1. Understanding Costs: Fixed, Variable, and Total
To produce any good or service, a firm must pay for resources. These payments are its costs. Costs can be split into two main types. Fixed Costs (FC) are costs that do not change regardless of how much the firm produces. Think of them as the background costs of being in business, such as rent for a factory or monthly insurance payments. Even if the firm produces zero units, it still has to pay its fixed costs. Variable Costs (VC) are costs that change directly with the level of output. The more the firm produces, the higher its variable costs will be. Examples include raw materials, packaging, and wages for production staff paid per item made. Total Cost (TC) is simply the sum of all fixed and variable costs for a given level of output. So, Total Cost = Total Fixed Costs + Total Variable Costs.
Total Cost (TC) = Total Fixed Costs (TFC) + Total Variable Costs (TVC)
Key term
Examiner insight
Common pitfall
Worked example 13 marks
A bakery has monthly fixed costs of $2,000 for rent and insurance. The variable cost (flour, sugar, labour) for each cake is $5. In May, the bakery produces 400 cakes. What is the bakery's total cost for May?
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Step 1: Identify the Total Fixed Cost (TFC). The TFC is given as $2,000.
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Step 2: Calculate the Total Variable Cost (TVC). This is the variable cost per unit multiplied by the number of units. TVC = $5 per cake × 400 cakes = $2,000.
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Step 3: Calculate the Total Cost (TC) using the formula TC = TFC + TVC. TC = $2,000 + $2,000 = $4,000.
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Answer: The bakery's total cost for May is $4,000.
Worked example 24 marks
A car manufacturing plant has the following costs: rent on the factory, steel for car bodies, wages for assembly line workers, and a manager's salary. Classify each cost as either fixed or variable.
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Rent on the factory: This is a fixed cost. The rent is the same each month regardless of how many cars are made.
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Steel for car bodies: This is a variable cost. The more cars produced, the more steel is needed, so this cost increases with output.
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Wages for assembly line workers (if paid per hour/car): This is a variable cost. More production hours or cars mean higher total wages.
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Manager's salary: This is a fixed cost. The manager is paid a set salary per month or year, which does not change with the number of cars produced.
Recap
- Fixed costs do not change with the level of output (e.g., rent).
- Variable costs change in direct proportion to the level of output (e.g., raw materials).
- Total cost is the sum of total fixed costs and total variable costs.
- Firms must cover all their costs in the long run to survive.
Quick check
- Define 'variable cost' and provide one example.2 marks