Average total cost (ATC) is total cost incurred per unit of output, and is sometimes termed unit cost, or simplified to average cost.
Average costs equal total costs divided by output (TC/q).
Total costs are composed of fixed and variable costs, so average total cost (ATC) equals average fixed cost (AFC) plus average variable cost (AVC). After the cost data for excavating various amounts of earth have been collected, computing each type of average cost only requires dividing each by the output level.
Average fixed cost (AFC) is the fixed cost per unit of output, or (TFC/q).
Average variable cost (AVC) is the variable cost per unit, or (TVC/q).
The table below lists these costs for a hypothetical sand-and-gravel operation. Let's explore all these averages in more detail to see how they are typically related to production.
Average Total Costs, Average Fixed Costs, Average Variable Costs, and Marginal Cost |
(1)
Workers Per 8-hr Shift
(L) |
(2)
Tons of Sand and Gravel Removed Daily
(q) |
(3)
Total Variable Cost ($)
(w´L)
(TVC) |
(4)
Total Fixed Cost ($)
(TFC) |
(5)
Average Variable Cost ($) (3)/(2)
(AVC) |
(6)
Average Fixed Cost ($)
(4)/(2)
(AFC) |
(7)
Average Total Cost ($)
(5)+(6)
(ATC) |
(8)
Marginal Cost ($)
(D3)/(D2)
(MC) |
0 |
0 |
0 |
$100 |
--- |
--- |
--- |
--- |
1 |
10 |
50 |
100 |
5.00 |
10.00 |
15.00 |
5.00 |
|
2 |
22 |
100 |
100 |
4.54 |
4.55 |
9.09 |
4.17 |
|
3 |
36 |
150 |
100 |
4.17 |
2.78 |
6.95 |
3.57 |
|
4 |
52 |
200 |
100 |
3.85 |
1.92 |
5.77 |
3.13 |
|
5 |
70 |
250 |
100 |
3.57 |
1.43 |
5.00 |
2.78 |
|
6 |
86 |
300 |
100 |
3.49 |
1.16 |
4.65 |
3.13 |
|
7 |
100 |
350 |
100 |
3.50 |
1.00 |
4.50 |
3.57 |
|
8 |
112 |
400 |
100 |
3.57 |
0.89 |
4.46 |
4.17 |
|
9 |
122 |
450 |
100 |
3.69 |
0.82 |
4.51 |
5.00 |
|
10 |
130 |
500 |
100 |
3.85 |
0.77 |
4.62 |
6.25 |
|
11 |
137 |
550 |
100 |
4.01 |
0.73 |
4.74 |
7.14 |
|
12 |
143 |
600 |
100 |
4.20 |
0.70 |
4.90 |
8.33 |
|
13 |
148 |
650 |
100 |
4.39 |
0.68 |
5.07 |
10.00 |
|
14 |
152 |
700 |
100 |
4.60 |
0.66 |
5.26 |
12.50 |
|
15 |
155 |
750 |
100 |
4.84 |
0.65 |
5.49 |
16.67 |
|
16 |
157 |
800 |
100 |
5.10 |
0.64 |
5.74 |
25.00 |
|
17 |
158 |
850 |
100 |
5.38 |
0.63 |
6.01 |
50.00 |
|
18 |
158 |
900 |
100 |
5.69 |
0.63 |
6.32 |
--- |
|
19 |
157 |
950 |
100 |
6.05 |
0.64 |
6.69 |
--- |
|
Average Fixed Costs
Just because total fixed costs do not vary with output does not make an AFC curve horizontal. AFC = TFC/q, where TFC is constant. The figure below shows how the AFC is related to the output of your operation, calculated in column 6 of the table. Total fixed costs are constant, so, as output increases, fixed costs per unit of output decline – a process that many managers describe as "spreading overhead" through high volume.
Managers can control variable costs by changing the level of output. As output grows, the AVC initially tends to fall. But eventually, diminishing marginal returns will drive up average variable costs. Seeing why this occurs requires understanding a bit about marginal cost, which is the most important cost concept of all for business decision making.
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