Unit Cost | Definition, Formula & Examples
Table of Contents
ShowHow do you find the unit cost?
To find the unit cost, one would use the unit cost formula. The unit cost formula is:
Cost per unit = variable cost + fixed costs / total units produced.
What is a unit cost example?
A company has $5,000 fixed costs, $10,000 of variable costs, and is producing 500 products. $5000+$10000 = $15,000 total costs and $15,000/500 = $30 per unit.
What is cost per unit?
Cost per unit is the average cost of each unit produced. Cost per unit involves all the costs associated with the production of a unit.
Table of Contents
ShowThe unit cost definition in business accounting is the cost associated with producing, storing, shipping, and selling a good or service. Unit cost is also known as the cost of goods sold (COGS), which can also mean average cost or the cost per unit sold. Unit cost is the cost of one unit of activity produced and sold. The unit of activity can be one good or one service activity rendered. Unit cost is essential in the operational capacity of the company and is vital to business accounting and tax work. Businesses analyzing unit cost gives them an insight into their production efficiency.
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How to calculate cost per unit? When a business is deciding how to find unit cost, they use the unit cost formula. The unit cost formula is used to calculate the cost per unit sold. The formula is the ratio between the total cost and the level of activity in the business. The calculation of the total cost involves the fixed costs and the variable costs. Fixed costs are business expenses that remain constant no matter how much is produced. Examples of fixed costs are machinery or equipment, renting, and insurance. Fixed costs can be forecasted and predictable, which helps businesses with long-term financial planning. Variable costs are expenses that can change depending on the production volume or other economic factors. Variable costs usually include the cost of labor, material cost, supplies, and energy. Most of these costs are direct costs related to the production process.
Unit cost needs to combine variable and fixed costs and then divide by the total number of units produced.
Cost per unit = Variable cost + Fixed Cost / Total number of units produced
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Below are examples of how to calculate cost per unit using the unit cost formula.
A video game company that experiences $100,000 in variable costs and $200,000 in fixed costs that was able to produce 10,000 video games. $100,000 variable cost + $200,000 fixed cost = $300,000 total costs. $300,000 total cost divided by 10,000 units = $30. This means that the company is experiencing $30 per video game produced.
Another example is of a start-up technology company. They specialize in a software application that helps people with their family budgets. The business has spent $500,000 in variable costs and $50,000 fixed costs to produce their new application. They created 100,000 personalized applications for families during this time. $500,000 variable costs + $50,000 fixed costs = $550,000 total costs. $550,000 total costs divided by the 100,000 personalized apps = $5.50. Each personalized budget application is being produced at $5.50.
Company Z produces 10,000 units in a year. It has fixed costs of $50,000, direct labor costs of $50,000, and direct material costs of $100,000. The company would need to add up all their costs: direct labor, direct material and fixed costs $50,000+$50,000+$100,000 = $200,000. Next, Company Z's accounting department needs to divide $200,000 by 10,000 units to arrive at $20/unit.
PEN Company Ltd is a company that produces pens. In January, the unit cost of a pen was $1 if 50,000 units were produced, with direct labor and direct material costs being $15,000 and $16,000, respectively. PEN Company LTD wanted to calculate the unit cost of a pen in February with an order totaling 4000 units if direct labor costs and direct material costs are $6,000 and $4,000, respectively.
- The first step they would need to do is find the fixed cost from data taken in January.
- The formula would be set up this way: 1= (15,000+16,000+x) / 50,000.
- X = $19,000 being the fixed cost for the month of February
- Total variable cost = $6,000 + $4,000 = $10,000.
- Total costs = $19,000 + $10,000 = $29,000.
- Then the company would take the total cost of $29,000 and divide by 4000 units.
- They would finally arrive at $7.25 cost per unit for the month of February.
Company X wants to know where to price their new product coming out. After adding up their total cost, they realize that their cost per unit is $10 per product. They want to make sure they profit next month and use this data to price their product at $15 per unit. This way, as long as the variable costs stay somewhat predictable, Company X should be able to profit $5 per unit.
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The unit cost is the amount of money it takes to produce one unit of an item. Mathematically, it is the total cost to produce a product divided by the number of units produced. Unit cost can also be known as the cost of goods sold, average cost, or cost per unit. Businesses use unit costs to see how efficient their product production is. Calculating unit costs is also important in business accounting to organize financial statements and accurately report taxes. Companies can also use unit costs to strategize pricing to produce profits. To calculate the cost per unit, a business needs to use the unit cost formula.
The unit cost formula is:
Cost per unit = Variable cost + Fixed Cost / Total number of units produced
Variable costs are costs that are directly related to the production of goods and can change depending on the volume of the production. Examples of variable costs can include steel for making cars, wages paid for labor, or legal fees for settling a lawsuit. Variable costs can also be broken down further to direct labor costs and direct materials costs. Fixed costs are all costs that go into the making of a product that does not vary with the number of units produced. Fixed cost examples are rent to a landlord, utility bills, or the price of gas.
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Video Transcript
Definition of Unit Cost
The simplest way to describe unit cost is the amount of money it takes to produce one unit of whatever you're talking about. Of course, that might be oversimplifying it a little. A giant corporation might build an entire factory to produce a new product with anticipated high demand.
Imagine that a popular shoe company wants to design a new high-end shoe. They might spend millions of dollars on that infrastructure, and it may take years to produce the very first new widget. Literally speaking, the unit cost for the first shoe off that production line might be measured in the millions of dollars. Not even Michael Jordan can afford that! Let's turn now to the much more precise language of mathematics to better explain.
Formula for Unit Cost
The formula for unit cost is often written like this:
UC = c/u
In the equation, c represents the total costs of producing those items, u is the total number of units, and UC is unit cost for the time period. Typically speaking, the number of units is quite easy to calculate, while calculating the costs is more involved. We're going to talk about three types of costs that will go into our calculations: fixed costs, direct labor costs, and direct material costs. To make things confusing, direct labor and direct material costs are also lumped together and called 'variable costs'.
What are those you ask? Well, let's take them one at a time.
Fixed costs are all costs that go into the making of a product that do not vary with the number of units produced. Does the landlord care if your production line was down? No, he's going to expect a rent check regardless of what is happening in your factory. So, rent is a common fixed cost. The same reasoning applies to the cost of equipment used on the production line, property taxes, salaried workers not directly involved with production (such as accountants and management staff), mortgage payments, and insurance payments.
Direct labor costs are limited to the wages paid to workers directly involved with making the product. Those people making shoes in the factory are making salaries figured in to direct labor costs. Managers and executives aren't direct labor costs, remember? They're fixed costs like we talked about earlier.
Direct material costs are also limited to materials purchased and used in making the product. Direct labor and materials are also referred to as variable costs, because they change with the number of units produced.
Sample Calculations
Now let's look at how all of this shakes out in a real life situation. Let's calculate the unit cost of one widget, for Company A, for the month of June, given the following information for that time period:
Units produced = 12,000
Direct labor costs = $35,000
Direct material costs = $25,000
Fixed costs = $22,000
To solve this we use our equation UC=c/u and substitute what we know.
UC = ($35,000+$25,000+$22,000)/ (12,000 units)
UC = $82,000 / 12,000 units
UC = $6.83/unit
That was a pretty straightforward problem, so what if I mix it up a little for you? Let's say Company A had a production line that was down for a period of time so it only produced half of the number of units in July as it did in June. Would you expect the unit cost to double? Let's work it through.
UC = ($17,500+$12,500+$22,000)/ (6,000 units), because direct costs are cut in half, but fixed costs remain the same.
UC = $52,000/6,000 units
UC = $8.67/unit
It turns out that halving the production for Company A did not double the unit cost. This is because a significant percentage of the unit cost is fixed costs.
One last example. Let's say that in August, Company A got a rush order for another 3,000 units. They had been planning on making another 12,000 units, just like in June, and they have the capacity to make the 3,000 units without adding overtime hours. What is the unit cost of every unit produced in August?
Company A total unit cost for August:
UC = ($43,750+$31,250+$22,000)/(15,000 units). Variable costs go up by 3,000/12,000, or 25%
UC = $97,000/15,000 units
UC = $6.47/unit
Company A rush order unit cost for August is:
UC = ($8,750+$6,250)/(3,000 units) These variable costs represent 25% of the original amounts, and there is no fixed cost associated with the rush order, because all of those costs have already been assigned to the first 12,000 units!
UC = $15,000 / 3,000 units
UC = $5/unit
An interesting footnote here: Company A would still make a profit on the 3,000 unit rush order if they sold it for below their planned unit cost of $6.83! Why? Because it only costs them $5 each to produce these 3,000 extra units.
Lesson Summary
Unit cost is a very important pricing and selling tool for any company, because it's hard to set a profitable price when you don't know what it costs you to produce a product. Unit cost is determined by adding fixed costs and variable costs (which are direct labor costs and direct material costs lumped together), and then dividing the total by the number of units produced. Fixed costs do not change with production levels, while variable costs do fluctuate.
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