Questions: Calculate the average variable cost (AVC), average total cost and average fixed cost (AFC) for a quantity of 3 cars and a quantity of 8 cars. Round your answer to the nearest whole dollar.

Calculate the average variable cost (AVC), average total cost and average fixed cost (AFC) for a quantity of 3 cars and a quantity of 8 cars. Round your answer to the nearest whole dollar.
Transcript text: Calculate the average variable cost (AVC), average total cost and average fixed cost (AFC) for a quantity of 3 cars and a quantity of 8 cars. Round your answer to the nearest whole dollar.
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Solution

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To calculate the average variable cost (AVC), average total cost (ATC), and average fixed cost (AFC) for producing 3 and 8 cars, we need to follow these steps:

Definitions:
  • Total Cost (TC): The total cost of production, which includes both fixed and variable costs.
  • Fixed Cost (FC): The cost that does not change with the level of output. From the table, the fixed cost is the total cost when the quantity is zero, which is $500,000.
  • Variable Cost (VC): The cost that changes with the level of output. It can be calculated as TC - FC.
  • Average Variable Cost (AVC): VC divided by the quantity of output.
  • Average Total Cost (ATC): TC divided by the quantity of output.
  • Average Fixed Cost (AFC): FC divided by the quantity of output.
Calculations for 3 Cars:
  1. Total Cost (TC) for 3 cars: $570,000
  2. Fixed Cost (FC): $500,000
  3. Variable Cost (VC) for 3 cars: $570,000 - $500,000 = $70,000
  4. Average Variable Cost (AVC): $70,000 / 3 = $23,333 (rounded to the nearest whole dollar)
  5. Average Total Cost (ATC): $570,000 / 3 = $190,000
  6. Average Fixed Cost (AFC): $500,000 / 3 = $166,667 (rounded to the nearest whole dollar)
Calculations for 8 Cars:
  1. Total Cost (TC) for 8 cars: $800,000
  2. Fixed Cost (FC): $500,000
  3. Variable Cost (VC) for 8 cars: $800,000 - $500,000 = $300,000
  4. Average Variable Cost (AVC): $300,000 / 8 = $37,500
  5. Average Total Cost (ATC): $800,000 / 8 = $100,000
  6. Average Fixed Cost (AFC): $500,000 / 8 = $62,500
Summary:
  • For 3 cars:

    • AVC: $23,333
    • ATC: $190,000
    • AFC: $166,667
  • For 8 cars:

    • AVC: $37,500
    • ATC: $100,000
    • AFC: $62,500

These calculations provide the average costs associated with producing 3 and 8 cars based on the given total cost data.

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