Consider an one person, two good, one input economy. This is "Lea's Economy". Lea's utility function is U = xb y1-1/b where b=4, x denotes her consumption of good X, and y denotes her consumption of good Y. The production function of good X is given by X = 15 Lx and the production of Y is given by Y = 2 Ly2, where Lx and Ly denote respectively the amount of labour used in the production of good X and in the production of good Y. The total amount of labour in the economy is 806. Derive the (equation for the) production possibilities frontier (PPF) of this economy. Then enter below the opportunity cost of one more unit of good X at the point where X = 15. Answer:
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- 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 preferences2Intermediate Microeconomics NYUAD, Spring 2023can 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?ceriuppose that Isaiah has a weekly fixed budget and spends it all on haircuts and ice cream. At his current combination arof consumption, the marginal utility of the last dollar spent on haircuts is greater than the marginal utility of the last dollar spent on ice cream. Has Isaiah maximized his utility? A C E Yes, because changing his current consumption combination will reduce his total utility B No, because he can increase his total utility by purchasing more haircuts and D fewer ice creams Yes, because he has purchased 2 goods in proportion so that he can get- the maximum utility from each Yes, because he purchased the maximum possible with a limited budget No, because he can increase his total utility by purchasing fewer haircuts and more ice creamsnments: 2022-SU-ECO2023 x apter 7 Problems 1 eBook https://ezto.mheducation.com/ext/map/index.html?_con=con&external_browser=0&launchUrl=https%253A%252F%252Flms.mheduca Question 1 - Chapter 7 Problem: X Mc Graw Hill Type here to search Suppose that at three units purchased, marginal utility is $8 and total utility is $30. If the marginal utility of the fourth unit purchased is $6, how much is the total utility of four units? Marginal ultility: $ im o Et Soved Prey 1 of 5 Nex
- If something has negative marginal utility, what happens to your total utilitywhen you consume it?ayesha derives utility from travelling and outdoor dinning o weekends as given utility function U(t,d)=TD.the price of a day spent travelling is $160{Pt=160} and price of dining outdoor $200{Pd=200}.ayesha annual budget for this is $8000. find ayesha's utility maximizing choice of days travelling and dining outside. and alsoo find uutility level from consuming that bundles .show findings graphicallyMylie’s total utility from singing the same song over andover is 50 utils after one repetition, 90 utils after tworepetitions, 70 utils after three repetitions, 20 utils afterfour repetitions, 250 utils after five repetitions, and 2200utils after six repetitions. Write down her marginal utilityfor each repetition. Once Mylie’s total utility beginsto decrease, does each additional singing of the songhurt more than the previous one or less than the previousone?
- 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.If the preferences are concave will the consumer ever consume both ofthe goods together?I like drinking Smirnoff and Stoli Vodka, but I really only careabout the total amount of alcohol I get out of it. They areperfect substitutes. Smirnoff is sold in liter bottles that are100 proof (that’s 50% alcohol). Stoli is sold in liter bottlesthat are 80 proof (40% alcohol). What is my utility functionfor bundles of these two vodkas? What do my indifferencecurves look like?
- 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.John likes Coca-Cola. After consuming one Coke, John has a total utility of 10 utils. After two Cokes, he has a total utility of 25 utils. After three Cokes, he has a total utility of 50 utils. Does John show diminishing marginal utility for Coke, or does he show increasing marginal utility for Coke? Supposethat John has $3 in his pocket. If Cokes cost $1 each and John is willing to spend one of his dollars on purchasing a first can of Coke, would he spend his second dollar on a Coke, too? What about the third dollar? If John’s marginal utility for Coke keeps on increasing no matter how many Cokes he drinks, would it be fair to say that he is addicted to Coke?Preview File Edit View Go Tools Window Help 81% Wed Mar 25 5:10 PM Eco4100MidtermSpring2020.pdf (page 9 of 9) Search Eco4100MidtermSpring2020.. creen Shot -0....01.06 PM _13) The graph below shows George's indifference curves and budget lines. From A to B, we Goods Per Day B2 creen Shot -0....02.41 PM B1 creen Shot -0...09.34 PM thigern e f da 12 creen Shot -0...09.46 PM 8. L'L2 24 Leisure Hours Per Day creen Shot -0....10.04 PM can conclude A) leisure is a normal good. B) leisure is an inferior good. C) George will increase his working time with a higher wage. D) the substitution effect is greater than the income effect. De heine 3. PAGES MAR 25