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Question
Microeconomics
Posted 7 months ago

pre Cracuius proauces and sells pies. Its total cost of producing different quantities of pie are given in the table below.
\begin{tabular}{ll} 
Quantity of pies & Total cost \\
\hline 0 & $400\$ 400 \\
1 & $420\$ 420 \\
2 & $435\$ 435 \\
3 & $455\$ 455 \\
4 & $480\$ 480 \\
5 & $510\$ 510 \\
6 & $545\$ 545
\end{tabular}

What is the average variable cost of the fourth pie?

Choose 1 answer:
(A) $120\$ 120
(B) $20\$ 20
(C) $30\$ 30
(D) $25\$ 25
(E) $15\$ 15
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Answer from Sia
Posted 7 months ago
Solution
a
Definition of Average Variable Cost (AVC): The average variable cost is calculated by dividing the total variable cost (TVC) by the quantity of output produced
b
Calculation of Total Variable Cost (TVC): The total variable cost can be found by subtracting the total fixed cost (TFC) from the total cost (TC). Given that the total cost of producing 0 pies is $400, this is the total fixed cost
c
Calculation of TVC for 4 pies: TVC for 4 pies = TC for 4 pies - TFC = 480480 - 400 = $80
d
Calculation of AVC for 4 pies: AVC = \frac{TVC}{Q} = \frac{80}{4} = $20
Answer
(B) $20
Key Concept
Average Variable Cost (AVC)
Explanation
The average variable cost is calculated by dividing the total variable cost by the quantity of output produced. In this case, the total variable cost for producing 4 pies is 80,andthequantityis4,resultinginanaveragevariablecostof80, and the quantity is 4, resulting in an average variable cost of 20 per pie.

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