Marginal Cost of Production

It is the cost incurred on each additional unit of output produced.

Author: Ishpreet Kaur
Ishpreet Kaur
Ishpreet Kaur
As a third-year Liberal Arts student at Ashoka University majoring in Economics and Finance with a minor in Entrepreneurship, I bring forth a robust academic foundation and practical experience gained from a two-month marketing internship at Nestle. My leadership roles in sports and on-campus organizations, combined with my passion for economics and strategic thinking, underscore my commitment to diverse experiences.
Reviewed By: Elliot Meade
Elliot Meade
Elliot Meade
Private Equity | Investment Banking

Elliot currently works as a Private Equity Associate at Greenridge Investment Partners, a middle market fund based in Austin, TX. He was previously an Analyst in Piper Jaffray's Leveraged Finance group, working across all industry verticals on LBOs, acquisition financings, refinancings, and recapitalizations. Prior to Piper Jaffray, he spent 2 years at Citi in the Leveraged Finance Credit Portfolio group focused on origination and ongoing credit monitoring of outstanding loans and was also a member of the Columbia recruiting committee for the Investment Banking Division for incoming summer and full-time analysts.

Elliot has a Bachelor of Arts in Business Management from Columbia University.

Last Updated:January 24, 2023

The marginal Cost of production is the cost incurred on each additional unit of output produced. It can be defined as the change in the total cost of production upon the change in total output.

That is, at any given level of output y, we can ask how costs will change if we change output by some amount Δy.

Marginal Cost of production = Change in Total cost/ Change in output = Δcost/ Δy

Since we frequently take the change in output to represent one unit of output, the marginal cost shows how much more expensive it would be to produce an additional discrete unit of product. 

Marginal Cost measures a rate of change: the change in costs divided by a change in output. The marginal Cost appears to be a straightforward rise in costs when the output changes by a single unit, whereas it is a rate of change as that single unit increases the output.

The company may return a profit if the marginal Cost of production is lower than the product's unit price.

Examples of Marginal Cost of production

To understand the marginal Cost, we first need to understand what the total Cost represents.

The total Cost comprises two types of Cost:

1. Fixed Cost 

Fixed costs are the costs that do not change with a change in output produced, i.e., remain constant. An example of a fixed cost is the rent that a factory pays, independent of the output produced.

A fixed amount of rent is paid each month irrespective of whether the production increases or decreases.

2. Variable Cost

Variable costs are the costs that vary with the change in output produced. For example- the Cost of raw materials, labor wages, delivery costs, etc.

NOTE

Marginal costs are not affected by a firm’s fixed Costs, and we know that fixed costs do not vary with changes in the output level. MC can also be expressed as ∆VC/∆Q instead of ∆C/∆Q.

Marginal Cost can be categorized into two types depending on time-

1. Short-run Marginal Cost

In the short run, the firms incur a fixed cost of production. Therefore, short-run marginal Cost is defined as the additional cost of producing an extra unit of output in the short run; when all inputs are fixed.

This happens because, in the short run, firms own a fixed asset. For example, they are not allowed to buy new machinery.

2. Long-run Marginal Cost

In the long run, the firms can change their input, for example- by buying new machinery. Therefore, a Long run marginal cost is defined as the additional cost of producing an extra unit of the output in the long-run; when all inputs are variable.

Because of this, even if short-run marginal Cost increases due to capacity limitations, long-run marginal Cost can remain constant.

Marginal Cost and economies of scale

The producers generate more output as long as their profit is maximized, i.e., the point where marginal revenue equals their marginal Cost of production.

Once the firm knows its marginal Cost, it's easier for them to create an optimal marginal revenue to increase profits.

Economies of scale happen when output is very small and labor specialization is impossible. As output increases, labor can specialize, leading to more efficiency and a fall in the average cost of production. The marginal cost must remain below the average total Cost for this to happen.

Economies of scale are the goal for most companies. Expanding while maintaining or increasing profits is ideal for a business. It allows the company to grow and generate higher profits for the organization.

Diseconomies of scale are when output increases a lot, and management gets overstretched, causing inefficiency. In this case, a firm’s marginal Cost of production increases because now they might have to incur an additional cost of expansion. 

NOTE

If a company increases production at diseconomies of scale, it risks average total Cost becoming greater than its average profits. This would mean the company is losing money and cannot meet demand without going bankrupt.

Marginal Cost curve 

The marginal cost curve illustrates the relationship between a firm's marginal Cost of producing a good or service and the volume of output the firm produces.

To understand the shape of the cost curve for MC, let us see a small derivation for the relation between the marginal product of labor and marginal Cost.

VC = w.L(Q)

Marginal cost = dVC/ dQ = w.dL(Q)/ dQ = w/MP

Where, 

  • VC = Variable Cost
  • W = Wage
  • L = Labor
  • MP = marginal product of labor = dQ/dL

Thus, MC = w/ MP

Marginal Cost and the marginal product of labor have an inverse relation. When marginal product increases (labor becoming more productive), marginal cost decreases (the additional Cost of employing labor decreases).

Graph

Thus, the marginal cost curve is a U-shaped curve with Cost on its y-axis and output on the x-axis. The marginal cost curve can also be referred to as a firm’s supply curve in a perfectly competitive market.

It will be costly to increase production capacity if the marginal Cost per unit is high. On the other hand, a corporation may obtain economies of scale by using reduced fixed costs in particular production lines if it has a low marginal cost of production.

Marginal Cost of Production Vs. Average Cost of production

The average cost of production is the total Cost divided by the total number of goods. In contrast, marginal cost gives us the change in total Cost relative to the change in total output.

The average Cost is used when the firms have to minimize their costs, whereas marginal Cost is used when the firms want to maximize their profits.

Just like total costs, average costs comprise two kinds of costs- 

  • Average fixed Cost
  • Average variable Cost

Similar to marginal costs, average costs can be categorized into two

  • Short-run average Cost
  • Long-run average Cost

The average cost and marginal cost are closely related. Below is the diagram that illustrates the relationship between the two-

Graph

When the average cost increases, the marginal Cost is always greater than the average Cost. Since the marginal Cost is the value of the additional Cost added to the average, it tends to raise the average Cost's value if it is larger than the marginal Cost.

Similarly, when the average cost decreases, the marginal Cost is always lower than the average.

Average Cost typically exceeds marginal Cost at low production volumes because fixed costs are included in the average Cost and not in marginal Cost.

An analogy to better understand the concept is that suppose you scored 80 in your economics exam, and on the next exam, you scored 75. Now, this score will pull your average down. Your new average score in the economics exam is less than 80.

Suppose you scored 85 in your economics exam and 90 in the next exam, which will increase your average. Your new average score in the economics exam is greater than 85.

In both cases, the current average score is the average Cost, and the score in the next exam is the marginal Cost. 

MC < AC => AC is decreasing

MC > AC => AC is increasing

Marginal Cost and Average variable Cost

The average variable Cost in economics is the variable Cost per unit. The average variable Cost is calculated by dividing the entire variable Cost by the output.

The businesses use the average variable Cost to decide when to stop short-term production. Below is the graphical representation of MC, AC, and AVC.

Graph

The Marginal Cost and average variable Cost have a similar connection. The average variable Cost falls when the marginal Cost is lower than the average variable Cost. The average variable Cost rises when the marginal Cost exceeds the average variable Cost.

When MC exceeds AVC, AVC rises as output increases. Following that, both AVC and MC rise, but MC rises more quickly than AVC. Because of this, the MC curve is steeper than the AVC curve.

Since neither average variable Cost nor marginal Cost has a fixed cost component, in some circumstances, this also means that average variable Cost assumes a U-shape. 

Key Takeaways

  • The Marginal Cost of Production is the cost incurred on an additional unit of output produced. 
  • The marginal cost must remain below the average total cost for economies of scale.
  • Marginal Cost and the marginal product of labor have an inverse relation.
  • A corporation may obtain economies of scale by using reduced fixed costs in particular production lines if it has a low marginal cost of production.
  • Even if short-run marginal cost increases due to capacity limitations, long-run marginal Cost can remain constant.
  • When the average cost increases, the marginal Cost is always greater than the average Cost. 

Researched and authored by Ishpreet Kaur | LinkedIn

Reviewed and edited by Parul GuptaLinkedIn

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