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.
- 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
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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
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Determine the change in output:
- Change in Output = 6,000 units - 5,000 units = 1,000 units
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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.