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What are the two considerations on the consumer choice model when choosing bundles?
individual preferences and possible combinations within a given price
What are two constraints in the 2 good setting?
the individual has a per-period income and there is a set price of good J
What must happen in this consumer choice model?
The individual cannot save or borrow. They must spend all their income
What are all the points on the line of the budget constraint graph?
all possible bundles within the constraints
What bundle will consumers choose?
the one that yields the most utility
What is the consumer’s utility function?
u = f (x, y)
What does a consumer’s utility function identify?
the utility that is attained/realized from every bundle
Marginal Utility
change in utility/change in x
Law of diminishing marginal utility
as consumption of a good rises (all else constant) beyond a point, the utility will increase but at a decreasing rate
What is slope on a utility graph?
Slope is positive at any point.
What is slope at any point on a utiltiy graph?
the marginal (change in utility/change in x)
What do inviduals prefer?
more over less
What can we derive from a utility function?
a set of functions that will be critical for solving the consumer’s optimization problem. These are called indifference functions
What does an indifference function identify?
all bundles that yield the same amount of utility
What are the three relationships between economic goods?
perfect substitutes
imperfect substitutes
complements
Perfect Substitutes
goods that a consumer can replace with one another at a constnat rate while maintaining the same level of satisfaction
Linear
Imperfect Substitutes
Goods/services that are substitutes but not the same. As a consumer uses more of one good and less of another, the rate at which they are willing to trade one for the other changes
Convex (bowed inward toward origin). Slope changes at every point
How do you find the slope at any given point on a graph for imperfect substitutes?
ratio of marginal utilities of x and y (x/y)
Complements
Goods that consumers must use together in a fixed, unvarying proportion
L shaped graph, the corner represents the required proportion.
What does the slope on the flat/vertical parts of a complement graph mean?
infinite or zero willingness to trade
What does the indifference curve look like when both are economic bads?
downward sloping because one of them rises as the other increases
If utility remains constant and you have to experience one bad, the exposure to the other must decrease
What does the indifference curve look like when one is an economic bad and the other is a good?
the indifference curves are positive sloping
If utility is constant and the bad increases, then the good must also increase
Higher indifference curves are associated with…
greater levels of utility
What does a budget constraint show?
what consumers can do
What does the consumer choice model/indifference curve model show?
what consumers would like to do
What does an optimization graph show/
what the consumer will do
Where does the best bundle occur?
at the tangent point between the indifference curve and budget constraint
If you identify the optimal x and y bundle what else have you identified?
a point on the demand curve for good x and good y
What happens if price of one good goes up on an optimization graph?
your budget constraint shifts inward so you’re forced to consume along a lower indifference curve, which has lower utility
Marginal Rate of Substitution
slope at a given point of an indifference curve
MUx/MUy
What is the slope at the tangency point on a consumer optimization graph?
Slope of the budget constraint = to the slope of the tangential indifference curve
Where is utility maximized?
where marginal utility per dollar is equal over goods on the final units purchased
What does marginal utility being equal over goods mean?
you don’t only take into account the satisfaction you get from goods or just the prices of goods. You take both into account