Understanding Utility & the Equi-Marginal Principle (Cambridge (CIE) A Level Economics): Revision Note
Exam code: 9708
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 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:
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:
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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