4. If fixed costs are $100 and variable costs are $200 at an output level of 30 units, what are the average fixed costs, average variable costs, and average total costs?
*Please show all work this time.
Quantity |
Fixed Cost |
Total Cost |
Average Fixed Cost |
Average Variable Cost |
Average Total Cost |
Marginal Cost |
10 |
5,000 |
5,500 |
||||
20 |
5,000 |
5,800 |
||||
30 |
5,000 |
6,000 |
||||
40 |
5,000 |
6,100 |
||||
50 |
5,000 |
6,150 |
||||
60 |
5,000 |
6,175 |
Ans.4. fixed costs (FC) $100 and variable costs (VC) $200 at an output level (Q) of 30 units,
Total cost (TC) = FC + VC
TC = $100 + $200
TC = $300
i) Average Fixed Cost (AFC ) = FC /Q
AFC = $100/30
AFC = $3.33
Average Fixed Cost is $3.33.
ii) Average Variable Cost (AVC ) = VC / Q
AVC = $200/30
AVC = $6.67
Average Variable Cost is $6.67.
iii) Average Total Cost (ATC ) = TC/ Q
ATC = $300/30
ATC = $10
Average Total Cost is $10.
Quantity | Fixed Cost | Total Cost | Variable Cost | Average Fixed Cost | Average Variable Cost | Average Total Cost | Marginal Cost |
10 | 5,000 | 5,500 | 500 | 500 | 50 | 550 | 50 |
20 | 5,000 | 5,800 | 800 | 250 | 40 | 290 | 30 |
30 | 5,000 | 6,000 | 1,000 | 166.67 | 33.33 | 200 | 20 |
40 | 5,000 | 6,100 | 1,100 | 125 | 27.50 | 152.50 | 10 |
50 | 5,000 | 6,150 | 1,150 | 100 | 23 | 123 | 5 |
60 | 5,000 | 6,175 | 1,175 | 83.33 | 19.58 | 102.92 | 2.5 |
Working Note:
1) TC = FC + VC
2) VC = TC - FC
3) AFC = FC/Q
4) AVC = VC/Q
5) ATC = TC/Q
6) MC = change in TC/ change in Q
7) At Q = 0, TC = $5,000
4. If fixed costs are $100 and variable costs are $200 at an output level of...
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