Costs (Edexcel A Level Economics A)

Revision Note

Steve Vorster

Expertise

Economics & Business Subject Lead

The Relationships Between Different Types of Costs

  • Fixed costs are costs that do not change as the level of output changes

    • These have to be paid whether output is zero or 5000 

      • e.g. building rent, management salaries, insurance, bank loan repayments etc.

  • Variable costs are costs that vary directly with output

    • These increase as output increases and vice versa

      • E.g. raw material costs, wages of workers directly involved in production

  • Marginal cost is the cost of producing an additional unit of output

Cost calculations

Based on the above definitions, we can calculate several different types of costs

  1. Total space costs space left parenthesis TC right parenthesis space equals space total space fixed space costs space left parenthesis TFC right parenthesis space plus space total space variable space costs space left parenthesis TVC right parenthesis

  2. Total space variable space cost space left parenthesis TVC right parenthesis space equals space variable space cost space left parenthesis VC right parenthesis space cross times space quantity space left parenthesis straight Q right parenthesis

  3. Average space total space cost space left parenthesis AC right parenthesis space equals space fraction numerator total space cost space left parenthesis TC right parenthesis over denominator quantity space left parenthesis straight Q right parenthesis end fraction

  4. Average space fixed space cost space left parenthesis AFC right parenthesis space equals space fraction numerator Total space fixed space costs space left parenthesis TFC right parenthesis over denominator quantity space left parenthesis straight Q right parenthesis end fraction

  5. Average space variable space cost space left parenthesis AVC right parenthesis space equals space fraction numerator Total space variable space costs space left parenthesis TVC right parenthesis over denominator quantity space left parenthesis straight Q right parenthesis end fraction

  6. begin mathsize 14px style Marginal space cost space left parenthesis MC right parenthesis space equals space fraction numerator increment space in space total space cost space left parenthesis TC right parenthesis over denominator increment space in space quantity space left parenthesis straight Q right parenthesis end fraction end style

Cost Calculations Using the Above Formulas

Output (Q)

TFC

TVC

TC = TFC plus TVC

AFC = TFC over straight Q

AVC = TVC over straight Q

AC = TC over straight Q

MC = fraction numerator increment TC over denominator increment straight Q end fraction

0

200

-

-

-

-

-

-

1

200

60

260

200

60

260

60

2

200

100

300

100

50

150

40

3

200

130

330

66.67

43.33

110

30

4

200

170

370

50

42.50

92.50

40

5

200

230

430

40

46

86

60

6

200

320

520

33.34

53.33

86.77

90

7

200

440

640

28.58

62.86

91.44

120

8

200

620

820

25

77.50

102.5

180

Short-run Cost Curves

Concepts That Help to Provide Understanding of How the Cost Curves Are Derived

Concept

Explanation

Short-run

That period of time in which at least one factor of production is fixed. E.g. it is difficult to change machinery or the number of factories in the short run, but that can be achieved in the long run. The variable factor that is usually added to production is labour as it is easy to hire new workers

Long-run

That period of time in which all of the factors of productions are variable. This is also called the planning stage as firms can plan for increased capacity and production

Marginal product of labour (MP)

The change in output that results from adding an additional unit of labour

Law of diminishing marginal productivity

In the short run, as more of a variable factor (e.g. labour) is added to fixed factors (e.g. capital), there will initially be an increase in productivity. However, a point will be reached where adding additional units begins to decrease productivity due to the relationship between labour and capital

  • In the short-run, the shapes of the cost curves (AC, AVC and MC) are determined by the law of diminishing marginal productivity

3-3-2-marginal-_-average-product_edexcel-al-economics
In the short run, marginal product (MP) increases with the addition of three workers before diminishing returns for each additional worker begin

Diagram analysis

  • A small food van selling burgers (product) at a music festival increases productivity up to the addition of a third worker

  • After that, workers get in each other's way and there is not enough grill space (capital) and MP no longer increases

  • If more workers are hired, then the MP of each additional worker begins to fall

  • Adding additional workers up to the 7th worker will keep increasing the total product

  • With the hiring of the 7th worker, the MP turns negative which will decrease the total product

Connection between diminishing marginal returns and the cost curves

  • As the marginal product increases, marginal costs decrease

    • There is an inverse relationship

      • Increasing returns = decreasing costs

      • Decreasing returns = increasing costs

3-3-2-marginal-returns-_-cost-curves_edexcel-al-economics

Diagram analysis

  • 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

Short-run and Long-run Average Costs Curves

  • Day to day operations of a firm occur in the short-run

  • In the long-run, they are able to plan to increase the scale of production

    • E.g by increasing the size of the factory

    • Larger scale = more output and the firm moves onto a new SRAC curve in which the average unit costs are lower

  • In the long-run, a growing firm is likely to keep repeating this process,

    • Each time a more efficient SRAC is generated

  • The long-run average cost curve (LRAC) is the line of best fit between the lowest points of the short-run ATC curves

3-3-2-sr-_-lr-average--cost-curves_edexcel-al-economics
The LRAC curve is generated by the addition of successive SRAC as the firm expands its scale of production

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Steve Vorster

Author: Steve Vorster

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.