EBK MICROECONOMICS
5th Edition
ISBN: 9781118883228
Author: David
Publisher: YUZU
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Question
Chapter 4, Problem 4.19P
To determine
(A)
To find:
Whether the individual will borrow or lend or stand neutral for the given utility function.
To determine
(B)
To find:
Whether the individual will borrow or lend or stand neutral for the given utility function.
To determine
(C)
To find:
Whether the individual will borrow or lend or stand neutral for the given utility function.
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Students have asked these similar questions
A consumer has utility u(x,y) = x^4 y^2 where x is this year’s consumption, and y is next year’s consumption. She makes 600 dollars income this year and 720 dollars income the next year. There is also a bank where she can borrow money at the interest rate r=%50 and lend money (to the bank) at the interest rate r=%20 (of course, she will decide to borrow or lend this year and pay off her debt or receive her savings the next year).
a. Should she borrow money from or lend to the bank this year? How much
b. If her utility were u(x,y) = xy2 instead, re-solving (a), would she borrow money or lend? How much?
c. If her utility were u(x,y) = x^c y^2, what should “c” be so that she ends up neither borrowing nor lending?
Joyce consumes x1 and x2 together in fixed proportions. She always consumes 1 unit of x2 for 2 units of x1. What is the utility function that describes her preference?
Linda loves buying shoes and going out to dance. Her utility function for pairs of shoes, S, and the number of times she goes dancing per month, T, is U(S + T) = 2ST, so Mus = 2T and Mut = 2S. It costs Linda $50 to buy a new pair of shoes or to spend an evening out dancing. Assume that she has $500 to spend on shoes and dancing
What is the equation for her budget line? Draw it (with T on the vertical axis), and label the slope and intercepts.
What is Linda’s marginal rate of substitution? Explain.
Use math to solve for her optimal bundle. Show how to determine this bundle in a diagram using indifference curves and a budget line
Chapter 4 Solutions
EBK MICROECONOMICS
Ch. 4 - Prob. 1RECh. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RE
Ch. 4 - Prob. 4.1PCh. 4 - Prob. 4.2PCh. 4 - Prob. 4.3PCh. 4 - Prob. 4.4PCh. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - Prob. 4.8PCh. 4 - Prob. 4.9PCh. 4 - Prob. 4.10PCh. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - Prob. 4.15PCh. 4 - Prob. 4.16PCh. 4 - Prob. 4.17PCh. 4 - Prob. 4.18PCh. 4 - Prob. 4.19PCh. 4 - Prob. 4.20PCh. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - Prob. 4.24PCh. 4 - Prob. 4.25PCh. 4 - Prob. 4.26PCh. 4 - Prob. 4.27PCh. 4 - Prob. 4.28PCh. 4 - Prob. 4.29PCh. 4 - Prob. 4.30P
Knowledge Booster
Similar questions
- Megan is a college student who consumes food and transportation. Last year, she consumed 90 meals and purchased 100 gallons of gasoline per month. Suppose that last year the price of a meal was $5 and the price of a gallon of gasoline was $2.23. However, this year, the price of a meal is $6 and the price of a gallon of gasoline is $3.92. As a result, Megan consumes 100 meals and 80 gallons of gasoline. For this example, assume Megan's utility this year is the same as her utility last year (and that her preferences have not changed). Calculate a Laspeyres cost-of-living index for Megan using 100 as the base for last year. In particular, the Laspeyres index for this year is nothing. (Enter your response rounded to two decimal places.)arrow_forwardConsider an overtime rule that requires that workers get paid double for any weekly hours over 40. Draw a picture that shows how a worker decides how much to work. Label everything in your picture and explain what is happening. Consider an investment that costs $100 and pays back $10 each year as long as the person making the investment is alive. Construct an equation for the net present value of the investment. An individual has a utility function, U = AX1 X2 where X1 and X2 are consumption of goods 1 and 2. The individual also faces a budget constraint. Show mathematically how an increase in Aa§ects the individualís decisions about consumption of each good.arrow_forwardComplete the following table and answer the questions below: Units Consumed Total Utility Marginal Utility 0 0 — 1 10 10 2 8 3 25 4 30 5 3 6 34 a. At which rate is total utility increasing: a constant rate, a decreasing rate, or an increasing rate? How do you know? b. True or False. “A rational consumer will purchase only 1 unit of the product represented by these data, because that amount maximizes marginal utility.” c. True or False. “It is possible that a rational consumer will not purchase any units of the product represented by these data.”arrow_forward
- Is optimal consumption basket the same as associated level of utility?arrow_forwardYou run a foundation that provides help to families during the holiday season. You distribute both clothing and food, which you buy (at discounted prices) with money from donors. Clothing costs you $1 per pound and food costs $4 per crate. 1a) With a budget of $1,000, draw your budget constraint on the graph below (labeling the intercepts) and illustrate a hypothetical utility-maximizing choice with an indifference curve, labeling the resulting choice of clothing and food as simply C* and F*. 1b) This year, you are happy to learn that the city is providing a match for money spent on food, so that you will need to spend only half as much per crate you provide. How is this likely to change the quantities of food and clothing you provide? Explain.arrow_forwardConsider a consumer that lives only for two periods. He works in period 1 (and gets income Y1) and moves up the corporate ladder in period 2 (and gets income Y1 < Y2). This consumer has the usual preferences over time: u(C1) + βu(C2) 1. Assume this consumer cannot borrow. What is the consumption in period 1 and period 2? Display graphically. Show the corresponding utility curve. 2. Assume that now the consumer is allowed to save or borrow. Write down the new budget constraint. What is the consumption in period 1 and period 2? Display graphically. Could the consumer be worse off? Could the consumer be better off? Draw budget constraints such that for one of them consumer prefers to borrow and for the other - prefers to save. 3. Assume once again that a consumer cannot borrow, but can borrow and immediately sell some MacGuffins, and in the next period, the consumer must buy back the MacGuffins to return to the lender. Assume that MacGuffin t r a d e s a t P1 > 0 in the first period…arrow_forward
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