A new office park is considering to start an express bus service for workers. A survey of office park commuters is conducted and found that mode choice is affected by out-of-pocket costs (OPC) and total travel time (TTT) where the mode utility is expressed by the function Um ao -0.47OPCm - 0.22TTT
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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.Would you expect total utility to rise or fall with additional consumption of a good? Why?Is it possible for total utility to increase while marginal utility diminishes? Explain.
- Wherein:TU = Total Utilityf= is a function ofMU = Marginal UtilityO = units of consumptionA= infinitesimal change EMV= Expected Monetary ValueAnn can finish a project either this week or next week. The delayed rewards are 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 this week. The immediate 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 that β= 0.5 and Ann correctly anticipates her choice next week. Then she should finish the project (A) this week; (B) next week; (C) never; (D) not enough information. can you help me with the bolded question? thank you!Ann can finish a project either this week or next week. The delayed rewards are 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 this week. The immediate costs are 4 this week and 6 next week. Ann has a quasi-hyperbolic utility with δ= 1 and β <1. Imagine that Anndoes not finish the project this week. Then she should finish it next week A) if β >0.6; (B) if β >0.4; (C) only if β= 1; (D) for any β.
- Please no written by hand and no emage Consider a consumer that consumes 2 teaspoons of sugar with each cup of coffee. For each cup of coffee with sugar the consumer gains 10 utils.a) Write down the utility function that gives the total utility if the consumer consumes S teaspoons of sugar and C cups of coffee. The consumer has assigned £7 per week to be spent on drinking coffee with sugar. The current price of coffee is £0.50 per cup and each spoon of sugar costs £0.10. b) Calculate the optimal weekly consumption bundle for this consumer.c) Does the consumer view C and S as complements or substitutes?Bob's utility function implies O time stationarity O transitivity O impatience O all of the above I need help with the questionsTU = Total Utilityf= is a function ofMU = Marginal UtilityO = units of consumptionA= infinitesimal change EMV= Equimarginal Value
- Graph the following dataQuantity marginal utility1 153 2 112 3 77 4 48 5 25 6 8 7 -3 8 -8A 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.)(a) A consumer with income I=120 facing prices pX = 4 and pY = 8 for two goods X and Y (for each good she prefers more to less, with diminishing MRS) chooses optimally to consume 12 units of X. If the prices change and now pX = 6 and pY = 4, what is the possible range for her new optimal X consumption? (b) Forget about (a). A consumer with I=$240 budget is shopping for apples (x) and oranges (y). Apples cost $1 each up until 60 units; thereafter each apple costs $2. Similarly, oranges cost $1 each up until 60 units, and thereafter $2 each. Draw the graph of feasible set of bundles for the consumer with relevant points and numbers (shade the feasible area), no explanation needed. (c)(HARD!) In (b), calculate the optimal bundle assuming the consumer’s utility function is u(x,y) = x5y.