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Economics · Ch 5 — Cost of Production and Concepts of Revenue

Short-Run Average and Marginal Cost

3

Short-Run Average and Marginal Cost

Average and marginal figures are per-unit measures built from the totals above, and they are what a firm actually compares against price when deciding how much to produce.

Average Fixed Cost (AFC) = TFC/QTFC / Q. Since TFC is a constant being divided by a rising Q, AFC falls continuously as output rises and never reaches zero — its graph is a rectangular hyperbola, always sloping downward, flattening out at high output.

Average Variable Cost (AVC) = TVC/QTVC / Q. AVC first falls (as increasing returns spread the early units of the variable factor efficiently against the fixed plant), reaches a minimum, and then rises (as diminishing returns set in) — a U-shape.

Average Cost (AC) = TC/QTC / Q = AFC+AVCAFC + AVC. AC is also U-shaped, for the combined reasons behind AFC and AVC, though it turns upward slightly later than AVC because a still-falling AFC partly offsets a rising AVC for a while.

Marginal Cost (MC) is the addition to total cost from producing one more unit: MC=ΔTC/ΔQMC = ΔTC / ΔQ. Because TFC does not change with output, this addition comes entirely from the variable cost, so MC=ΔTVC/ΔQMC = ΔTVC / ΔQ as well — both give the same figure, which is a useful cross-check. MC is U-shaped too, falling first and then rising, and it typically turns upward earlier and more sharply than AVC or AC.

Extending the notebook-firm schedule from the previous section (continuing to Q = 7 to show the full pattern):

QTFCTVCTCAFCAVCACMC
160208060.0020.0080.0020
260359530.0017.5047.5015
3604510520.0015.0035.0010
4605211215.0013.0028.007
5606512512.0013.0025.0013
6608414410.0014.0024.0019
7601101708.5715.7124.2926
Definition 1Average Fixed Cost (AFC)

TFC divided by output; continuously falling, ne …

Definition 2Average Variable Cost (AVC)

TVC divided by output; U-sh …

Definition 3Marginal Cost (MC)

The addition to total cost from producing one more unit …