Marginal Cost Formula: Definition, Curve & Solved Examples

Marginal Cost refers to the expenses incurred by any business when it has to produce additional units of any goods or services. To put it another way, marginal cost is the difference between the total production cost and the cost of generating one additional unit of output. It is computed by dividing the overall cost of producing the extra items by the change in the total number of goods produced. Variable costs like material and labour are included in the marginal cost. It also takes into account any increases in fixed expenditures such as overhead, administrative, and sales.

Key Terms: Marginal Cost, Cost of Production, Production, Variable Costs, Marginal Cost Curve, Marginal Cost Formula, Fixed Cost, Goods and Services, Expenditure

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What is Marginal Cost?

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Marginal Cost can be defined as the difference in the overall cost of production caused by producing one additional unit of output. Firms can utilize the marginal cost to understand the influence of producing an additional unit on the overall cost of production and as a result, make relevant production decisions in their company. The usual variable costs included in the calculation are labour and materials, as well as any estimated increases in fixed costs, such as administration, overhead, and selling expenses. To optimize cash flow generation in financial modelling, the marginal cost formula can be employed.

Marginal Cost can also be defined as the ratio of change in total production costs to the change in the unit production. Marginal Costs cannot be defined at the zero level of production i.e. when the quantity produced is zero. 

Also Read: Disposable Income Formula

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Marginal Cost Formula

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The formula designated for the calculation of Marginal Cost is \(\bigtriangleup\)C/\(\bigtriangleup\)Q, wherein \(\bigtriangleup\) denotes change. In the given formula, ΔC denotes the change in the total cost of production and \(\bigtriangleup\)Q denotes the change in quantity.

Marginal Cost Formula

The marginal cost of the Nth unit of production may also be determined using the following formula when the quantity is increased by one unit: 

MC_n = TC_n - TC_n-1

MC denotes marginal cost, whereas TC denotes total cost. It's vital to distinguish the marginal cost from the average cost of production since the average cost refers to the cost of generating one unit of output, whereas the marginal cost refers to the cost of creating an additional unit of output. 

• Change in Cost

Costs of Production may rise or fall at every stage of production and throughout time, particularly when the demand to generate more or less output develops. If producing more units necessitates the hiring of one or two more workers and raises the cost of raw materials, the entire production cost will alter. 

To calculate the cost difference, simply subtract the cost of production incurred during the first output run from the cost of production in the next batch when output has increased. 

• Change in Quantity

Given the fluctuating levels of production, the quantity of output will inevitably increase or decrease. The volumes involved are usually large enough to assess cost changes. The cost of things manufactured increases or decreases as the volume of products produced increases or decreases.

The number of goods produced in the first production cycle is subtracted from the amount of output produced in the subsequent production run to ascertain the changes in quantity. 

Read More: GDP

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Calculating Marginal Cost

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The following steps must be followed systematically to determine the marginal costs of production:

1. Determine \(\bigtriangleup\)C’s value i.e., change in the overall cost of production
2. Calculate the value of \(\bigtriangleup\)Q i.e., change in the overall quantity
3. Calculate \(\bigtriangleup\)C/\(\bigtriangleup\)Q by dividing the result of Step 1 by the result of Step 2.

Let's look at determining marginal cost as an example. The data on a company's cost of producing school bags are provided below. By analyzing changes in the overall cost and the output produced, we will be able to determine the marginal cost.

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Marginal Cost Curve

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A U-shaped curve represents the Marginal Cost Curve. It implies that the marginal cost is initially relatively high when production begins since it reflects the overall cost, including the variable and fixed costs. The production cost is usually higher in the beginning because it comprises the cost of machines, cost of setting up the plant, and other costs as well. 

Marginal Cost Curve

As a result, the marginal cost curve begins at a higher point. Then there’s a drop since more units are produced for the same fixed cost, keeping the production cost low. It begins to grow again after reaching the minimal level of point, indicating an increase in production costs. This occurs due to a lack of resources or an excessive usage of resources.

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Things To Remember

• Marginal cost is the difference between the total production cost and the cost of generating one additional unit of output. It is computed by dividing the overall cost of producing the extra items by the change in the total number of goods produced.
• The usual variable costs included in the calculation are labour and materials, as well as any estimated increases in fixed costs, such as administration, overhead, and selling expenses.
• Marginal Costs cannot be defined at the zero level of production i.e. when the quantity produced is 0
• The formula designated for the calculation of Marginal Cost is \(\bigtriangleup\)C/\(\bigtriangleup\)Q, wherein Δ denotes change.
• The marginal cost (MC) curve is specified as total cost change divided by energy output change. The MC curve is much like the firm's supply curve in perfectly competitive marketplaces.

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