve at its lowest point C. straight line from the origin to the mid-point of the curve D. straight line cutting the curve at its highest point

Economics

ScanSolve AI Answer

Answer

A

Step-by-step solution

3 steps
  1. Recall the definition of marginal cost.

    Marginal cost (MCMC) is the additional cost of producing one more unit of output, given by

    MC=dTCdQ,MC = \frac{dTC}{dQ},

    where TCTC is total cost and QQ is quantity. This is the slope of the tangent line to the total cost curve at any point QQ.

  2. Identify the graphical representation.

    The slope of the tangent to the TCTC curve directly illustrates MCMC at each output level, matching option A.

  3. Evaluate other options.

    • Option B: The MCMC curve is U-shaped and intersects the average total cost (ATCATC) curve at its minimum, but it does not "cut" the TCTC curve at a lowest point (TCTC has no lowest point beyond Q=0Q=0).
    • Option C: A straight line from the origin to a point (Q,TC)(Q, TC) on the curve has slope TCQ=ATC\frac{TC}{Q} = ATC, not MCMC.
    • Option D: No economic interpretation matches a straight line cutting TCTC at its highest point.

    The correct answer is A.
    A

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