Short-Run Costs (Cambridge (CIE) A Level Economics): Revision Note

Exam code: 9708

Steve Vorster

Written by: Steve Vorster

Reviewed by: Lisa Eades

Updated on

Types of short-run costs

  • In the short run, some factors of production such as factory space or machinery are fixed, while others, such as labour or raw materials can be varied

  • This creates two types of costs:

    • Fixed costs, which do not change with output

    • Variable costs, which change as production increases

  • These together form the short-run cost structure of a firm

Fixed and variable costs

1. Fixed costs (FC)

  • Fixed costs are expenses that do not change with the level of output. They must be paid even if the firm produces nothing

    • Examples include rent for premises, insurance premiums, and salaries of permanent staff

    • A cinema pays rent and licensing fees whether it screens films or not

    • On a graph, total fixed costs appear as a horizontal line, since they remain constant regardless of output

  • Firms operating in industries with high fixed costs such as hotels or airlines often aim to maximise output

  • This helps to spread these costs over more units, thereby reducing the average fixed cost per unit

2. Variable costs (VC)

  • Variable costs change directly with the level of production

    • These include expenses such as wages for temporary staff, electricity used in production, and the cost of raw materials

    • For example, a bakery’s flour and sugar costs rise as more cakes are baked.

    • Variable costs increase with output and are crucial for calculating total cost

3. Total cost (TC)

  • Total cost represents the overall cost of producing a given level of output

  • It is the sum of fixed and variable costs

TC space equals space TFC space plus space TVC

  • Where:

    • TFC = total fixed costs

    • TVC = total variable costs

  • As output increases, total cost rises because variable costs increase

Average costs

  • Average costs measure the cost per unit of output

1. Average total cost (ATC)

  • Average total cost shows the total cost of producing each unit of output

ATC space equals space TC over straight Q

  • Where:

    • TC = total cost

    • Q = quantity of output

2. Average fixed cost (AFC)

  • Average fixed cost measures the fixed cost per unit of output

AFC space equals space TFC over straight Q

  • As output increases, average fixed cost falls because the fixed costs are spread across more units

    • This is sometimes called 'spreading overheads' or 'fixed cost spreading'

3. Average variable cost (AVC)

  • Average variable cost measures the variable cost per unit of output

AVC space equals space TVC over straight Q

  • AVC may initially fall due to better use of variable inputs, but eventually rises due to the law of diminishing returns

Marginal cost (MC)

  • Marginal cost is the increase in total cost caused by producing one more unit of output

MC space equals space fraction numerator straight capital delta TC over denominator straight capital delta straight Q end fraction

  • Because fixed costs do not change with output in the short run, marginal cost can also be calculated using:

MC space equals space fraction numerator straight capital delta TVC over denominator straight capital delta straight Q end fraction

  • Marginal cost typically:

    • Falls at first, due to increasing productivity

    • Then rises as diminishing returns occur

  • This creates the U-shaped marginal cost curve

  • The MC curve intersects the ATC and AVC curves at their minimum points

Worked Example

Cost calculations using the above formulas

Assume:

  • Total fixed cost (TFC) = $200

  • Variable costs rise at an increasing rate as output increases

  • This reflects the law of diminishing returns, where additional workers become less productive and production becomes more expensive

This means:

  • Total variable cost (TVC) increases at an increasing rate

  • Marginal cost (MC) eventually rises

Short-run cost calculations example

Output (Q)

TFC

TVC

TC = TFC plus TVC

MC =

fraction numerator increment TC over denominator increment straight Q end fraction

AFC = TFC over straight Q

AVC = begin mathsize 11px style TVC over straight Q end style

ATC = TC over straight Q

0

200

0

200

1

200

50

250

50

200

50

250

2

200

90

290

40

100

45

145

3

200

140

340

50

66.67

46.67

113.33

4

200

200

400

60

50

50

100

5

200

280

480

80

40

56

96

6

200

380

580

100

33.33

63.33

96.67

7

200

520

720

140

28.57

74.29

102.86

8

200

700

900

180

25

87.5

112.5

What this table demonstrates

  • TFC remains constant at $200 because fixed costs do not change with output

  • TVC increases at an increasing rate due to the law of diminishing returns

  • MC initially falls, then rises as diminishing returns begin

  • AFC always falls as fixed costs are spread over more output

  • ATC falls initially, then rises as increasing marginal costs dominate

Drawing and interpreting cost diagrams

Fixed costs (FC)

Graph showing fixed costs as a horizontal line at $4000 with cost on the vertical axis and output level on the horizontal axis.
  • The firm must pay its fixed costs even if output is zero

  • Fixed costs do not change with the level of output

Variable costs (VC)

Graph showing total variable costs as a red upward-sloping line, with cost on the vertical axis and output level on the horizontal axis.
  • Initially, variable costs may increase slowly as labour becomes more productive

  • As more variable factors are added to fixed factors, the law of diminishing returns causes variable costs to rise at an increasing rate

Total cost (TC)

Graph showing costs against output level with three lines: total cost rising, variable cost rising, and fixed cost constant at a lower level.
  • The total cost is the sum of the variable and fixed costs

  • The total costs cannot be 0, as all firms have some level of fixed costs

Average fixed cost (AFC)

Graph showing a downward-sloping red curve labelled "Average Fixed Cost" on a cost versus output level axis.
  • If the fixed costs of a firm are $1,000 and it produces 1 unit of output, then its AFC is $1,000 ($1,000/1)

  • If the firm increases its output to 1000 units, then the AFC is $1 per unit ($1000/1,000)

  • The more units a firm produces, the lower its AFC will be

  • This is one reasons why large levels of output help to increase the profit per unit

Average total cost (ATC)

Graph showing average total cost curve, costs on vertical axis, output level on horizontal axis. Curve dips from point a and rises after point b.
  • As a firm grows, it is able to increases its scale of output generating efficiencies that lower its average total costs (AC) of production

  • As a firm continues increasing its scale of output, it will reach a point where its average total costs (AC) start to increase

  • ATC is U-shaped mainly because of:

    • increasing returns initially

    • diminishing returns later

Marginal costs (MC)

Graph showing cost curves: MC intersects AC and AVC at their lowest points. Diminishing returns start as MC rises. Distance AC-AVC equals AFC.
  • The distance between the AVC and AC = the AFC

    • AVC converges towards AC as the AFC continuously decreases with an increase in output

    • AVC decreases as additional workers are added and each worker produces additional product

  • Marginal costs (MC) decrease initially as additional workers are added and the marginal product is increasing

  • Diminishing returns begin when the MC starts to increase

  • MC will cross the AVC and AC curves at their lowest point

    • As long as the cost of producing the next unit (MC) is lower than the average, it will pull down the average

    • When the cost of producing the next unit (MC) is higher than the average, it will pull up the average

Unlock more, it's free!

Join the 100,000+ Students that ❤️ Save My Exams

the (exam) results speak for themselves:

Steve Vorster

Author: Steve Vorster

Expertise: Economics & Business Subject Lead

Steve has taught A Level, GCSE, IGCSE Business and Economics - as well as IBDP Economics and Business Management. He is an IBDP Examiner and IGCSE textbook author. His students regularly achieve 90-100% in their final exams. Steve has been the Assistant Head of Sixth Form for a school in Devon, and Head of Economics at the world's largest International school in Singapore. He loves to create resources which speed up student learning and are easily accessible by all.

Lisa Eades

Reviewer: Lisa Eades

Expertise: Business Content Creator

Lisa has taught A Level, GCSE, BTEC and IBDP Business for over 20 years and is a senior Examiner for Edexcel. Lisa has been a successful Head of Department in Kent and has offered private Business tuition to students across the UK. Lisa loves to create imaginative and accessible resources which engage learners and build their passion for the subject.