Answer in step by step with explanation.Don't use Ai and chatgpt 2. Suppose we divide an individual's life into two hypothetical periods - say, "young" and "old." Suppose that theindividual earns income only when young (denoted by "I") and saves some of that income to consume when old (earninginterest rate, r, on saving).a. Construct the relevant budget line in a two-period ("intertemporal") choice model diagram. Label the horizontalandvertical intercepts appropriately. What is the slope of the budget line?b. Suppose the interest rate on savings falls. Can you tell what happens to optimal consumption when young? Justifyyouranswer by adding appropriate indifference curves to your diagram.

Part a: Construct the relevant budget lineTo construct the intertemporal budget line for a…

Answered: 2. Suppose we divide an individual's…

Micro Economics For Today

10th Edition

ISBN:9781337613064

Author:Tucker, Irvin B.

Publisher:Tucker, Irvin B.

Chapter1: Introducing The Economic Way Of Thinking

Section: Chapter Questions

Problem 7SQP

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2. The standard model of consumer behavior assumes that income is exogenous. Of course, a person's income usually depends upon the number of hours the individual works. Suppose that an individual has T hours each day which can be allocated toward working time, H, or leisure time, L-that is, T = H + L. The individual earns w dollars for each hour worked. Then the individual's income is M + wH where M denotes any non-labor income. The individual has preferences over leisure time, L, and a consumption good, X, which can be represented by a quasi-concave utility function, U(X, L). The consumption good, X, can be purchased at the price Px. The individual seeks to maximize the utility subject to the constraints on time and money. (1) Formulate the individual's problem as an optimization problem with two constraints a time constraint and a money constraint. Derive the first-order conditions. Give an economic interpretation of the Lagrange multipliers. (2) The two-constraints problem can be…
Suppose we wanted to investigate the saving and borrowing behavior of consumers. It’s not that difficult to extend our basic model. We can use the same framework as before, but define our two goods as “consumption in period 1” (horizontal axis) and “consumption in period 2” (vertical axis). a. Construct a budget constraint for a consumer who earns $100 in income in period 1 and $300 of income in period 2. Label this point E for the “Endowment” point. Assume that he can choose to save some income in period 1 to be used in period 2, or to borrow some income from period 2 to use in period 1. (Let’s imagine the consumer saves the money by putting it in a piggy bank and can borrow money from his parents, who don’t charge interest.)
Aa Aa Complete the following table by identifying which assumption each given scenario references. (Note: The scenario might be an example or a violation of the assumption.) Assumption Scenario Complete Tastes Transitive Tastes Monotonicity Convexity Continuity Your brother would prefer to have two computers and a video game console, as opposed to one computer and a video game console, because he loves technology. Julia is indifferent between having only two scoops of ice cream or having only four cookies for dessert, but she would prefer to have one scoop of ice cream and two cookies because she likes variety in her diet. Tim likes only two sugars in his coffee. If he accidentally spills a few drops of sugar from one pack, he becomes extremely unhappy.
In class discussions about uncertainty we assumed that the utility levels in each state of nature depends on c, which we might interpret as some aggregate con- sumption and we expressed utility as U(c). Now, let's extend this to a case where the utility level depends on consumption of two goods (this was the type of utility we used mainly in this course). Ben is a farmer who grows wheat and barley. However, his harvest is uncertain. If weather is good, he gets 200 lbs of wheat and 200 lbs of barley. If weather is bad, he gets only 100 lbs of wheat and 100 lbs of barley. His utility in each state of nature is U(w, b) = w¹/46³/4, where w and b represent his consumption of wheat and barley, respectively. Prices of wheat and barley are $1 in both state of nature. The probability of good weather is π. Question 3 Part a Express Ben's expected utility function. (Hint: find Ben's optimal consumption in each state of nature first) Question 3 Part b Let's assume π = 0.5. Knowing that bad weather…
In class discussions about uncertainty we assumed that the utility levels in each state of nature depends on c, which we might interpret as some aggregate con- sumption and we expressed utility as U(c). Now, let's extend this to a case where the utility level depends on consumption of two goods (this was the type of utility we used mainly in this course). Ben is a farmer who grows wheat and barley. However, his harvest is uncertain. If weather is good, he gets 200 lbs of wheat and 200 lbs of barley. If weather is bad, he gets only 100 lbs of wheat and 100 lbs of barley. His utility in each state of nature is U(w, b) = w¹/4b³/4, where w and b represent his consumption of wheat and barley, respectively. Prices of wheat and barley are $1 in both state of nature. The probability of good weather is T. Question 3 Part a Express Ben's expected utility function. (Hint: find Ben's optimal consumption in each state of nature first) Question 3 Part b Let's assume = 0.5. Knowing that bad weather…
Nutritional economics. Suppose we are considering a hungry individual in the Gross-man model deciding what to have for dinner. His options are listed in Table 3.2. Each dish has an effect on the level of the home good Z and health H.a. Suppose the diner’s single-period utility function is as follows: U = 3Z + HIf the diner is trying to maximize his single-period utility, and he can only select one item from Table 3.2, which meal would he choose?b. A miracle pill is discovered that halves the negative health impact of cookies. How does this impact the diner’s choice?c. What effect does the miracle pill have on the diner’s health H? Interpret this result.Does this mean the diner would be better off without the miracle pill?d. If the diner is instead trying to maximize his lifetime utility and not just his single-period utility, how might your answer to Exercise 16(a) change? Is he likely to value Z or H more in the lifetime context than the single-period context? Explain your answer, and…
A4
Assume that there are N individuals, indexed by i=1,.,N. One of them, individual i, derives positive utility from her own consumption (denote by c), from her consumption in relation to the average consumption of everybody else (the other N-1 individuals), and from her charitable donations (denote by d). Assume an exogenous income level I. a) Write down a utility function that can represent individual i's preferences. b) Write down (without solving) the consumer's maximization problem. c) Discuss (in brief) whether you think that this utility function is preferable to the standard one and justify your answer.
Suppose an individual in the Grossman model is trying to decide what to have for dinner. His options are as below. Each dish has an effect on the level of home good Z and health H. Мeal Home good Z Health H Steak and eggs +7 -2 Kale salad with broccoli -2 +5 Entire box of cookies +10 -20 Suppose the dinner's single-period utility function is U=3Z+H 1. If the individual is trying to maximize his single-period utility, and he can only select one item from the table (assuming he can afford any item in the table). Which meal would he choose? Explain your answer. 2. A miracle pill is discovered that halves the negative health impact of cookies. How does this impact the individual's choice? Explain your answer. 3. If the individual lives in multi-period rather than single-period, would he value Z or H more in multi-period? Explain your answer. Paragraph I U v A •.. > lili B
Suppose an individual in the Grossman model is trying to decide what to have for dinner. His options are as below. Each dish has an effect on the level of home good Z and health H. Мeal Home good Z Нeath H Steak and eggs (A) Kale salad with broccoli (B) Entire box of cookies (C) +7 -2 -2 +5 +10 -20 Suppose the dinner's single-period utility function is U=3Z+H • If the individual is trying to maximize his single-period utility, and he can only select one item from the table (assuming he can afford any item in the table). Which meal would he choose? Please type in A, B, or C (do not enter space, punctuation, or any other symbols or words) • A miracle pill is discovered that halves the negative health impact of cookies. How does this impact the individual's choice? What meal would be chosen now? Please type in A, B, or C (do not enter space, punctuation, or any other symbols or words) • If the individual lives in multi-period rather than single-period, would he value Z or H more in…
The consumer choice is not restricted to the choice of consumptiongoods. In fact, it can apply to all our decisions that involve trade-offs. Suppose Mary has awage per hour of 10 euros. With her earned income she consumes. That isC=wH per day.She also decides how many hours to work of take leisure time each day.H=24-N, whereHis work and N is leisure. Her utility is given by （picture） Solve for the optimal decision of labor/leisure. Plot the budget constraint and the indif-ferent curve. What is the labor supply function?
Styles Paragraph Trigleater is a hungry individual in the Grossman model deciding what to have for dinner is looking at variable options. Trigleater has a special condition called "Eaterblood" where whatever she eats will affect her health almost immediately. The following table reflects the options she is considering and the effect on health Home Good Z Health H Meal Steak and eggs +9 -4 -5 +18 Kale salad and broccoli -18 Double cheeseburger deluxe with coke 12 A miracle pill "Actosfast" is discovered that halves the negative health impact of food. What would the new choice be If Trigleater's single period utility function is given by U=5Z+2H and she can only select one item from the table above, what would be her total utility after selecting the optimal meal Will Kale salad C B.with broccoli Double Cheeseburger C C.Deluxe with coke Steak C A. and eggs C D.not eat

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