Formula to Calculate Average Total Cost
The average total cost formula shows the cost per unit of the quantity produced and is calculated by taking two figures where the first one is total production cost and the second one is the quantity produced in numbers and then the total cost of production is divided by the total quantity produced in numbers.
It is straightforward, and it is calculated by dividing the total cost of production by the number of goods produced.
However, the total cost is comprised of fixed cost and variable cost of production. Mathematically,
Total Cost of Production = Total Fixed Cost + Total Variable Cost
It can also be calculated by adding up average fixed cost and average variable cost. This average total cost equation is represented as follows-
- Average fixed cost = Total fixed cost/ Quantity of units produced
- Average variable cost = Total variable cost/ Quantity of units produced
Calculation of Average Total Cost (Step by Step)
The formula of the average total cost can be determined by using the following five steps:
- Step 1: Firstly, the fixed cost of production is collected from the profit and loss account. A few examples of the fixed cost of production are depreciation cost, rent expense, selling expense, etc.
- Step 2: Next, the variable cost of production is also collected from the profit and loss account. A few examples of the variable cost of production are raw material cost, labor cost, etc.
- Step 3: Next, the total cost of production is calculated by summing up the total fixed costs and total variable cost. Total Cost of Production = Total Fixed Cost + Total Variable Cost
- Step 4: Now, the quantity of units that has been produced has to be determined.
- Step 5: Finally, the average total cost of production is calculated by dividing the total cost of production calculated in step 3 by the number of units produced determined in step 4. Average Total Cost = Total Cost of Production / Quantity of Units Produced
Let us consider an example where the total fixed cost of production of a company stood at $1,000, and the variable cost of production is $4 per unit. Now, let us do the calculation of the average total cost when the quantity of production is:
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- 1,000 units
- 1,500 units
- 3,000 units
In the below template, we have done the calculation of the Total Cost of Production using the given data.
- So the total cost of production at 1,000 units will be calculated as:
So from the above calculation, the Total Cost of Production for 1000 units will be:
= $1,000 + $4 * 1,000
Now, at 1,000 units, it will be calculated as:
= $5,000 / 1,000
- Total Cost of Production for 1500 units
= $1,000 + $4 * 1,500
So, for 15000 units it will be –
$7,000 / 1,500
- Total Cost of Production for 3000 units
= $1,000 + $4 * 3,000
So, for 3000 units, it will be –
= $13,000 / 3,000
In this case, it can be seen that the average total cost decreases with the increase in the production quantity, which is the major inference from the above cost analysis.
Let us consider another example where the total fixed cost of production of a company stood at $1,500 while the variable cost of production per unit varies with production quantity. Now, let us calculate the average total cost when:
- Variable cost is $5.00 per unit from 0-500 units
- Variable cost is $7.50 per unit from 501-1,000 units
- And variable cost is $9.00 per unit from 1,001-1,500 units
- Total cost of production at 500 units = Total fixed cost + Total variable cost
= $1,500 + $5 * 500
For 500 units, it will be = $4,000 / 500
- Total cost of production at 1,000 units = Total fixed cost + Total variable cost
= $1,500 + $5 * 500 + $7.5 * 500
At 1,000 units = $7,750 / 1,000
- Total cost of production at 1,500 units = Total fixed cost + Total variable cost
= $1,500 + $5 * 500 + $7.5 * 500 + $9 * 500
At 1,500 units = $12,250 / 1,500
In this case, it can be seen that the average total cost initially decreases with the increase in the production quantity till 1,000 units. But then the trend reverses beyond that production level due to an increase in the average variable cost. The detailed excel calculation is presented in tabular format in the later section.
Average Total Cost Calculator
You can use the following Calculator.
|Average Total Cost Formula =||
Use and Relevance
It is vital to understand the concept of average total cost since it helps a production manager to figure out till what level the production can be increased profitably. Usually, the total fixed cost doesn’t change, and as such, the change in average total cost is primarily driven by the change in average variable cost.
In cases where the average total cost breaches the permissible limit, then the production manager should either halt the incremental production or try to negotiate the variable cost.
Example of Average Total Cost (with Excel template)
The following table gives a detailed calculation of the case discussed in example 2 and shows how the average total cost varies with the change in quantity produced. Here, it reverses trend after a certain point, which indicates that at that level of production, the cost of production starts to increase after the initial phase of moderation.
In the below given excel template, we have used the equation to find the Average Total Cost for certain units produced.
So the Average Total Cost Calculation will be:-
The below-given graph shows the Average Total Cost of the Company.
This article has been a guide to the Average Total Cost Formula. Here we learn how to calculate average total cost along with practical examples and downloadable excel templates. You can learn more about accounting from the following articles –