Costs, Revenues & Profit (Edexcel IGCSE Economics)

Revision Note

Steve Vorster

Written by: Steve Vorster

Reviewed by: Jenna Quinn

Different Types of Costs

  • In preparing goods/services for sale, firms incur a range of costs. These costs can be be broken into different categories

Fixed costs (FC)

  • These 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

Variable costs (VC)

  • These 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

Total costs (TC)

  • These are the sum of the fixed + total variable costs 

Cost calculations and cost graphs

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

  1. begin mathsize 14px style 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 end style

  2. begin mathsize 14px style 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 end style

  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 space

Examiner Tips and Tricks

 In your exams, the word total is often left out of the formula for average total cost. This means that AC and ATC have the same meaning


Example calculations using a variable cost of $60 per unit


Output (Q)


TFC


TVC = begin mathsize 11px style $ 60 space straight x space straight Q end style


TC = TFC plus TVC


AC = TC over straight Q

0

200

-

200

-

1

200

60

260

260

2

200

120

320

160

3

200

180

380

126.67

4

200

240

440

110

5

200

300

500

100

6

200

360

560

93.33

7

200

420

620

88.57

8

200

480

680

85

Worked Example

A firm manufactures books and has the following total monthly costs:

Type of cost

Cost

Raw materials

$4000

Rent

$1000

Loan repayments

$1200

Electricity (depends on output)

$900

Calculate total variable costs per month (2 marks)

Step 1: Calculate the variable costs

Variable costs = Raw materials + electricity

= $4000 + $900 (1)

= $4900 (1)

When calculating variable costs, only include costs that vary / change as output changes.

A Graphical Representation of Costs

Types of Costs

Type of Cost

Diagram

Explanation

Fixed cost (FC)

3-7-1-fixed-costs
  • The firm has to pay its fixed costs, which do not change, irrespective of whether the output is 0 or 100,000 units

  • The fixed costs for this firm are $4,000

Variable cost (VC)

3-7-2-variable-costs
  • The variable costs initially rise proportionally with output

  • At some point, the firm will benefit from a purchasing economy of scale and the rise will no longer be proportional

Total cost (TC)

_ZxiGabU_3-7-2-total-costs
  • The total cost is the sum of the variable and fixed costs

  • The total costs cannot be zero, as all firms have some level of fixed costs, even if they produce zero output

Average total cost (AC)

3-7-2-average-total-costs
  • As a firm grows, it is able to increase its scale of output generating efficiencies that lower its average total costs (AC) of production

  • These efficiencies are called economies of scale 

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

  • The reasons for the increase in average costs are called diseconomies of scale

Revenue

  • Total revenue is the total value of all sales a firm generates

      Total space revenue space left parenthesis TR right parenthesis space equals space selling space price space left parenthesis straight P right parenthesis space cross times space quantity space sold space left parenthesis straight Q right parenthesis

  • Average revenue is the overall revenue per unit. Average revenue is the technical economic name for "price"

Average space revenue space left parenthesis AR right parenthesis space equals space TR over straight Q
  

Revenue Calculation Example

P ($)

Q

TR begin mathsize 14px style left parenthesis straight P cross times straight Q right parenthesis end style

AR space TR over straight Q

8

1

8

8

7

2

14

7

6

3

18

6

5

4

20

5

4

5

20

4

3

6

18

3

2

7

14

2

1

8

8

1

  • Average revenue information is especially useful to a firm selling multiple products (e.g. supermarkets) or a firm that sells the same item at different prices (e.g. rail tickets are usually priced differently for different types of commuters such as pensioners or children)

  • The value in the AR column is identical to the value in the P column

Profit

  • Profit = total revenue (TR) - total costs (TC)

  • Breakeven occurs when TR = TC  This is the point at which the firm has generated enough revenue to cover all of its costs

    • No loss is made, but no profit is generated yet either

  • Profit occurs when TR > TC

  • A loss occurs when TR < TC

Profit Calculation Example

Output

TR (£)

TC (£)

 Profit (TR - TC)

5

150

70

80

6

180

96

84

7

210

210

0

8

240

260

-20

Worked Example

A business sells 50 pairs of shoes. Variable costs are $5 per pair of shoes and fixed costs are $100. Customers pay $100. Which one of the following equals $5000? (1)

  • A. Average Revenue

  • B. Total Costs

  • C. Profit

  • D. Total Revenue

The correct answer is: D. Total revenue

TR = Price x Quantity

TR = $100 X 50 = $ 5000

Explanation:

A. Average Revenue is not correct because TR/Q = $500/50 = $100

B. Total Costs is not correct because TC = TFC + TVC = 100 + (5X50) = $350

C. Profit is not correct because TR - TC = $5000 - $350 = $4650

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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.

Jenna Quinn

Author: Jenna Quinn

Expertise: Head of New Subjects

Jenna studied at Cardiff University before training to become a science teacher at the University of Bath specialising in Biology (although she loves teaching all three sciences at GCSE level!). Teaching is her passion, and with 10 years experience teaching across a wide range of specifications – from GCSE and A Level Biology in the UK to IGCSE and IB Biology internationally – she knows what is required to pass those Biology exams.