3. You have improved your marks this year and your parents are impressed and wish to reward you for your efforts. You have convinced them that your lifestyle (level of utility) should be 360,000 utils. Given your total utility function as TU = 20XY and the price of Y is $10 and the price of X is $50, what is the income you require to achieve a lifestyle of 360,000 utils. Show work.
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- EXERCISE 7 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. (MU₁ = 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…2. Tom spends all his $100 weekly income on two goods, apples and bananas. His utility function is given by U (A, B) = AB, where A and B stand for the quantity of apples and bananas consumed by Tom. If PA = $4 and PB= $10, how many apples and bananas will he consume? Make sure you write out the utility maximization problem explicitly, including the decision variable(s). What if his utility function is given by U (A, B) = A0.5B 0.5?If you had a vacation budget of $3000 to take vacation(s) this fall, use utility analysis theory to predict which vacation that you would participate in this fall. You need to explain why you would take this vacation instead of another one that you were considering. Assume that you must take the vacation or all life on Earth would perish. I made that last assumption to prevent you from saying that you would just spend it to pay down bills or put it in savings. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- 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? 12You are choosing between two goods, X and Y, and your marginal utility from each is as shown in the table below. If your income is $9 and the prices of X and Y are $2 and $1, respectively, what quantities of each will you purchase to maximize utility? What total utility will you realize? Assume that, other things remaining unchanged, the price of X falls to $1. What quantities of X and Y will you now purchase? Using the two prices and quantities for X, derive a demand schedule (price–quantity-demanded table) for X.A student has a monthly budget of $120 to spend on either burritos, which cost $6 each, orsodas, which cost $4 each.What is the largest number of burritos that the student could afford to purchase in onemonth?What is the largest number of sodas the student could afford to purchase in one month? Draw the student's budget constraint. Put burritos on the x-axis and sodas on the y-axis.
- You are choosing between two goods, X and Y, and your marginal utility from each is as shown in the following table. If your income is $9 and the prices of X and Y are $2 and $1, respectively, what quantities of each will you purchase to maximize utility? What total utility will you realize? Assume that, other things remaining unchanged, the price of X falls to $1. What quantities of X and Y will you now purchase? Using the two prices and quantities for X, derive a demand schedule (a table showing prices and quantities demanded) for X.1. A consumer has an income of $3024 to spend each day. The only two goods the consumer is interested in purchasing are goods A and B. The marginal-utility schedules for these two goods are shown in the table below. The price of B does not change and is $378. The marginal utility per dollar from B is also shown in the table. But the price of A varies as shown in the table. The marginal utility per dollar from A when the price of A is $1512 and $756 is shown in the following table. Good A Good B Quantity MU MU/$1512 MU/$756 MU MU/$378 1 24 2 15 3 12 4 8 5 6 6 4 48 32 24 16 8 4 ||||| ||||| |||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. 
- *Calculate the marginal utility per dollar of going from eight to nine DVDs. * To increase total utility without increasing spending, should Skeeter change the amount of consumption of either good? No, Skeeter is already consuming at the optimal consumption bundle. Yes, Skeeter should choose more smoothies and fewer DVDs. Yes, Skeeter should choose fewer smoothies and more DVDs. Yes, Skeeter should choose more smoothies and more DVDs. * What is the total utility at the optimal consumption bundle?Hi can you solve this step by step please. Eric receives utility from days spent traveling on vacation domestically (D) and days spent traveling in a foreign country (F) as given by the utility U(D, F) = DF. The price of a day spent traveling domestically is $160 and in a foreign country $200. Eric’s annual budget for traveling is $8,000. Find Eric’s utility maximizing choice of days traveling domestically and in a foreign country. Find also his utility level from consuming that bundle.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