Understanding Utility & the Equi-Marginal Principle (Cambridge (CIE) A Level Economics): Revision Note

Exam code: 9708

Charlotte

Written by: Charlotte

Reviewed by: Steve Vorster

Updated on

Utility theory

  • Utility is the satisfaction gained from consumption 

    • Marginal utility is the additional utility (satisfaction) gained from the consumption of an additional product

  • The utility gained from consuming the first unit is usually higher than the utility gained from consuming the next unit

    • For example, a hungry consumer gains high utility from eating their first hamburger. They are still hungry and purchase a second hamburger but gain less satisfaction from eating it than they did from the first hamburger

  • To calculate total utility, the marginal utility of each unit consumed is added together

    • This means that total utility keeps increasing even while marginal utility is decreasing

  • The Law of Diminishing Marginal Utility states that as additional products are consumed, the utility gained from the next unit is lower than the utility gained from the previous unit

  • A consumer achieves utility maximisation when they spend their limited income in such a way that they will achieve the most satisfaction from their money

Diminishing marginal utility

  • The law of diminishing marginal utility states that as additional products are consumed, the utility gained from the next unit is lower than the utility gained from the previous unit

  • The law of diminishing marginal utility helps to explain why the demand curve is downward sloping

    • When the first unit is purchased, the utility is high and consumers are willing to pay a high price

    • When subsequent units are purchased, each one offers less utility and the willingness of the consumer to pay the initial price decreases

    • Lowering the price makes it a more attractive proposition for the consumer to keep consuming additional units

    • This is one reason why firms offer discounts such as '50% off the second item' 

A person enjoys cake with a spoon, holding a slice on a plate with a coffee nearby. Text above reads, "The more you have, the less you enjoy each extra bite!"
The marginal utility decreases with every additional bite
  • A consumer achieves utility maximisation when they spend their limited income in such a way that they will achieve the most satisfaction from their money

  • When marginal utility is zero, total utility is maximised

The equi-marginal principle

  • The equi-marginal principle helps explain how a rational consumer allocates their limited budget to gain the most utility

    from their spending

  • A person is in consumer equilibrium when they cannot rearrange their spending to gain more total enjoyment

  • In economic terms, this happens when:

  • MUa over Pa space equals space MUb over Pb space

  • Where

    • MU = marginal utility (extra satisfaction from one more unit)

    • P = price of the product

    • a and b are different products

Worked Example

  • Imagine a consumer has £10 to spend and is choosing between:

    • Bubble tea (£2 per cup)

    • Spotify Premium (£1 per day)

  • They want to gain the most enjoyment from their money. The table below shows how much satisfaction (utility) they gain from each extra unit of bubble tea or Spotify, and how much satisfaction per £1 spent

Finding consumer equilibrium

Bubble Tea (£2 each)

Quantity

MU

MU/£

1

40

20

2

36

18

3

30

15

4

20

10

5

10

5

Spotify (£1/day)

Quantity

MU

MU/£

1

30

30

2

24

24

3

18

18

4

12

12

5

6

6

Analysis

  • The consumer maximises utility by applying the equi-marginal principle

  • Utility is maximised when:

MUa over Pa space equals space MUb over Pb space

  • The optimal bundle within the £10 budget is:

    • 3 Bubble Teas (£6)

    • 4 Spotify days (£4)

  • At this combination:

    • MU/£ of the last bubble tea = 15

    • MU/£ of the last Spotify day = 12

  • Perfect equality is not achieved because:

    • Goods are indivisible

    • Prices differ (£2 vs £1)

    • The budget constraint prevents further fine adjustment

  • Consumer equilibrium is therefore defined as the point where:

    • No reallocation of expenditure increases total utility

  • If £2 were reallocated from bubble tea to Spotify:

    • The marginal utility gained from additional Spotify would be less than the marginal utility lost from bubble tea

    • Total utility would fall

  • Hence, the chosen bundle represents constrained utility maximisation

Examiner Tips and Tricks

You should remember that this concept assumes the consumer is rational, wants to maximise happiness and has a fixed budget

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Charlotte

Author: Charlotte

Expertise: Business Content Creator

Charlotte joined Save My Exams in 2024 with over 30 years of teaching experience in Business and Economics. A former Head of Business and Economics, she has inspired thousands of students across diverse settings in Lancashire. Known for her engaging approach, Charlotte also organized educational trips to destinations like New York and Shanghai, expanding students' global perspectives. She is currently an Edexcel A-Level Economics examiner, with over 20 years of experience in exam boards. Charlotte holds a BA (Hons) in Economics and Public Policy from Leeds Metropolitan University and a PGCE from Manchester University. In her spare time, she enjoys walking her Labradors and watching football.

Steve Vorster

Reviewer: 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.