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Question

As output expands, LAC curve falls. This is due to:

The correct answer is

Economies of scale

Understanding the Long-Run Average Cost (LAC) Curve

The question asks why the Long-Run Average Cost (LAC) curve typically falls as a firm's output expands. This relates to how costs behave when a firm changes its scale of production over the long run, where all factors of production are variable.

Analyzing the Options

Let's look at each option to understand its relationship with the LAC curve and output expansion:

  • Law of variable proportions: This law applies in the short run when some factors of production are fixed. It explains why marginal and average product initially rise and then fall as more of a variable input is added to a fixed input. This is related to the Short-Run Average Cost (SAC) curve, not the LAC curve.
  • Law of diminishing returns: This is another name for the law of variable proportions, specifically focusing on the point where adding more of a variable input leads to smaller increases in output. Like the law of variable proportions, it is a short-run concept and doesn't explain the downward slope of the LAC curve.
  • Economies of scale: These occur when a firm increases its scale of operation in the long run and its average cost of production decreases. As output expands, the firm becomes more efficient. This can happen due to various reasons like specialization of labour and machinery, bulk purchasing discounts, better use of large machinery, indivisibility of certain factors, etc. Economies of scale lead to a falling LAC curve.
  • Diseconomies of scale: These occur when a firm expands its scale of operation too much, leading to inefficiencies and an increase in the average cost of production. This happens when the firm becomes too large to manage effectively, communication problems arise, or coordination becomes difficult. Diseconomies of scale cause the LAC curve to rise.

The Role of Economies of Scale

The LAC curve is often U-shaped. The initial downward sloping part of the LAC curve represents the range where the firm experiences economies of scale. As the firm expands its output by increasing its scale of production, the average cost per unit falls. This is the primary reason why the LAC curve falls as output expands.

Once economies of scale are exhausted, the LAC curve might flatten out (constant returns to scale) and eventually start rising due to diseconomies of scale. However, the question specifically asks why the LAC curve falls as output expands, which is attributed to economies of scale.

Comparing Short-Run and Long-Run Costs

It's important to distinguish between short-run and long-run cost concepts:

Feature Short Run Long Run
Factors of Production Some are fixed (e.g., plant size) All are variable
Cost Concepts Fixed Cost, Variable Cost, Total Cost, AFC, AVC, ATC, MC Total Cost, Long-Run Average Cost (LAC), Long-Run Marginal Cost (LMC)
Reasons for Shape Law of variable proportions / diminishing returns Economies and Diseconomies of Scale
Cost Curve Short-Run Average Cost (SAC) is U-shaped due to diminishing returns. Long-Run Average Cost (LAC) is U-shaped due to economies and diseconomies of scale. It is the envelope of all SAC curves.

Since the LAC curve deals with the long run where scale changes, the laws of variable proportions and diminishing returns (short-run concepts) are not the direct cause of the falling LAC curve. Economies of scale, a long-run concept related to changes in scale, are the reason for the falling LAC curve as output expands.

Conclusion

The decrease in the Long-Run Average Cost (LAC) as output expands is a direct result of a firm benefiting from economies of scale. These benefits lead to lower per-unit costs as the firm increases its production scale.

Revision Table: Key Cost Concepts

Concept Description Short/Long Run Impact on Average Cost
Law of Variable Proportions / Diminishing Returns Adding more of a variable input to fixed inputs eventually leads to smaller increases in output. Short Run Causes SAC to rise after a point.
Economies of Scale Average cost falls as the scale of production increases. Long Run Causes LAC to fall as output expands.
Diseconomies of Scale Average cost rises as the scale of production increases. Long Run Causes LAC to rise as output expands beyond a certain point.

Additional Information on Economies of Scale

Economies of scale can arise from various sources. Here are some common types:

  • Technical Economies: Using larger, more efficient machines; specialization of labour; advantages of large-scale production processes.
  • Managerial Economies: Hiring specialized managers for different departments (production, marketing, finance); better organization and coordination.
  • Commercial Economies: Bulk buying of raw materials at discounted prices; lower selling costs per unit due to large sales volume.
  • Financial Economies: Obtaining loans at lower interest rates due to the firm's size and reputation; easier access to capital markets.
  • Risk-Bearing Economies: Diversifying production into different markets or products to spread risks.

These factors collectively contribute to the decrease in average cost as the firm's scale of operation and output increase in the long run, explaining the downward slope of the LAC curve.

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Important Questions from Theory of cost - Teaching

  1. A U - shaped long-run average cost curve is based on the assumptions that

    A. Economies of scale prevails at small levels of output

    B. Diseconomies of scale prevails at larger levels of output

    C. Benefits of the division of labour and specialisation accrue more at the lower scale of production

    D. Managerial inefficiencies are prone to a higher scale of operations

    Choose the correct answer from the options given below:

  2. Given the total cost TC = Q 310Q 2+ 60Q, what will be the minimum average cost? At what level of output will the minimum cost occur? (Q is the level of output)

  3. Given the total revenue function, TR = 1400Q − 6Q 2 and the total cost function, TC = 1500 + 80 Q at Q = 100 units (where Q is the amount of output), which one of the following is correct?

    A. MR > MC

    B. MC = 80

    C. MR < MC

    D. MR = MC

  4. Which of the following are the methods of determining cost behaviour?

    a) High and low point method

    b) Least square regression method

    c) Accounting or analytical approach

    d) Non - parametric method

    Choose the correct answer from the options given below

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