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Economics20805 marksNumerical: cost curves computationCost schedule computations

Cost Schedule Analysis Consider the following cost schedule: a) At TFC = 120, compute TC, AFC, AVC, and ATC. | Output | TVC | TC | AFC | AVC | ATC | |--------|-----|-----|-----|-----|-----| | 0 | 0 | 120 | - | - | - | | 1 | 50 | 170 | 120 | 50 | 170 | | 2 | 90 | 210 | 60 | 45 | 105 | | 3 | 120 | 240

Cost Schedule Analysis

Consider the following cost schedule:

a) At TFC = 120, compute TC, AFC, AVC, and ATC.

OutputTVCTCAFCAVCATC
00120---
15017012050170
2902106045105
3120240404080
4140260303565
5175295243559
62303502038.3358.33
731043017.1444.2961.43

b) Draw the graph of AFC, AVC, and ATC.

[Graph showing three curves:

  • AFC (Average Fixed Cost): downward sloping hyperbola approaching zero
  • AVC (Average Variable Cost): U-shaped curve with minimum around output 3-4
  • ATC (Average Total Cost): U-shaped curve with minimum around output 5-6, always above AVC by the distance of AFC]

[5]

  • TFC = 120 (constant across all output levels) - Output: 0, 1, 2, 3, 4, 5, 6, 7 - TVC: 0, 50, 90, 120, 140, 175, 230, 310 Formulas: - $TC = TFC + TVC$ - $AFC = TFC / Q$ - $AVC = TVC / Q$ - $ATC = TC / Q = AFC + AVC$ Computation table: Q TVC TC = 120+TVC AFC = 120/Q AVC = TVC/Q ATC = TC/Q -------...
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