a) Use the data in the table and calculate the average costs and the marginal cost
Output(units) |
Total cost |
AFC |
AVC |
ATC |
MC |
0 |
$400 |
||||
10 |
540 |
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20 |
620 |
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30 |
810 |
||||
40 |
910 |
b) Discuss the relationship between ATC and MC. Also draw a graph showing both curves.
A)
Output | total cost | total fixed cost (TFC) | total variable cost (TVC) |
average fixed cost(AFC) |
average variable cost(AVC) | average total cost(ATC) | marginal cost(MC) |
0 | 400 | 400 | 0 | ----- | ------- | ----- | ---- |
10 | 540 | 400 | 140 | 40 | 14 | 54 | 140 |
20 | 620 | 400 | 220 | 20 | 11 | 31 | 80 |
30 | 810 | 400 | 410 | 13.33 | 13.66 | 27 | 190 |
40 | 910 | 400 | 510 | 10 | 12.75 | 22.75 | 100 |
To find AFC and AVC we first need to find the TFC and TVC.
1) Total Fixed cost at 0 output is 400. So FC for every level will be 400.
2)Total cost = total fixed cost + total variable cost
Total variable cost= total cost - total fixed cost
Eg - (output 10). Total variable cost= 540-400= 140
3) Average fixed cost = Total fixed cost/output
Eg (output 10). AFC = 400/10 = 40
4) Average variable cost= Total variable cost/ output
Eg(output 10). AVC = 140/10= 14
5) Average total cost= Total cost/ output or AFC + AVC
Eg(output 10). ATC = 540/10 = 54. or. 40+14= 54
6) Marginal cost = Difference of Total cost of 2 levels of output
Eg(output 10) MC = Total cost of output 10 - Total cost of output 0
= 540 - 400= 140
Eg(output 20) MC= TC of output 20 - TC of output 10
= 620-540 = 80.
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