Relation between average cost and marginal cost

There is an important relation between the average cost and marginal cost curves. The relation is shown in table and in graph.

Tabular representation
Units of Output
Total Cost
Marginal Cost
Average cost
AC = TC / Q
0
1
2
3
4
5
6
7
8
10
20
28
34
38
42
48
56
72
-
10
8
6
4
4
6
8
16
20
14
11.3
9.5
8.4
8
8
9

Graphical representation
average cost
average cost
From the above table and graph following observations can be made between AC and MC
1) When AC falls, MC is lower than AC:
When MC is less than AC, AC falls with increase in output.
In the above table AC is falling till it becomes Rs. 8, and MC remains less than Rs. 8.
In the above graph, AC is falling till point E, and MC continues o be lower than AC.
In this case, MC falls more rapidly than the AC. That is why when MC curve is falling; it is below the AC curve.

2) When AC rises, MC is greater than AC :
When AC starts rising, MC is greater than AC.
In the above table, when AC rises from Rs. 8 to Rs. 9, MC rises from Rs. 8 to Rs. 16.
In the above graph, AC starts rising from point E.
And beyond E, MC is higher than AC.

3) MC cuts AC at its lowest point:
When AC is minimum then MC = AC.
In the above table, at the 7th unit, AC is minimum, i.e., Rs. 8. The MC is also Rs. 8
In the above graph, MC curve is intersecting AC curve at its minimum point E.

Conclusion:
a) When AC is falling
MC < AC
b) When AC is rising
MC > AC
c) When AC is constant (as at point E)
MC = AC
d) MC is always to the left of AC, and cuts AC from its lowest point

Relation between TC and MC curve

From the below graph following observations can be made between TC and MC

marginal cost
marginal cost
1) Up to point  Q, TC is increasing at a decreasing rate, because MC is decreasing.
2) Beyond point Q, TC is increasing at a increasing rate, because MC is increasing.
3) At point Q, TC stops increasing at a decreasing rate, because MC is minimum(at point R).
4) MC is the rate of TC.
5) The relation between TVC and MC will be the same as between TC and MC, because the difference between TC and TVC is constant  ( equal to fixed cost).

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