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The concept of the margin Simplified Revision Notes

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2.7 The concept of the margin

DEFINITION:

  1. Margin: the impact of one more unit, such as marginal cost, which is additional cost as a result of increasing production by one unit
  2. Marginal Utility: Marginal utility is the additional satisfaction or benefit received from consuming one more unit of a good or service.
  3. Total Utility: Total utility is the overall satisfaction or benefit obtained from consuming a given total quantity of a good or service.
  4. Diminishing Marginal Utility: Diminishing marginal utility is the principle that as more of a good or service is consumed, the additional satisfaction gained from consuming each additional unit decreases.

Explain:

2.7.1 Margin

In economics, "margin" refers to the additional or incremental change resulting from a decision. It's often used to describe the extra benefit or cost associated with producing or consuming one more unit of a good or service. Key concepts related to margin include:

  • Marginal Cost (MC): The additional cost incurred from producing one more unit of a good or service.
  • Marginal Revenue (MR): The additional revenue gained from selling one more unit of a good or service.
  • Marginal Utility (MU): The additional satisfaction or benefit derived from consuming one more unit of a good or service. Understanding margin helps in analysing decision-making processes and optimizing resource allocation.

2.7.2 Total and marginal utility, diminishing marginal utility and the demand curve

Total and Marginal Utility

Total Utility: This is the total satisfaction or benefit derived from consuming a certain quantity of a good or service. It measures the overall happiness or pleasure a consumer gains from all units consumed.

Marginal Utility: This is the additional satisfaction or benefit gained from consuming one more unit of a good or service. It is the change in total utility that results from a one-unit increase in consumption.

Diminishing Marginal Utility

Diminishing Marginal Utility: This principle states that as a person consumes more units of a good or service, the additional satisfaction (or marginal utility) from each additional unit will eventually decrease. In other words, the more of a good you consume, the less additional satisfaction you get from consuming an extra unit.

The Demand Curve

Demand Curve: The demand curve represents the relationship between the price of a good or service and the quantity demanded by consumers. It typically slopes downward from left to right, illustrating the law of demand: as the price of a good decreases, the quantity demanded increases, and vice versa. This negative relationship is often explained by diminishing marginal utility—consumers are willing to pay less for additional units as their marginal utility decreases.

In summary:

  • Total Utility is the overall satisfaction from consumption.
  • Marginal Utility is the additional satisfaction from one more unit.
  • Diminishing Marginal Utility explains that marginal utility decreases with increased consumption.
  • The Demand Curve reflects the negative relationship between price and quantity demanded, influenced by diminishing marginal utility.

Explain and calculate

2.7.3 Marginal Values

Marginal Values in Economics

Key Types of Marginal Values:

  1. Marginal Cost (MC): The additional cost of producing one more unit of output.
  2. Marginal Revenue (MR): The additional revenue gained from selling one more unit of output.
  3. Marginal Utility (MU): The additional satisfaction or utility gained from consuming one more unit of a good or service.

Calculation of Marginal Values:

  1. Marginal Cost (MC): MC=ΔTotal CostΔQuantity\text{MC} = \frac{\Delta \text{Total Cost}}{\Delta \text{Quantity}}
lightbulbExample

Example: If the total cost of producing 5 units is £100 and the total cost of producing 6 units is £120, then:

MC=£120£10065=£201=£20\text{MC} = \frac{£120 - £100}{6 - 5} = \frac{£20}{1} = £20

  1. Marginal Revenue (MR): MR=ΔTotal RevenueΔQuantity\text{MR} = \frac{\Delta \text{Total Revenue}}{\Delta \text{Quantity}}
lightbulbExample

Example: If the total revenue from selling 5 units is £200 and the total revenue from selling 6 units is £230, then:

MR=£230£20065=£301=£30\text{MR} = \frac{£230 - £200}{6 - 5} = \frac{£30}{1} = £30

  1. Marginal Utility (MU): MU=ΔTotal UtilityΔQuantity\text{MU} = \frac{\Delta \text{Total Utility}}{\Delta \text{Quantity}}
lightbulbExample

Example: If consuming 2 apples provides a total utility of 15 units and consuming 3 apples provides a total utility of 20 units, then:

MU=201532=51=5 utility units\text{MU} = \frac{20 - 15}{3 - 2} = \frac{5}{1} = 5 \text{ utility units}


Importance of Marginal Values:

  • Marginal Cost: Helps firms determine the cost of increasing production and aids in profit-maximizing output decisions.
  • Marginal Revenue: Assists firms in understanding how revenue changes with each additional unit sold and in setting optimal prices.
  • Marginal Utility: Guides consumers in making decisions about how much of a good or service to consume based on the additional satisfaction gained.
infoNote

Example Application:

Consider a company producing widgets. The total cost of producing 10 widgets is £500, and the total cost of producing 11 widgets is £550. The marginal cost of producing the 11th widget is calculated as follows:

MC=£550£5001110=£501=£50\text{MC} = \frac{£550 - £500}{11 - 10} = \frac{£50}{1} = £50

If the company can sell the 11th widget for £70, the marginal revenue is:

MR=£701=£70\text{MR} = \frac{£70}{1} = £70

The company should produce the 11th widget because the marginal revenue (£70) exceeds the marginal cost (£50), indicating a profit of £20 for that unit.

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