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Costs and economies of scale Simplified Revision Notes

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3.2 Costs and economies of scale

DEFINITIONS:

  1. Fixed Costs: Costs that do not change with the level of output produced.
  2. Variable Costs: Costs that vary directly with the level of output produced.
  3. Total Costs: The sum of fixed and variable costs at any given level of output.
  4. Average Costs: Total costs divided by the quantity of output produced.
  5. Marginal Costs: The additional cost incurred by producing one more unit of output.
  6. Short Run (in terms of fixed and variable factors): A period in which at least one factor of production is fixed and cannot be changed.
  7. Long Run (in terms of fixed and variable factors): A period in which all factors of production are variable and can be adjusted.
  8. The Law of Diminishing Returns: A principle stating that as more of a variable factor is added to a fixed factor, the additional output produced from each additional unit of the variable factor eventually decreases.
  9. Internal Economies of Scale: Cost advantages that a firm can achieve by increasing its scale of production, leading to lower average costs.
  10. External Economies of Scale: Cost advantages that accrue to all firms in an industry as the industry grows, resulting from external factors such as improved infrastructure or a skilled labour pool.
  11. Diseconomies of Scale: The phenomenon where a firm experiences an increase in average costs as its scale of production becomes too large, often due to inefficiencies.
  12. Minimum Efficient Scale: The lowest level of output at which a firm can achieve the lowest possible average costs, exploiting all possible economies of scale.

Explain and calculate:

3.2.1 Fixed, variable, total, average, marginal costs

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Fixed Costs:

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Variable Costs:

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Total Costs:

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Average Costs (also known as Average Total Costs):

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Marginal Costs:

3.2.2 Short run and long run in terms of fixed and variable factors

In economics, the short run and long run are distinguished by the flexibility of production factors:

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  • Short Run: In this period, at least one factor of production is fixed, meaning it cannot be changed. For example, a factory's physical size or the number of machines might be fixed in the short run. Firms can only adjust variable factors, like labour or raw materials, to change output levels.
  • Long Run: In the long run, all factors of production are variable. Firms have the flexibility to adjust all inputs, including both fixed and variable factors. This means they can change the size of the factory, invest in new technology, or alter the number of workers.
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The key difference is that in the short run, firms face constraints due to fixed factors, while in the long run, firms can fully adjust to changes in market conditions.


Explain with the Aid of a Diagram

3.2.3 The Law of Diminishing Returns

Definition:

The law of diminishing returns states that as additional units of a variable factor (e.g., labour) are added to a fixed factor (e.g., capital or land), the marginal product of the variable factor will eventually decrease, holding all other inputs constant.

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Explanation:

  1. Initial Stage: When production starts, adding more units of the variable factor increases total output at an increasing rate because of better utilization of the fixed factors.
  2. Diminishing Returns Stage: After a certain point, adding more units of the variable factor leads to an increase in total output at a decreasing rate. This happens because the fixed factor becomes increasingly overutilized.
  3. Negative Returns Stage: Eventually, adding more units of the variable factor may lead to a decrease in total output if the fixed factors become overly congested.
infoNote

Diagram:

Consider a production process with labour as the variable factor and capital as the fixed factor. The total product (TP) curve, marginal product (MP) curve, and average product (AP) curve illustrate the law of diminishing returns.

Key Points in the Diagram:

  1. Total Product (TP) Curve:
  • Initially increases at an increasing rate.
  • Eventually increases at a decreasing rate, illustrating diminishing returns.
  • May eventually decrease if too many units of the variable factor are added.
  1. Marginal Product (MP) Curve:
  • Initially rises, reaches a peak, and then starts to decline.
  • The point at which MP starts to decline marks the onset of diminishing returns.
  • When MP becomes negative, adding more labour decreases total output.
image
  1. Average Product (AP) Curve:
  • Initially rises and then falls after reaching a maximum point.
  • The AP curve is typically below the MP curve when diminishing returns set in.
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Interpretation:

  • Increasing Returns: In the initial stages, additional units of the variable factor lead to more efficient use of fixed factors, increasing productivity.
  • Diminishing Returns: Beyond a certain point, additional units of the variable factor lead to less efficient use of fixed factors, decreasing the marginal and average product.
  • Negative Returns: If too many units of the variable factor are added, total output can actually decrease due to over-congestion.

This concept is fundamental in understanding the efficiency and productivity limits in the short-run production process.

3.2.4 Internal and External Economies of Scale

Explanation of Internal and External Economies of Scale

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Internal Economies of Scale:

These are the cost savings that accrue to a firm as it grows larger and increases its output.

  1. Technical Economies: Larger firms can use more advanced machinery and technology, leading to increased efficiency.
  2. Managerial Economies: As firms grow, they can hire specialized managers, improving management efficiency.
  3. Marketing Economies: Bigger firms can spread advertising and marketing costs over a larger output.
  4. Financial Economies: Larger firms often have access to cheaper finance.
  5. Purchasing Economies: Large firms can buy raw materials in bulk at discounted rates.
infoNote

External Economies of Scale:

These are the cost advantages that accrue to all firms within an industry as the industry expands.

  1. Infrastructure Improvements: As an industry grows, improvements in infrastructure (like roads, ports) benefit all firms.
  2. Supplier Networks: A growing industry attracts more suppliers, reducing input costs.
  3. Labour Market Benefits: A larger industry may lead to a more skilled labour pool, reducing training costs.
  4. Research and Development: Increased industry size can lead to more R&D, benefiting all firms.

Diagram:

The diagram below illustrates how average costs decrease with increased production due to economies of scale.

image

Internal Economies of Scale:

  • AC1 Curve: As the firm increases its output from Q1 to Q2, the average cost decreases from AC1 to AC2. image

External Economies of Scale:

  • AC2 Curve: As the industry output increases, the average cost for all firms decreases from AC2 to AC3.
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Summary:

  • Internal economies of scale reduce average costs within an individual firm as it grows.
  • External economies of scale reduce average costs for all firms in an industry as the industry expands.

3.2.5 Diseconomies of Scale

Explanation:

As firms expand, they initially benefit from economies of scale, where increasing production leads to lower average costs due to factors like bulk purchasing, specialization, and spreading fixed costs over more units. However, beyond a certain point, further expansion can lead to diseconomies of scale, where the complexities and inefficiencies associated with managing a larger organization outweigh the benefits, resulting in increased average costs.

Causes of Diseconomies of Scale:

  1. Management Inefficiencies: As a firm grows, it becomes more difficult to coordinate and communicate effectively within the organization.
  2. Worker Demotivation: Large firms might have a more impersonal work environment, leading to reduced motivation and productivity among employees.
  3. Bureaucracy: Larger firms may face increased administrative overheads and slower decision-making processes.
  4. Coordination Issues: More complex logistics and coordination problems can arise in larger firms, leading to delays and inefficiencies.

Diagram:

The following diagram illustrates the concept of diseconomies of scale:

image image
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In the diagram:

  • LRAC Curve: The Long-Run Average Cost curve initially slopes downward, reflecting economies of scale, but eventually slopes upward, indicating diseconomies of scale.
  • Output (Q): The horizontal axis represents the quantity of output produced.
  • Average Cost (AC): The vertical axis represents the average cost per unit of output.
infoNote

Key Points:

  • Economies of Scale: In the left section of the LRAC curve, costs decrease as output increases due to efficiencies gained from larger-scale production.
  • Minimum Efficient Scale (MES): The lowest point on the LRAC curve represents the output level at which the firm is most efficient.
  • Diseconomies of Scale: In the right section of the LRAC curve, costs increase as output increases due to inefficiencies and management challenges associated with larger-scale operations.

3.2.6 Minimum Efficient Scale (MES)

Explanation:

  1. Economies of Scale: As a firm increases production, it can achieve lower average costs due to factors like bulk purchasing, specialized labour, and more efficient use of capital. These reductions in average costs are known as economies of scale.
  2. Constant Returns to Scale: Once a firm reaches MES, increasing production further results in constant returns to scale, where average costs remain stable.
  3. Diagram: The MES is illustrated on a Long-Run Average Cost (LRAC) curve. The LRAC curve typically has a U-shape, reflecting economies and diseconomies of scale.

Diagram:

Key Points in the Diagram:

  • LRAC Curve: The Long-Run Average Cost (LRAC) curve shows how average costs change with different levels of output.
  • MES Point: The MES is the output level at the lowest point of the LRAC curve, where the firm achieves the lowest possible average cost.
  • Economies of Scale: To the left of the MES, as output increases, average costs decrease due to economies of scale.
  • Constant Returns to Scale: To the right of the MES, average costs remain constant, indicating constant returns to scale. image
infoNote

Example:

Consider a factory producing widgets. Initially, as the factory increases production from 100 to 500 units, it benefits from bulk purchasing of raw materials and more efficient use of machinery, reducing the average cost per widget. This reduction continues until it reaches an output of 500 units, the MES. Beyond this point, producing additional widgets does not significantly reduce average costs, and the factory operates at an optimal scale.

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