We assume that the representative consumer's preferences exhibit the properties that more is always preferred to less and that the consumer does not like diversity in his or her consumption bundle. each consumer has one strictly preferred good and that consumption and leisure are both normal goods. more is always preferred to less and that each consumer has one strictly favourite good. consumption and leisure are both normal goods and that the consumer likes diversity in his or her consumption bundle.
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- What do we mean by well-behaved preferences? How do the indifference curves look like for suchpreferences? Provide an example, in terms of a utility function, where preferences are not well-behavedand illustrate. Provide a figure with indifference curves and a budget line where there are exactly twosolutions to the utility maximization problem.Pareto eliminated psychology from economics:a. by defining utility as ordinal, not cardinal utilityb. searching for secondary qualities of thingsc. defined rationality as consumer behavior only after they have bought something several timesd. by accepting revealed preference.Lexicographic preferences describe preferences where an economic agent prefers any amount of one good (X) to any amount of another (Y). SpeciÖcally, if o§ered several bundles of goods, the agent will choose the bundle that o§ers the most X, no matter how much Y there is. Only when there is a tie between bundles with regard to the number of units of X will the agent start comparing the number of units of Y across bundles. Show that Lexicographic preferences are transitive
- 4. a. Consider a consumer with preferences defined over x and y. Demonstrate that it is possible theywould choose to consume some of both commodities when their income is I but would choose toconsume only x when their income is I’ > I. (Remember: if you can draw it without violating anyof the basic assumptions on preferences, it could happen.) b. Conversely, demonstrate that it is possible they would choose to consume only x when theirincome is I but would choose to consume x and y when their income is I’ > I.c. Finally, show it is possible that they would choose to consume only y when their income is I butwould choose to consume only x when their income is I’ > I.Suppose there was a debate regarding how to spend $1 billion in newly found revenues in the budget. Suppose the most liberal Democrat suggests an increase to Food Stamp (SNAP) allotments. Suppose the most conservative Republican suggests an increase in defense spending. The Republican says that, on average, military spending does the most good, so more is better. The Democrat is arguing that the extra food purchased by the extra spending will increase well-being the most. What is going on here? A . Both are employing marginal analysis, just from different perspectives. B. Only the Democrat is using marginal analysis. C. Only the Republican is using marginal analysis. D. Neither are using marginal analysis.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?
- Utility Maximization. Suppose that an individual has a utility function given asU =√XYwhere U is the total utility, X is the quantity of good X that is consumed, and Y is the quantity ofgood Y consumed.It follows thatMUxMUy= X/Ywhere MUx is the marginal utility of X and MUy is the marginal utility of Y.The individual’s budget constraint isI = PxX + PyYwhere I is income, Px is the price of good X, and Py is the price of good Y.Suppose that Px = 2, Py = 1, and I = 100. How much of X and Y does this individual purchase?Eren’s two main hobbies are taking vacations overseas (V) and eating expensive meals (M). His utility function is given as: U(V,M) = V^2MLast year, the average price of taking a vacation overseas was US$200 and the average price of an expensive meal is $50. However, due to supply problems in Onions, the average price of an expensive meal rose to $75. The average price of a vacation did not change. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should be given to Eren to offset his change un utility due to the price increase of an expensive meal. Calculate the compensative variation (CV).Let MUA = z = 10 − x and MUB = z = 21 − 2y, where z is marginal utility per dollar measured in utils, x is the amount spent on product A, and y is the amount spent on product B. Assume that the consumer has $10 to spend on A and B—that is, x + y = 10. How is the $10 best allocated between A and B? How much utility will the marginal dollar yield?
- Carol needs to decide how to spend her wealth on sh and chicken.For Carol, 1 lb of sh is equivalent to 2 lb of chicken. Her preferencecan be represented by the utility functionu(x; y) = 2x + ywhere x is the quantity of sh (in lbs) and y is the quantity of chicken(in lbs). The consumption set is R2+. (a) Draw two typical indi erence curves for Carol, one correspondingto a utility level of u1 and one corresponding to a utility level u2,where 0 < u1 < u2. Make sure you label the slope of the indif-ference curves and the intercepts with the horizontal and verticalaxes.(b) Suppose the price of sh is $1:5 per lb and and the price of chickenis $1 per lb. Carol has $20 to spend on sh and chicken.(i) Draw Carol's budget set, labeling the slope and the interceptpoints clearly.(ii) How much sh and chicken will Carol choose to purchase? I am looking for an answer to the points (c) and (d) below (c) Suppose now that the price of sh increases to $2 per pound.(i) Draw Carol's budget set,…True/false, no need to explain. (a) There is no perfect way to aggregate individual preferences to a single "social" preferences (b) “Before enacting a policy, try to put ourself in the shoes of those who will be negatively impacted mostly.” This sentence is best to summarise the Benthamite welfare function (c) If a person's utility is simply a function of her own consumption, and the welfare function is derived from individuals utility function, then we will not have consumption externalities. (d) An allocation cannot be both equitable and Pareto efficient.Economics. Kindly solve this with explanation Consider a 2-good economy and a consumer endowed with a positive net income m. If the unit prices of goods are p1 and p2 with p1=2p2 and the consumer is invariably indifferent between 5 units of the first good 1 and 8 units of the second good 2. Than the consumer will choose to consume amounts x1 of the first good and x2 of the second good such that; P1x1=p2x2 X=0, x2>0 X1>0, x2=0 None of the answers is correct