The utility function for commuting is u(w, 1, c) = -11 · w – 3 ·1 - 15· c, where w is walking time (in minutes), t is total travel time (in minutes), and c is cost (in £). How much is a typical consumer willing to pay to reduce total travel time by an hour? Enter your numerical answer in the box provided (round your answer to 1 decimal place):
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- Max is very peculiar about his morning coffee routine. He likes to use exactly two spoons of coffee for every six ounces of water. This give him the following utility function: U = min(2Water, 6Cof fee), where Water (W) is measured in fluid ounces and Coffee (C) in spoons. (a) afford while utility-maximizing? How many spoons of coffee does he use in doing so? (b) If he spends exactly $2 on coffee every morning, how many 8 ounce cups of coffee can he How much utility does Max get from his morning cup/s of coffee?If your annual demand for renting videos is P = 7.5 - 2.7Q, If purchasing an membership guarantees that you can rent as movies as you like for $ 0.14 per video. How many movies will you rent per year? 2.72 What is the most that you will pay the for the annual membership? $ 3.8You have £20 per week to spend, and two possible uses for this money: telephoning friends back home, and drinking coffee. Each hour of phoning costs £2, and each cup of coffee costs £1. Your utility function is U(X,Y) = XY, where X is the hours of phoning you do, and Y the number of cups of coffee you drink. What are your optimal choices? What is the resulting utility level? You can use the standard result on the constrained maximization of such a function, but must state it clearly. Now suppose the price of telephone calls drops to £1 per hour. What are your optimal choices? What is the resulting utility level? How much income per week will enable you to achieve the same quantities at the new prices as the ones you chose before? What income will enable you to attain the same utility as you did before? Comment on your answer in the context of equivalent variation and compensating variation.
- Product M has a price of $7.95. If the Total Utility an individual receives from consuming 8 units of Product M is 249 and the Total Utility for consuming one fewer unit of Product M is 228, then what is the Marginal Utility per Price of the 8th unit of Product M? (Round your answer to 2 digits after the decimal.)You have k20per week to spend and two possible uses for this money,:telephoning friends back home and drinking coffee. Each hour of phoning costs k2 and each cup of coffee costs k1. Your utility functions U(X,Y)=XY,where X is the hours of phoning you do and Y the number of cups of coffee you drink. Now suppose the price of telephone calls drops to k1 per hour. What are your optimal choices? What is the resulting utility levelCould you please help me only with the last part-money metric utility function? Thank you!
- Jane receives utility from days spent traveling on vacation domestically (D) and days spent traveling on vacation in a foreign country (F), as given by the utility function U(D,F) = 10DF. In addition, the price of a day spent traveling domestically is $100, the price of a day spent traveling in a foreign country is $400, and Jane’s annual travel budget is $4000. Suppose F is on the horizontal axis and D is on the vertical axis. Jane's marginal rate of substitution between F and D is equal to 10 1 F/D D/FA consumer has the following utility function: U(X,Y)= 400X2/5Y3/5 Suppose that the price of a spa day (x) is £200 and the price of a city break (y) is £300 Find the number of spa days and city breaks that minimise expenditure if 12,800 units of utility are obtained. Also calculate the consumer's minimised expenditureAisha is considering how to allocate the next 6 hours of her free time. She could choose between leisure (L) and helping her neighbour with the house chores. If she decides to help her neighbour, she is going to get paid at £25 per hour, which she can then spend on her favourite pizza (P). Suppose the price of pizza is £12.50. Aisha's preferences for leisure and pizza are given by the following utility function: U(L, P) = 3L + P. (MUL = 3, MUp = 1). a) Write down Aisha's budget equation and draw the corresponding budget line. Clearly label the axes and calculate the coordinates of the points of intersection of the budget line with each axis. b) Calculate Aisha's marginal rate of substitution between leisure and pizza. Explain the concept of MRS and interpret the figure obtained. c) Find Aisha's optimal consumption bundle, both algebraically and graphically. Explain your reasoning. d) Would Aisha's optimal choice change if she could get a discount on her pizza purchases so that each…
- Aisha is considering how to allocate the next 6 hours of her free time. She could choose between leisure (L) and helping her neighbour with the house chores. If she decides to help her neighbour, she is going to get paid at £25 per hour, which she can then spend on her favourite pizza (P). Suppose the price of pizza is £12.50. Aisha's preferences for leisure and pizza are given by the following utility function: U (L, P) = 3L + P. (MUL = 3, MUp = 1). a) Write down Aisha's budget equation and draw the corresponding budget line. Clearly label the axes and calculate the coordinates of the points of intersection of the budget line with each axis. d) Would Aisha's optimal choice change if she could get a discount on her pizza purchases so that each pizza would cost £5? Explain. e) Would Aisha's optimal choice change (as compared to c), if she could get a discount on her pizza purchases so that each additional pizza beyond the first two, cost £5? (In other words, the first two pizzas need to…Consider Tralfamadore, a hypothetical country that produces only burgers. In 2018, a burger is priced at $4.00. Complete the first row of the table with the quantity of burgers that can be bought with $700. Hint: In this problem, assume it is not possible to buy a fraction of a burger, and always round down to the nearest whole burger. For example, if your calculations result in 1.5 burgers, the answer should be 1 burger. Price of a Burger Burgers Bought with $700 Year (Dollars) (Quantity) 2018 4.00 2019 Suppose the government of Tralfamadore cannot raise sufficient tax revenue to pay its debts. In order to meet its debt obligations, the government prints money. As a result, the money supply rises by 20% by 2019. Assuming monetary neutrality holds, complete the second row of the table with the new price of a burger and the new quantity of burgers that can be bought with $700 in 2019. The impact of the government's decision to raise revenue by printing money on the value of money is…An individual’s utility function is given by where is the amount of leisure measured in hours per week and is income earned measured in cedis per week. Determine the value of the marginal utilities, when = 138 and = 500. Hence estimate the change in utility if the individual works for an extra hour, which increases earned income by GH¢15 per week. Does the law of diminishing utility hold for this function?