Micro in Biz Week 2 Flashcards
(165 cards)
What does an indifference curve represent in consumer theory?
An indifference curve represents a set of consumption bundles that provide the consumer with the same level of satisfaction.
Why do points A and B on an indifference curve matter?
Points A and B represent consumption bundles that offer the same level of satisfaction to the consumer.
Define the budget constraint in consumer theory.
The budget constraint shows the limit on the consumption bundles a consumer can afford, determined by their income and the prices of goods.
Why cannot consumers consume everything they desire?
Consumers are limited by their income, which constrains their ability to purchase desired goods.
Write and explain the budget equation.
The budget equation is xPx + yPy = M, where: x = quantity of good X, y = quantity of good Y, Px = price of good X, Py = price of good Y, M = consumer’s income.
This equation shows how a consumer allocates their income (M) between two goods (x and y). The total cost of purchasing x units of good x (at price Px) and y units of good y (at price Py) cannot exceed their total income.
What does a point below the budget constraint represent?
A point below the budget constraint represents an affordable consumption bundle where some income remains unspent.
What does a point on the budget constraint represent?
A point on the budget constraint represents a consumption bundle that uses all available income.
How is the slope of the budget constraint calculated, and what does it represent?
The slope is calculated as the ratio of the prices of the two goods, -Px / Py. It represents the relative price of one good compared to the other and the rate at which the consumer can trade them.
How does an increase in income affect the budget constraint?
An increase in income shifts the budget constraint outward (to the right) in a parallel manner, as the relative prices of goods remain unchanged.
How does a decrease in income affect the budget constraint?
A decrease in income shifts the budget constraint inward (to the left) in a parallel manner, without changing the relative prices of goods.
What happens to the budget constraint if the price of one good increases?
The budget constraint pivots inward on the axis of the good that remains unchanged in price.
What happens to the budget constraint if the price of one good decreases?
The budget constraint pivots outward on the axis of the good that remains unchanged in price.
List the key properties of indifference curves.
- Higher indifference curves are preferred to lower ones. 2. Indifference curves are downward sloping. 3. Indifference curves do not cross. 4. Indifference curves are convex. 5. The slope equals the marginal rate of substitution.
What does the slope of the indifference curve represent?
The slope of the indifference curve represents the marginal rate of substitution, which is the rate at which a consumer is willing to trade one good for another while maintaining the same utility level.
How is the consumer’s optimum determined?
The consumer’s optimum is determined at the point where the highest indifference curve is tangent to the budget constraint.
State the mathematical condition for the consumer’s optimum.
At the consumer’s optimum: MRS = Px / Py, meaning the consumer’s valuation equals the market’s valuation of the two goods.
What does the term marginal rate of substitution mean?
The marginal rate of substitution measures the amount of one good a consumer is willing to give up to obtain one more unit of another good while maintaining the same satisfaction level.
Write the mathematical representation of MRS in terms of marginal utilities.
MRS = MUx / MUy, where MUx = change in utility from one more unit of X, and MUy = change in utility from one more unit of Y.
What are the types of utility functions commonly used in consumer theory?
- Perfect substitutes utility function. 2. Perfect complements utility function. 3. Cobb-Douglas utility function.
What is the utility function for perfect substitutes, and what does it imply?
The utility function is U = aX + bY, where a and b are positive constants. It implies that goods X and Y can replace each other at a constant rate.
What is the utility function for perfect complements, and what does it signify?
The utility function is U = min(aX, bY), where a and b are positive constants. It signifies that the goods must be consumed in fixed proportions to provide utility.
What is the Cobb-Douglas utility function, and how does it model preferences?
The utility function is U = Xa Yb, where a and b represent the weights of goods X and Y in the consumer’s preferences. It reflects a balanced preference for both goods based on their exponents.
How does an increase in income shift the consumer’s optimum?
An increase in income shifts the budget constraint outward, allowing the consumer to move to a higher indifference curve and select a new optimum bundle.
What happens to the consumer’s optimum if the price of one good decreases?
A decrease in the price of one good pivots the budget constraint outward, enabling the consumer to achieve a higher level of satisfaction by reaching a new optimum.