1. Joe Bob has a utility function given by u (x₁, x2) = x² + x3 + 2x1x2. (a) Compute Joe Bob's marginal rate of substitution. (b) Joe Bob's cousin, Al, has a utility function given by v (1,2)= x1 + x2. Compute Al's marginal rate of substitution. (c) Do u (x1, x2) and v(x1,x2) represent the same preferences?
Q: We saw that former Federal Reserve Chairman Ben Bernanke argued that low interest rates in the…
A: The value of the products and services in the international markets depends on the exchange rate for…
Q: A Collage student borrowed $5,000 on August 1 from the bank and must repay a total of $5,300 on July…
A: Interest is charged on the borrowed money. The interest rate is charged per period. The interest is…
Q: 3.5 The Phillie Phanatic (PP) always eats his ballpark franks in a special way; he uses a foot-long…
A: A utility function represents a consumer's preferences for a group of products or services…
Q: Has the regulation of privatised industries added value to UK society?
A: A privatized industry is an industry that was previously owned and operated by the government, but…
Q: Explain the current Canadian unemployment rate in economic terms. No COVID-19 INCLUDED!!!
A: The term unemployment refers to a situation in which people would be ready to work and actively look…
Q: P 15 13 12. 2 100 mc. ate ave 300 400 Q
A: A perfectly competitive firm refers to a market system, where there are many sellers selling…
Q: A regression model to predict Y, the state burglary rate per 100,000 people, used the following four…
A: In a hypothesis test, critical values (CV) mark the transition from nonsignificant to significant…
Q: 1. Why does a government use regulations?
A: Government regulation refer to the act of government through which it interferes in the market to…
Q: If domestic saving is less than domestic investment, then investment can be financed by: the budget…
A: Domestic savings refers to the amount of income saved by the citizens of the country during a period…
Q: For a perfectly competitive firm, P > MC at its current level of output. Then, this firm should…
A: Perfect competition refers to a market model in which a large number of customers and sellers have…
Q: Which of the following types of change represents the paradigm dimension? A. Changes in the…
A: Innovation is known as the process of creating new or fusing new thing. In an organisation's…
Q: 3. What does it mean to be out of the labour force? Explain in detail.
A: The labor force implies the number of people of working age, generally considered as fifteen to…
Q: 1. Assume a market for a normal good is currently in equilibrium. If the government increases the…
A: In economics, equilibrium refers to a state where the quantity of a good or service supplied by…
Q: Which of the following would result in equilibrium shifting from point C to point A? A. There was…
A: Market demand for a commodity can change as a result of a change in consumers income, their tastes…
Q: Define and explain the main principles of contract law
A: Agreements become enforceable under law just when it turns into a contract subsequent to meeting the…
Q: a) In what direction would the substitution effect push the consumption of food? [Hint: The…
A: a) The rise in the price of the food results in the good to be costlier and the substitution effect…
Q: For the cash flows shown in the table, determine the future worth in year 8 at an interest rate of…
A: FV = PV(1+r)n FV = Future Value PV = Present Value r = annual interest rate n = number of periods
Q: The table below shows the amount of total utility Cal gets from playing his favorite video game…
A: Marginal utility can be defined as the additional utility that a consumer would get by consuming…
Q: 2. Reflecting on the factors that influence elasticity of demand, put the commodities in each set in…
A: Price elasticity of demand basically measures how responsive the amount of an item or service that…
Q: Suppose a dog house manufacturer sells two types of dog houses. Let x represent the demand for the…
A: Given Demand Equations : P1=8.3-0.5x-0.2y P2=7-0.1x-0.8y a) Revenue = Price*Quantity Total…
Q: Consumption of Fixed Capital Government Purchases US imports Personal Taxes Transfer Payments US…
A: National income analysis is the economic method to study the total income that is earned by the…
Q: The owners of a QPedix, a small manufacturing company, have hired a manager to run the company. The…
A: Given information Compensation of the new Vice President=Flat salary +share of the profit Flat…
Q: Suppose you have t = 5 hours in total to spend on some projects to make some money. The table below…
A: Marginal revenue will be computed as change in total revenue divided with change in total quantity
Q: The value of 100 South Korean Won (KRW) against the Japanese Yen (JPY) rose from 9.7730 in May 2014…
A: Exchange rate: The value of one currency in another currency's terms is known as the nominal…
Q: Year 2015 2016 2017 2018 Bangaladesh GDP per person (2010 constant U.S. dollars) $1002.39 $1062.04…
A: GDP refers to the Gross Domestic Product obtained from adding the market value of all final goods…
Q: Bob is a skilled toy maker who is able to produce both cars and puzzles. He has 8 hours a day to…
A: Production possibilities frontier shows maximum possible quantities of goods with the given level of…
Q: Suppose that each worker in the Foreign country can produce two cars or three TVs. Assume that…
A:
Q: In an OPEN economy domestic lending must equal domestic borrowing and domestic real interest rate…
A: An open economy is the one in which people are allowed to buy or sell goods and services with the…
Q: David and Morgan are farmers. Each one owns an 18-acre plot of land. The following table shows the…
A: The best input combinations to achieve the highest level of output are displayed on the production…
Q: 5. Consider a game in which two players, Fred and Barney, take turns removing matchsticks from a…
A: According to the game theory, a player's strategy is any of the ways they decide in a setting where…
Q: Suppose a US medical board is using marginal analysis to determine the optimal screening frequency…
A: The efficient quantity for a product will be the quantity that makes marginal benefit equal to…
Q: Which of the following should give you better returns? a. One and a half years rate of interest of 8…
A: When talking about rate of return, it can be said that the compounding period has a significant…
Q: Using the SLM of Depreciation, what is the book value of equipment bought at P80,000 after 3 years…
A: Introduction Depreciation is the term used to describe how fixed assets lose value over time owing…
Q: Consider an economy with two goods, cheese and salad. Suppose that the prices and quantities sold in…
A: DISCLAIMER “Since you have asked multiple questions, we will solve the first three subparts for…
Q: Assume two firms with the same constant average and marginal cost, AC = MC = , facing the market…
A: DISCLAIMER “Since you have asked multiple questions, we will solve the first question for you. If…
Q: The figure on the right shows the average monthly flows (in millions) between employment,…
A: Unemployment is an expression that implies individuals who are employable and actively seeking a job…
Q: The North American Free Trade Agreement (NAFTA) has developed a) b) c) d) a decrease in trade among…
A: The United States, Canada, and Mexico joined together to form a trading bloc in North America under…
Q: d. What is the firm's total variable cost at this level of output? e. What is the firm's fixed cost…
A: A perfectly competitive market is a theoretical market formation where all companies offer…
Q: Page 1 3) Consider an American call option on New Zealand dollars (NZ$) with a strike price of…
A: It is simple to determine the exchange rate at which two investments with differing currency values…
Q: Here are three things that you could do if you do not attend your next-door neighbor's barbecue:…
A: Elasticity measures the responsiveness of quantity demanded to changes in the price level.
Q: Javier consumes large pepperoni pizzas, Z, and boxes of graham crackers, G. Each of his indifference…
A: indifference curve shows the two goods combinations which give same satisfaction to the consumer.
Q: Find the shortage that would be created if the govt imposes a price ceiling of $100. Qd=500-P and Qs…
A: Price ceiling is government imposed price control for a commodity above which the prices are not…
Q: 6. If it is announced today that the interest rate in Australia is being reduced from 4% to 3% for…
A: The exchange rate is defined as the representation of the domestic currency in terms of the currency…
Q: Discuss the view that de-industrialisation is a problem for the UK economy.
A: De-industrialization is the term used to describe how the manufacturing sector of a nation's economy…
Q: Table: Marginal Benefit from Additional Streetlights Dave's Individual Marginal Benefit Quantity of…
A: In economics, an individual will make rational decision when he is able to gain something from any…
Q: The vertical part of the Aggregate supply curve shows Select one: a) Perfectly inelastic supply…
A: Good is said to be elastic when the percentage change in quantity is greater than the percentage…
Q: Assume that good Z is an inferior good for a consumer. If the consumer's income increases, then A.…
A: “Since you have posted multiple questions, we will provide the solution only to the first question…
Q: The monopoly firm pictured above will produce an output level of ______ units. A. 30 B. 40 C. 50 D.…
A: Monopolist: A monopolist is a single seller in the market and hence he faces the downward sloping…
Q: Problem 6 Corolla Exports and Pass-Through Assume that the export price of a Toyota Corolla from…
A: Exchange rates are the cost of a currency in relation to another. There are two types of exchange…
Q: a. List down 3 major inventions from the 20th century to present that facilitated globalization. b.…
A: The term "globalization" describes the growing interdependence and interconnection of nations,…
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
- 1 Marginal utility and marginal rate of substitution Suppose an individual who derives utility u(x, y) from consuming a units of good X and y units of good Y. For each of the following utility functions, derive the marginal utility of good X, the marginal utility of good Y, and the marginal rate of substitution between X and Y. (A) u(x, y) = x+by¹/3 (B) u(x, y) = (xy) (C) u(x, y) = ax + xy + by² (D) u(x, y) = n(ax + y) 1 (E) u(x, y) = (x² + √y²) = 21. Calculate the marginal rate of substitution for the following utility functions: (a) u(x1, x2) = ax₁ + bx2 (b) u(x1, x2) = 2√√x₁ + x₂ (c) u(x1, x2) = ln(x₁) + x2 (d) u(x1, x2) = x1x2 (e) u(x1, x2) = xx h (f) u(x₁, x₂) = x + x² 2. Marie Curie has a utility function U(x, y) = max{x, 2y}. Note that the max{} function es- sentially says that the value of the function takes the highest of the values in the set (the set is denoted as the things inside the curly braces). (a) Draw a graph, plotting the indifference curve along which U(x, y) = 10. (b) Are Marie's preferences convex?(a) Suppose we have preferences U(X, Y) = min [X, 3Y]. Graph/sketch the indifference curve through the bundle (X = 30, Y = 30). What is the utility of (30, 30) and explain why the indifference curves look the way they do. (b) What does the Marginal Rate of Substitution tell us about preferences? < (c) Why is the Marginal Rate of Substitution not applicable in this example? < (d) What do we mean by a composite good? What does this composite good look like with these preferences? Show and explain.< (e) State the consumer's maximization problem and express this in words.< (f) Now let Px = 10, Px= 20 and income M = 2000. Find optimal X*, Y*, and the resulting Utility (U*). Show your work. < (g) Now let Py = 15. How does optimal consumption (X*.Y*) and utility (U*) change relative to (e)? Explain in simple terms and show in a diagram.<
- Harry consumes 2 goods, X and Y and he spends N$60 per month. The price of good X is N$4 and the price of good Y is N$10. Harry's utility function is U(X, Y) = XY. (i) What is Harry's marginal rate of substitution? (5) (ii) What is the expression for Harry's budget constraint? (3) (iii) What is the slope of Harry's budget constraint? (2) (iv)Find the values of good X and Y maximizes Harry's utility. Show all your work. (6) (v) Illustrate Harry's utility maximizing combination on a clearly labelled graph. (4) (vi) Suppose the price of good X increased to N$6. Illustrate Harry's income and substitution effects on a well labelled graph. Show your work. (10) (vii) Suppose Genie is consuming two goods, coffee and beer. She spends all her income on a combination of coffee and beer where MUcoffee/Peoffee is 5 and MUbeer/Pbeer is 3. Explain why this combination is not maximizing her satisfaction. What should she do to maximize her utility? (5)Utility is given by the function U(x,y) = x0(y + 4)0.3. a. Calculate the marginal utility of x in terms of x and y. Simplify. b. Calculate the marginal utility of y in terms of x and y. Simplify. c. Calculate the marginal rate of substitution in terms of x and y. Simplify.2) Which of the following utility functions represent the same preferences? Explain. a) U (x₁, x₂) = X₁ X₂ b) W (x₁, x₂) = 5lnx₁ +5lnx₂ c) V (x₁, x₂) = x₁¹/3x₂ ¹/3 - 0.8 d) Z(x₁, x₂) = 0.5x₁ + 0.5x₂
- Compute marginal utilities and marginal rate of substitution for each of the utility functions given below. In cach case. explain whether the assumptions of diminishing marginal utility and diminishing marginal rate of substitution are satisfied or not. a) U(X,Y)= 2x-yi b) U(X,Y) = XY +3X + 5Y c) U(X,Y) = (0.3X + 0.7Y") d) U(X,Y) = In (5VX + 2VT) %3D %3D %3D1. Marginal Utilities and the MRS: Find the marginal utility of x1, the marginal utility of x2, and the marginal rate of substitution for the following utility functions: 1. U(x,y) = 2x + 3y 2. U(x,y) = ax + by 3. U(x, y) = 2Vx + y 4. U(x,y) = xy 5. U(x,y) = xy 6. U(x,y) = (x + 2)(y+ 1) %3D1. For each of the three utility functions below, find the substitution effect, the income effect, and the total effect that result when prices change from p = (2,1) to p' = (2,4). Assume the consumer has income I = 20. (a) Before doing any calculation, make an educated guess about the relative magnitude of the three substitution effects and the three income effects to be found below. (b) u(x1, x2) = x1 + x2. (c) u(x1, x2) = x1x2. (d) u(x1,x2) = min {x1,x2). (e) Rank the substitution effects and the income effects found above by their magnitude. To what extent do they conform to your guess?
- If the utility function of an individual takes the form: U = U ( x 1, x2) = (x1 + 2) 2 (x2 + 3) 3 Where U is total utility, and x1 and x2 are the quantities of two commoditiies consumed: (a) Find the marginal-utility function of each of the two commodities (b) Find the value of the marginal utility of the first commodity when 3 units of each commodity are consumed.Define the Marginal Rate of Substitution between two goods (X and Y).If a consumer’s preferences are given by U(X,Y) = X1/4Y 3/4, compute the consumer’s marginalrate of substitution as a function of X and Y. Calculate the MRS if the consumer has chosen toconsumer 12 units of X and 30 units of Y.2)Ben is choosing between cookies and soda. Denote the marginal utility of cookies is MUc, and the marginal utility of soda is MUs. Which of the following relationship is true regarding the marginal utility of substitution (MŘS) of cookie in terms of soda? A) MRS= MUc B) MRS = MUS C) MRS = MUS / MUC D) MRS = MUc / MUs