Microeconomics: Budget Lines and Demand
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Questions and Answers

What is the maximum amount of X that can be purchased if the income is $200 and the price of X is $5?

  • 20 units
  • 50 units
  • 40 units (correct)
  • 30 units
  • If a person buys one unit of X, how many units of Y can they purchase with the remaining income?

  • 22 units
  • 16 units
  • 20 units
  • 18 units (correct)
  • What does the slope of the budget line represent?

  • Total income
  • Total expenditure on X
  • Relative price of Y
  • Price of X over the price of Y (correct)
  • If the price of X increases, what effect does it have on the budget line?

    <p>Shifts the line inward</p> Signup and view all the answers

    How does an increase in income affect the budget line?

    <p>Shifts the line upward</p> Signup and view all the answers

    What happens to the budget line if the price of Y decreases?

    <p>It becomes flatter</p> Signup and view all the answers

    What represents the intercept of the budget line on the Y-axis?

    <p>Income divided by PY</p> Signup and view all the answers

    If a person receives a gift certificate of $20 for purchasing X, how does this affect their budget?

    <p>Increases income overall</p> Signup and view all the answers

    What does the variable Ed represent in the context of elasticity?

    <p>Price Elasticity of Demand</p> Signup and view all the answers

    If the price elasticity of demand is -1.14, what does this imply about quantity demanded in response to a price increase?

    <p>Quantity will decrease by 1.14 percent for every one percent increase in price.</p> Signup and view all the answers

    In the demand function Q = aP - b, what do the constants a and b represent?

    <p>Slope of the demand curve and fixed quantity sold, respectively.</p> Signup and view all the answers

    What happens to TOTAL REVENUE if the price rises and the price elasticity of demand is greater than 1?

    <p>Total revenue decreases.</p> Signup and view all the answers

    What is the significance of taking the natural logs of both sides in the function ln Q = ln2 – 3ln P?

    <p>It allows for the calculation of derivatives.</p> Signup and view all the answers

    In the equation dQ/dP, if Q = 2P - 3, what is the derivative of Q with respect to P?

    <p>4</p> Signup and view all the answers

    How does the coefficient of the variable in a logarithmic demand function relate to elasticity?

    <p>It directly provides the value of elasticity.</p> Signup and view all the answers

    If a demand curve is perfectly inelastic, what would be the value of price elasticity of demand?

    <p>0</p> Signup and view all the answers

    What do constraints in a constrained optimization problem primarily represent?

    <p>Restrictions or limits imposed on the decision maker</p> Signup and view all the answers

    Which term refers to the incremental impact of one additional unit of an independent variable on a dependent variable?

    <p>Marginal cost</p> Signup and view all the answers

    What characterizes a state of equilibrium in a market?

    <p>A condition that persists if no external factors change</p> Signup and view all the answers

    What is the primary use of comparative statics analysis?

    <p>Analyzing the effects of a change in an exogenous variable</p> Signup and view all the answers

    Which statement correctly defines reservation price?

    <p>The price at which a person is indifferent between acting or not acting</p> Signup and view all the answers

    In the context of a perfectly competitive market model, what does allocative efficiency aim to maximize?

    <p>Social welfare</p> Signup and view all the answers

    What happens to the market when it is out of equilibrium?

    <p>Exogenous factors prompt a return to equilibrium</p> Signup and view all the answers

    What does marginal reasoning in constrained optimization help determine?

    <p>The effect of decision variables on the objective function</p> Signup and view all the answers

    What is the effect on utility when additional X is added while Y decreases?

    <p>Utility will decrease due to the negative impact of decreasing Y.</p> Signup and view all the answers

    What does the Marginal Rate of Substitution (MRSx,y) represent?

    <p>The rate at which a consumer is willing to give up Y in exchange for an additional unit of X.</p> Signup and view all the answers

    Which of the following statements about the MRSx,y for a linear utility function is true?

    <p>The MRSx,y remains constant regardless of the quantities of X and Y consumed.</p> Signup and view all the answers

    In the utility function U(x, y) = 3x + y, what is the marginal utility of Y?

    <p>1</p> Signup and view all the answers

    For the utility function U = x^2 + y^2, how does the marginal utility of x behave?

    <p>It increases as more x is consumed.</p> Signup and view all the answers

    Is the 'more is better' assumption satisfied for the utility function U = 3x + y?

    <p>Yes, because both marginal utilities are always positive.</p> Signup and view all the answers

    What happens to MRSx,y as one moves along an indifference curve for the utility function U = x^2 + y^2?

    <p>It diminishes as the consumer substitutes x for y.</p> Signup and view all the answers

    What is the marginal utility of x in the utility function U = x^2 + y^2?

    <p>2x</p> Signup and view all the answers

    What does consumer equilibrium imply regarding the budget line and the highest indifference curve?

    <p>The highest indifference curve is tangential to the budget line.</p> Signup and view all the answers

    Which equation represents the equality between marginal utility and price at consumer equilibrium?

    <p>MU_X/PX = MU_Y/PY</p> Signup and view all the answers

    What condition must be satisfied for a consumer to maximize their total utility?

    <p>The ratio of marginal utilities of the goods must equal the relative price ratio.</p> Signup and view all the answers

    In the constrained maximization problem, what does the Lagrangean function represent?

    <p>The utility function adjusted for constraints.</p> Signup and view all the answers

    What can be derived from the condition that MRS_X,Y equals the relative price ratio?

    <p>The consumer has reached optimal consumption of goods X and Y.</p> Signup and view all the answers

    Which inequality represents the condition applicable at consumer equilibrium?

    <p>MU_X/PX = MU_Y/PY</p> Signup and view all the answers

    What is the implication of cross-multiplying in the equation MU_X/MU_Y = PX/PY?

    <p>It shows the relationship between marginal utilities and prices.</p> Signup and view all the answers

    Which statement best describes the consumer's utility function U(F, C) = FC?

    <p>Utility is derived from a multiplicative relationship between both goods.</p> Signup and view all the answers

    What is the relationship between the elasticity of demand for Good X and income $I$?

    <p>It is equal to 1.</p> Signup and view all the answers

    In a Cobb-Douglas utility function, what does the equation $U(x,y) = x^{eta}y^{eta}$ imply about the consumer's preferences?

    <p>The consumer allocates income proportional to the values of α and β.</p> Signup and view all the answers

    What does the budget constraint $I = p_x x + p_y y$ represent in the context of consumer choices?

    <p>The total expenditure on goods x and y.</p> Signup and view all the answers

    How would you express the optimal choice of good X in terms of income and prices according to the given context?

    <p>X* = (αI)/P_x</p> Signup and view all the answers

    If the sum of α and β in a Cobb-Douglas function equals 1, how does this affect the consumer's allocation of income?

    <p>The consumer will allocate a constant percentage of income to each good.</p> Signup and view all the answers

    In the first-order conditions for a maximum, what do the equations $\frac{\partial \mathcal{L}}{\partial x} = 0$ and $\frac{\partial \mathcal{L}}{\partial y} = 0$ signify?

    <p>The marginal utility per dollar spent on each good is equal.</p> Signup and view all the answers

    What does the equation $p_y y = \frac{(1-α)}{α} p_x x$ inform about the consumption choice between goods x and y?

    <p>It establishes a fixed relationship between the amounts of good x and good y consumed.</p> Signup and view all the answers

    If a consumer's preferences are represented by the Cobb-Douglas utility function and α + β < 1, what is the effect on their consumption choices?

    <p>They will spend less than their total income.</p> Signup and view all the answers

    Study Notes

    General Economics Study Notes

    • Economics is the study of how society allocates its scarce (limited) resources to satisfy unlimited wants.
    • Choices are made by considering the expected benefits and costs of decisions, and their consequences.
    • Microeconomics studies the economic behavior of individual decision-makers (consumers, firms, etc.) and markets.
    • Macroeconomics examines the overall economy and its aggregates (like GDP, inflation, unemployment).

    Model Building in Economics

    • Models simplify complex real-world situations.
    • Exogenous variables are taken as given outside the model.
    • Endogenous variables are determined within the model.

    Constrained Optimization Models

    • Economists use constrained optimization to model situations where decision-makers want to choose the best outcome given limitations or constraints.
    • In mathematical terms, the relationship to be optimized is call the objective function, and the limitations or conditions the constrains to the problem.

    Equilibrium Analysis

    • Equilibrium analysis examines states or conditions that will persist until an outside factor causes change.
    • Markets move towards equilibrium where quantity demanded equals quantity supplied and price is in balance

    Comparative Statics

    • Comparative Statics can be used to calculate how one variable will affect another following a change in an exogenous variable

    Cost-Benefit Approach

    • If the benefit of an activity exceeds its cost, do it.
    • Reservation Price is the price at which a person is indifferent between doing an activity and not doing it.
    • Market prices are often determined by the tension between buyers' desire for lower prices and sellers' desire for higher prices.

    Positive and Normative Economics

    • Positive economics describes how the economy actually works.
    • Normative economics offers recommendations about how the economy should operate.

    Ceteris Paribus Assumption

    • All other relevant factors are constant, while analyzing the effects of one factor

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    Description

    This quiz covers essential concepts of microeconomics including budget lines, elasticity, and consumer demand. It explores how changes in income and prices affect purchasing decisions and total revenue. Test your knowledge on the implications of these variables in economic theory.

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