Martha spends 5 hours of free time exercising and playing music per day. The table belowrepresents the level of utility she receives from the various combinations of exercise and musicactivities. For instance, if she only plays music, her total utility from exercise will be 0, and theutility from music will be 50. If she exercises for 1 hour, she will receive a level of utility of 25.Utility is measured in 'utils'; those numbers are arbitrary and designed to quantify the benefitsreceived from various actions.UtilityUtilityfromfromExerciseMusic50 utilsO utils fromO hours ofexercisefrom 5hours ofmusic25 utils for1 hours of45 utilsfrom 4hours ofexercisemusic4035452050The utility patterns in the table illustrate the law of marginal diminishing utility because ...The total utility Martha receives from music decreasesThe increase in utility for each additional hour Martha exercises fallsThe total utility Martha receives from exercise decreasesMartha receives the most utility from a combination of music playing and exercise, any other combinationshows diminishing total utility

Theory of diminishing marginal utility states that, with other things being equal, there would be a…

Answered: Martha spends 5 hours of free time…

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter10: Consumer Choice Theory

Section: Chapter Questions

Problem 9P

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Think about a favorite thing you often buy or enjoy. It could be your favorite food, a favorite place to visit, a type of event, or something you make us part of a hobby. As part of this review you will create a chart ( just like the examples of total in marginal utility) showcasing the favorite item. Include the following information: How many you purchase or consume in the course of a day, week, or a month. Marginal utility of additional consumptions The total utility of all consumptions. Let’s assume that the largest utility you get from any one item is 20. Make it as interesting as you can by considering something that is important to you. Fill in the chart.
If at a quantity consumed of 1 unit, total utility equals 25 and marginal utility equals 25, and at a quantity consumed of 2 units, total utility is unknown and marginal utility is 20, and at a quantity consumed of 3 units, total utility is 57 and marginal utility is unknown, what is marginal utility of the third unit?
Amy is currently spending all of her budget and she finds that the marginal utility per dollar from dresses is less than the marginal utility per dollar from hats. To maximize her utility, Amy should buy fewer dresses and hats. more hats and fewer dresses. more dresses and fewer hats. more dresses and hats. probably change her purchases but more information is needed to determine if she should buy more or fewer dresses and hats.
Becky needs to decide how many cups of coffee and pieces of cake she will buy for a meeting with an office mate. She estimates her total utility for different quantities of coffee and cakes below. A cup of coffee is $1.00, and each piece of cake is $0.50. Becky has a total of $3 to spend. What is Becky's total utility if she buys 1 cup of coffee and 4 pieces of cake? Cups of Coffee 1 2 3 4 5 6 Utility from Consumption Pieces of Cake 1 2 3 4 5 6 A B C D Total Utility from Cups of Coffee 33 56 79 Total Utility from Pieces of Cake 15 32 48 63 77 90 Total Utility of Different Consumption Bundles Consumption Bundle Cups of Coffee Pieces of Cake Total Utility 3 0 2 2 1 4 0 6
Martha spends 5 hours of free time exercising and playing music per day. The table below represents the level of utility she receives from the various combinations of exercise and music activities. For instance, if she only plays music, her total utility from exercise will be 0, and the utility from music will be 50. If she exercises for 1 hour, she will receive a level of utility of 25. Utility is measured in ‘utils’; those numbers are arbitrary and designed to quantify the benefits received from various actions. Utility for Exercise Utility from Music 0 utils from 0 hours of exercise 50 utils from 5 hours of music 25 utils for 1 hours of exercise 45 utils from 4 hours of music 40 35 45 20 50 0 Marginal analysis will help Martha in her decision making regarding how to spend her free time because ... All answers are correct. She will realize which activity is more important to her. She will be able to find the combination of music and exercise which gives…
1. Pindyck and Rubinfeld (2018) Chapter 4 Appendix, Exercise #5 Jae has the following utility function: U(X,Y)= 20X+ 80Y – X² – 2Y?, where X is consumption of CDs, with a price of $1, and Y is consumption of movie videos, with a rental price of $2. Jae plans to spend $41 on both forms of entertainment. Determine the number of CDs and video rentals that will maximize Jae's utility. а.
Styles 15. Damian Matthews is busy. He allocates his free time between watching movies and working out at the gym. The table below shows his utility from the number of times per week he watches a movie or goes to the gym. Damien has 14 hours a week to spend on movies or the gym (think of hours like $ of income here). Each movie takes 2 hours. Each gym trip takes 2 hours. Q of Gym Total Q of Movie Total Utility visits Utility from visits from Gym Visits movies 100 1 60 180 110 3 240 3 150 4 280 4 180 310 190 330 195 340 7 197 a) What bundles of gym visits and movies can Damien consume if he spends 1) all his time in the gym or 2) all his time watching movies? b) Calculate the marginal utility of each gym visit'and movie. Then calculate the Marginal Utility per hour of each activity. c) How should he allocate his time to maximize his utility? 12
Define Economic utility
Donald likes fishing (X1) and hanging out in his hammock (X2). His utility function for these two activities is u(x1, x2) = 3X12X24. (A) Calculate MU1, the marginal utility of fishing. (B) Calculate MU2, the marginal utility of hanging out in his hammock. (C) Calculate MRS, the rate at which he is willing to substitute hanging out in his hammock for fishing. (D)Last week, Donald fished 2 hours a day, and hung out in his hammock 4 hours a day. Using your formula for MRS from (c) find his MRS last week. (E) This week, Donald is fishing eight hours a day, and hanging out in his ham mock two hours a day. Calculate his MRS this week. Has his MRS increased or decreased? Explain why? (F) Is Donald happier or sadder this week compared to last week? Explain.

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