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Appendix: Completing a Cost Table<br />

Two of the problems in the study guide portion of this chapter require the student to complete a<br />

cost table. The purpose of such an exercise is to help the student better grasp how the different<br />

costs are calculated and how they relate to each other. The steps to completing a cost table will<br />

be illustrated in Example 7 below:<br />

Example 7: The cost table below contains partial information. The table can be completed if the<br />

student understands how the different costs are calculated and how they relate to each other.<br />

Quantity TC MC AFC AVC ATC<br />

0 240 X X X X<br />

1 ____ 60 ____ ____ ____<br />

2 ____ ____ 120 ____ 190<br />

3 480 ____ ____ ____ ____<br />

4 ____ ____ ____ 90 ____<br />

5 ____ 140 ____ ____ ____<br />

6 ____ ____ ____ ____ 150<br />

The first step to completing a cost table is to determine the fixed cost. For the cost table above,<br />

the fixed cost can be determined in one of two ways:<br />

1. The total cost at a quantity of zero is the fixed cost. Any cost incurred at zero output must be<br />

fixed cost, since variable costs can be avoided by not producing. Thus, the fixed cost on this table<br />

is 240.<br />

2. The AFC for two units is given as 120. The formula for computing AFC (AFC = FC ÷ Q) can be<br />

adjusted to solve for FC. The formula would now be FC = AFC x Q. Thus, FC = 120 x 2 = 240.<br />

Once the fixed cost is determined, the average fixed cost for the different quantities can be<br />

calculated using the formula AFC = FC ÷ Q. Thus, AFC for a quantity of one is 240 ÷ 1 = 240.<br />

AFC for a quantity of two is 240 ÷ 2 = 120. AFC for a quantity of three is 240 ÷ 3 = 80, etc. The<br />

table below is updated for the newly calculated AFC numbers.<br />

Quantity TC MC AFC AVC ATC<br />

0 240 X X X X<br />

1 ____ 60 240 ____ ____<br />

2 ____ ____ 120 ____ 190<br />

3 480 ____ 80 ____ ____<br />

4 ____ ____ 60 90 ____<br />

5 ____ 140 48 ____ ____<br />

6 ____ ____ 40 ____ 150<br />

Once AFC has been calculated for each quantity, the table is completed row by row. At a quantity<br />

of one, the marginal cost is 60. Marginal cost is the increase in total cost incurred by producing<br />

one additional unit. So the TC at a quantity of one is the 240 TC at a quantity of zero plus the 60<br />

MC of the first unit equals 300. Once the TC at a quantity of one is computed, the ATC at a<br />

quantity of one can be calculated. ATC = TC ÷ Q or ATC = 300 ÷ 1 = 300. Once the ATC is<br />

calculated, AVC can be calculated. AFC + AVC = ATC. If two of the three averages are known,<br />

the third average can be solved. In this case AFC = 240 and ATC = 300, therefore, AVC must<br />

equal 60.<br />

FOR REVIEW ONLY - NOT FOR DISTRIBUTION<br />

The table on the next page is updated for the newly calculated costs at a quantity of one.<br />

Production and Costs 20 - 6

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