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Terry decides to increase her work hours from 20 to 25 hour per week.
1. What would be her
2. What would be her marginal utility gain from having additional income?
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- Take Jeremys total utility information in Exercise 6.1, and use the marginal utility approach to confirm the choice of phone minutes and round trips that maximize Jeremys utility.Jeremy is deeply in love with Jasmine. Jasmine lives where cell phone coverage is poor, so he can either call her on the land-line phone for five cents per minute or he can drive to see her, at a round—trip cost of 2 in gasoline money. He has a total of 10 per week to spend on staying in touch. To make his preferred choice, Jeremy uses a handy utilimometer that measures his total utility from personal visits and from phone minutes. Using the values in Table 6.6, figure out the points 011 Jeremys consumption choice budget constraint (it may be helpful to do a sketch) and identify his utility-maximizing point.Would you expect total utility to rise or fall with additional consumption of a good? Why?
- A consumer has a utility function U(X,Y ) = X1/2 Y1/2 . Prices of the goods are pX = £10 and pY = £5, respectively, and the consumer has income M = £200 to spend on X and Y. Currently, she buys 2 units of good X and spends the rest of her income on good Y.a) Determine this consumer’s current utility level. b) Computetheconsumer’smarginalutilitiesofgoodsXandY. c) Explain why the consumer’s current consumption of goods X and Y is not optimal. Should she substitute X for Y or vice versa? The consumer’s marginal rate of substitution is MRS = Y/X.d) Determine this consumer’s optimal consumption of both goods. e) By how much does the consumer’s utility increase when she consumes the optimal bundle?TU = Total Utilityf= is a function ofMU = Marginal UtilityO = units of consumptionA= infinitesimal change EMV= Equimarginal ValueEren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate the change in consumer surplus from consuming the expensivemeals considering the price change (Hint: you need to compare his optimalconsumption bundle before and after the price change to get the change in CS).
- Ann can finish a project either this week or next week. The delayed rewardsare 10 in either case. (The project can be done only once or not at all).Next week is busy and the cost of finishing the project are lower thisweek. Theimmediate costs are 4 this week and 6 next week.Ann has a quasi-hyperbolic utility withδ= 1 andβ <1. Imagine that Anndoes not finish the project this week. Then she should finish it next week (A) ifβ >0.6; (B) ifβ >0.4; (C) only ifβ= 1; (D) for anyβ.11. Suppose thatβ= 0.5 and Ann correctly anticipates her choice next week. Thenshe should finish the project (A) this week; (B) next week; (C) never; (D) not enough information. Suppose thatβ= 0.5, and Ann can commit to finish the project next week (e.g.by imposing a heavy cost on herself if the project is not finished nextweek).Then she will (A) do the project this week;(B) commit to do it next week and finish it then;(C) do it next week without commitment;(D) commit and then not finish it.Ann can finish a project either this week or next week. The delayed rewardsare 10 in either case. (The project can be done only once or not at all).Next week is busy and the cost of finishing the project are lower thisweek. Theimmediate costs are 4 this week and 6 next week.Ann has a quasi-hyperbolic utility withδ= 1 andβ <1. Imagine that Anndoes not finish the project this week. Then she should finish it next week (A) ifβ >0.6; (B) ifβ >0.4; (C) only ifβ= 1; (D) for anyβ.11. Suppose thatβ= 0.5 and Ann correctly anticipates her choice next week. Thenshe should finish the project (A) this week; (B) next week; (C) never; (D) not enough information. Suppose thatβ= 0.5, and Ann can commit to finish the project next week (e.g.by imposing a heavy cost on herself if the project is not finished nextweek).Then she will (A) do the project this week;(B) commit to do it next week and finish it then;(C) do it next week without commitment;(D) commit and then not finish it. Can you…Only typed answer and don't use chat gpt and don't answer in table 2. Charlie consumes apples (A) and bananas (B). His utility function is . The price of apples is $1, the price of bananas is $2, and Charlie’s income is $40. The price of bananas suddenly falls to $1. (a) Before the price change, how many apples and bananas did Charlie consume? (b) After the price change, how many apples and bananas did Charlie consume? (c) If after the price change, Charlie’s income had changed so that he could only attain his original level of utility, how many apples and bananas would he have consumed? (d) What are the magnitudes of the price, substitution, and income effects for the consumption of bananas?
- A 2015 report by the music industry estimated the revenue lost to the industry every yearfrom illegal downloading. In this problem we will derive some of the estimates that may havegone into their calculation (approximately).First, start with the individual consumer’s problem. Suppose a typical consumer has a yearlyentertainment budget of I that they can allocate between music downloads (D) and otherforms of entertainment (E). Consumer preferences are characterized by a utility functionU(D, E). a.) Write an expression for the consumer’s budget constraint as a function of their entertainment budget and the prices of music downloads (Pd ) and other entertainment (Pe). (b) Write the consumer’s constrained optimization problem in Lagrangian form. (Note: Youdo not need to solve it or derive first order conditions.)part D E F solution needed Question 1Elmira has a monthly income of $200 that she allocates between two goods: Beef (B) andPotatoes (P). Beef costs $6 per pound while Potatoes cost $1 per pound. Elmira’s utilityfunction is given by: U(B, P) = 2B + P Assume that both Beef and Potatoes are finelydivisible goods (so your answer may or may not be a whole number). This questioncontains 6 parts, (a)-(f)) (a) Write down the equation for Elmira’s indifference curves. (Assume Beef is measuredon x-axis and Potatoes on y-axis) (b) Depict Elmira’s budget line graphically and mention its slope. (Again, assume Beef ismeasured on x-axis and Potatoes on y-axis) (c) Illustrate some indifference curve(s) for Elmira. (d) Find MRSBP . Do Elmira’s preferences have a diminishing Marginal Rate of Substitution? (e) What combination of Beef and Potatoes should Elmira buy to maximize her utility? (f) Determine Elmira’s utility at the utility maximizing choice.heABCCompanyLtd.HasapproximatedthemarginalrevenuefunctionforoneofitsproductsbyMR=20x – 2x 2 .ThemarginalcostfunctionisapproximatedbyMC=81 – 16x+x 2 .Determinetheprofitmaximizingoutput,thetotalprofit,thetotalrevenuefunction,anddemandfunction