Long run cost

Intros
Lessons
  1. Long-Run Production Function
    • Both labour and capital vary
    • Table for Production Function
    • Diminishing returns of marginal product of labour
    • Diminishing returns of marginal product of capital
  2. Short-Run Costs & Total Average Costs
    • All ATC curves are U-shaped
    • More machines = bigger output at minimum average cost
    • Planned output \, \, find the lowest possible cost
  3. Long-Run Average Cost
    • LRAC: Long Run Average Cost
    • Lowest attainable cost across all ATC curves
    • What it looks like
  4. Economies & Diseconomies of Scale
    • Economies of Scale: \downarrow average cost as output \uparrow , falling LRAC
    • Diseconomies of Scale: \uparrow average cost as output \uparrow , rising LRAC
    • Constant Returns to Scale: average cost unchanged as output \uparrow , horizontal LRAC
    • Minimum Efficient Scale
Examples
Lessons
  1. Finding the Average Total Costs
    Suppose the cost of each machine is $50, and the cost of each worker per week is $50. Using the following table to calculate and graph the ATC curves for factories 1 and 2.

    Labour (workers per week)

    Output (Clothes per week)

    Factory 1

    (1 machine)

    Factory 2

    (2 machines)

    Factory 3

    (3 machines)

    Factory 4

    (4 machines)

    1

    10

    30

    45

    55

    2

    30

    50

    65

    75

    3

    45

    65

    80

    90

    4

    55

    75

    90

    100

    5

    60

    80

    95

    105

  2. Suppose the cost of each machine is $50, and the cost of each worker per week is $50. Using the following table to calculate and graph the ATC curves for factories 3 and 4.

    Labour (workers per week)

    Output (Clothes per week)

    Factory 1

    (1 machine)

    Factory 2

    (2 machines)

    Factory 3

    (3 machines)

    Factory 4

    (4 machines)

    1

    10

    30

    45

    55

    2

    30

    50

    65

    75

    3

    45

    65

    80

    90

    4

    55

    75

    90

    100

    5

    60

    80

    95

    105

  3. Understanding the Long-Run Cost Curve
    Suppose you are given 4 ATC curves on the following graph.
    Long run cost curve
    1. Draw the LRAC.
    2. For what output does the minimum efficient scale happen?
    3. Identify the regions with economies of scale, economies of descale.
  4. Suppose you are given 4 ATC curves on the following graph.
    Long run cost curve
    1. Draw the LRAC.
    2. For what output does the minimum efficient scale happen?
    3. Identify the regions with economies of scale, economies of descale.