Asked by SS
Use the table to answer the question.
Number of Workers Output (thousands) Fixed Cost ($) Variable Cost ($)
10 3 2000 100
20 5 2000 200
30 6 2000 300
What is the marginal cost of increasing production from 5,000 units to 6,000 units?
(1 point)
Responses
$300
300 dollars
$0.43
0.43 dollars
$100
100 dollars
$0.10
0.10 dollars
Number of Workers Output (thousands) Fixed Cost ($) Variable Cost ($)
10 3 2000 100
20 5 2000 200
30 6 2000 300
What is the marginal cost of increasing production from 5,000 units to 6,000 units?
(1 point)
Responses
$300
300 dollars
$0.43
0.43 dollars
$100
100 dollars
$0.10
0.10 dollars
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To calculate the marginal cost of increasing production from 5,000 units to 6,000 units, we need to find the increase in total cost and the increase in output.
1. **Determine the total cost at each level of output.**
- Total Cost = Fixed Cost + Variable Cost
For 5,000 units (which corresponds to 20 workers and an output of 5,000):
- Fixed Cost = $2000
- Variable Cost = $200
- Total Cost = $2000 + $200 = $2200
For 6,000 units (which corresponds to 30 workers and an output of 6,000):
- Fixed Cost = $2000
- Variable Cost = $300
- Total Cost = $2000 + $300 = $2300
2. **Calculate the change in total cost:**
- Change in Total Cost = Total Cost at 6,000 units - Total Cost at 5,000 units
- Change in Total Cost = $2300 - $2200 = $100
3. **Determine the change in output:**
- Change in Output = 6,000 units - 5,000 units = 1,000 units
4. **Calculate the marginal cost:**
- Marginal Cost = Change in Total Cost / Change in Output
- Marginal Cost = $100 / 1,000 units = $0.10
Therefore, the marginal cost of increasing production from 5,000 units to 6,000 units is **$0.10**.
1. **Determine the total cost at each level of output.**
- Total Cost = Fixed Cost + Variable Cost
For 5,000 units (which corresponds to 20 workers and an output of 5,000):
- Fixed Cost = $2000
- Variable Cost = $200
- Total Cost = $2000 + $200 = $2200
For 6,000 units (which corresponds to 30 workers and an output of 6,000):
- Fixed Cost = $2000
- Variable Cost = $300
- Total Cost = $2000 + $300 = $2300
2. **Calculate the change in total cost:**
- Change in Total Cost = Total Cost at 6,000 units - Total Cost at 5,000 units
- Change in Total Cost = $2300 - $2200 = $100
3. **Determine the change in output:**
- Change in Output = 6,000 units - 5,000 units = 1,000 units
4. **Calculate the marginal cost:**
- Marginal Cost = Change in Total Cost / Change in Output
- Marginal Cost = $100 / 1,000 units = $0.10
Therefore, the marginal cost of increasing production from 5,000 units to 6,000 units is **$0.10**.
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