Question
If the total cost of producing 20 units of output is $1,000 and the average variable cost is $35, what is the firm's average fixed cost at that level of output? 0, $50, $65 , or $15
Ask by Sherman Bond.
Mar 28,2025 02:25
Upstudy AI Solution
Tutor-Verified Answer
Answer
The firm's average fixed cost is $15.
Solution
We know that the total cost (TC) is the sum of the total variable cost (TVC) and the total fixed cost (TFC). That is,
\[
\text{TC} = \text{TVC} + \text{TFC}
\]
1. Given that the average variable cost (AVC) is \( \$35 \) and the firm produces 20 units of output, the total variable cost is:
\[
\text{TVC} = \text{AVC} \times \text{output} = 35 \times 20 = 700
\]
2. The total fixed cost can be obtained by subtracting the total variable cost from the total cost:
\[
\text{TFC} = \text{TC} - \text{TVC} = 1000 - 700 = 300
\]
3. Finally, the average fixed cost (AFC) is the total fixed cost divided by the number of units produced:
\[
\text{AFC} = \frac{\text{TFC}}{\text{output}} = \frac{300}{20} = 15
\]
Thus, the firm's average fixed cost at 20 units of output is \( \$15 \).
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Simplify this solution Extra Insights
To figure out the average fixed cost (AFC), we first need to understand the relationship between total cost (TC), variable cost (TVC), and fixed cost (TFC). We know that:
\[
TC = TVC + TFC
\]
Given that the total cost of producing 20 units is \$1,000, and the average variable cost (AVC) is \$35, we can first calculate the total variable cost:
\[
TVC = AVC \times Q = 35 \times 20 = \$700
\]
Now that we have TVC, we can find TFC using:
\[
TFC = TC - TVC = 1000 - 700 = \$300
\]
With the total fixed cost determined, we can now find the average fixed cost:
\[
AFC = \frac{TFC}{Q} = \frac{300}{20} = \$15
\]
Therefore, the firm's average fixed cost at that level of output is **\$15**.
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