Consumer Behaviour and Utility Maximization Petros Kosmas Ph

Consumer Behaviour and Utility Maximization Petros Kosmas, Ph. D Lecturer, Varna Free University Lecturer, CASA College Lecture 7

Down-Sloping Demand Curve • Income effect - The impact the change in the price of a product has on a consumer’s real income. • Substitution effect - The impact the change in a product’s price has on its relative expensiveness. • Diminishing Marginal Utility

Law of Diminishing Marginal Utility • As a buyer consumes more units of a product, each additional unit provides less additional utility. • Terminology - Utility: the ability to satisfy a want - subjective (utility varies from person to person) - Utils: Imaginary unit of measure of satisfaction

Utility • Total utility - The total amount of satisfaction a person derives from consuming some specific quantity of a product. • Marginal utility - The additional satisfaction a consumer realizes from an additional unit of that product.

Hamburgers Total utility Marginal consumed (utils) Utility (utils) 0 0 1 10 10 2 18 8 3 24 6 4 28 4 5 30 2 6 30 0 7 28 -2

TU

Hamburgers Total utility Marginal consumed (utils) Utility (utils) 0 0 1 10 10 2 18 8 3 24 6 4 28 4 5 30 2 6 30 0 7 28 -2

MU

Law of Diminishing Marginal Utility • Relation to Demand – As marginal utility diminishes, buyers will buy additional units only if the price falls. (Downward sloping demand curve) • Relation to Elasticity – The amount by which marginal utility declines helps determine the product’s price elasticity of demand.

Law of Diminishing Marginal Utility Relation to Elasticity Marginal Utility Decline Demand Elasticity Rapid Inelastic Slow Elastic

Theory of Consumer Behavior • Rational behavior – Consumers will use their money to derive the greatest amount of utility (Total Utility). • Preferences – Each consumer has clearcut preferences for certain goods, and knows how much marginal utility each successive unit will give them.

Theory of Consumer Behavior • Budget Restraint – At any point in time, the consumer has a fixed amount of money income. • Prices – Every good and service carries a price tag. The individual consumer cannot affect the product’s price. *Therefore: The consumer must choose the combination of goods and services that provides the greatest amount of utility within the budget restraint.

Utility Maximizing Rule To maximize satisfaction the consumer allocates his money income so that the last dollar spent on each product yields the same amount of marginal utility.

Income = $10 Example Unit of product Product A=$1 MU Product B=$2 MU 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 10 8 7 6 5 4 3 24 20 18 16 12 6 4

Income = $10 Example Unit of product Product A=$1 MU MU/price Product B=$2 MU MU/price 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 10 8 7 6 5 4 3 24 20 18 16 12 6 4 10 8 7 6 5 4 3 12 10 9 8 6 3 2

Income = $10 - $2 = $8 Unit of product Product A=$1 MU MU/price Product B=$2 MU MU/price 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 10 8 7 6 5 4 3 24 20 18 16 12 6 4 10 8 7 6 5 4 3 12 10 9 8 6 3 2

Income = $8 - $3 = $5 Unit of product Product A=$1 MU MU/price Product B=$2 MU MU/price 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 10 8 7 6 5 4 3 24 20 18 16 12 6 4 10 8 7 6 5 4 3 12 10 9 8 6 3 2

Income = $5 - $2 = $3 Unit of product Product A=$1 MU MU/price Product B=$2 MU MU/price 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 10 8 7 6 5 4 3 24 20 18 16 12 6 4 10 8 7 6 5 4 3 12 10 9 8 6 3 2

Income = $3 - $3 = $0 Unit of product Product A=$1 MU MU/price Product B=$2 MU MU/price 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 10 8 7 6 5 4 3 24 20 18 16 12 6 4 10 8 7 6 5 4 3 12 10 9 8 6 3 2

Income = $10 Unit of product Example Product A=$1 MU MU/price Product B=$2 MU MU/price 1 st 10 10 24 12 2 nd 8 8 20 10 3 rd 7 7 18 9 4 th 6 6 16 8 5 th 5 5 12 6 6 th 4 4 6 3 7 th 3 3 4 2 2 of A + 4 of B: Total Utility = 18 + 78 = 96 utils

Possible Combinations A ($1) B($2) Total Utility Total Price 0 5 90 $10 2 4 96 $10 4 3 93 $10 6 2 84 $10 8 1 69 $10 10 0 46 $10

Maximum Utility A ($1) B($2) Total Utility Total Price 0 5 90 $10 2 4 96 $10 4 3 93 $10 6 2 84 $10 8 1 $10 10 0 $10

Using the marginal utility data from the previous example, determine the utility-maximizing combination of goods A and B with a money income of $14.

Income = $14 - $10 = $4 Unit of product Product A=$1 MU MU/price Product B=$2 MU MU/price 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 10 8 7 6 5 4 3 24 20 18 16 12 6 4 10 8 7 6 5 4 3 12 10 9 8 6 3 2

Income = $4 - $1 = $3 Unit of product Product A=$1 MU MU/price Product B=$2 MU MU/price 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 10 8 7 6 5 4 3 24 20 18 16 12 6 4 10 8 7 6 5 4 3 12 10 9 8 6 3 2

Income = $3 - $3 = $0 Unit of product Product A=$1 MU MU/price Product B=$2 MU MU/price 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 10 8 7 6 5 4 3 24 20 18 16 12 6 4 10 8 7 6 5 4 3 12 10 9 8 6 3 2

Algebraic Restatement • Maximum consumer satisfaction Last dollar spent on product A yields the same amount of marginal utility as the last dollar spent on product B, C, …X • In other words, the marginal utility per dollar spent on A = the marginal utility per dollar spent on B, C, …X

Algebraic Restatement

From the Original Example

Inferior Options A ($1) B($2) Total Price 0 5 $10 2 4 $10 4 3 $10 6 2 $10 8 1 $10 10 0 $10

Inferior Options

Deriving the Demand Schedule (Product B, Income = $10) Price Per unit of B Quantity Demanded $2 4 $1 ?

Income = $10 Unit of product Product A=$1 MU MU/price Product B=$1 MU MU/price 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 10 8 7 6 5 4 3 24 20 18 16 12 6 4

Deriving the Demand Schedule (Product B, Income = $10) Price Per unit of B Quantity Demanded $2 4 $1 6

The Demand Curve P DB $2 $1 4 6 Q