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. d) Would Aisha's optimal choice change if she could get a discount on her pizza purchases

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. d) Would Aisha's optimal choice change if she could get a discount on her pizza purchases

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter10: Consumer Choice Theory

Section: Chapter Questions

Problem 8P

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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 MU(L)= 3 MU(P)=1 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. Calculate Aisha’s marginal rate of substitution between leisure and pizza. Explain the concept of MRS and interpret the figure obtained. Find Aisha’s optimal consumption bundle, both algebraically and graphically. Explain your reasoning. Would Aisha’s optimal choice change if she could get a discount on her pizza purchases so that each pizza would cost…
What is meant by form utility?
Brenda wants to buy new car and has a budget of $25,000. She has just found a magazine that assigns each car an index for styling and an index for gas mileage. Each index runs from 1 to 10, with 10 representing either the most styling or best gas mileage. While looking at the list of cars, Brenda observes that on average, as the style index increases by one unit, the price of the car increases by $6,250. She also observed that as the gas-mileage index rises by one unit, the price of the car increases by $5,000. Illustrate the various combinations of style (S) and gas mileage (G) that Brenda could select with her $25,000 budget. Using the line drawing tool, illustrate Brenda's budget line. Label this line 'Budget Line'. Carefully follow the instructions above, and only draw the required object. Suppose Brenda's preferences are such that she always receives two times as much satisfaction from an extra unit of styling as she does from gas mileage. What type of car will Brenda choose?…
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1. Doreen is looking for a flat to rent in Brighton. a. In choosing a flat, she cares about two characteristics: the number of bedrooms (x), and the number of bathrooms (y). Her utility function is U(x,y) = min(x, 2y). She has £1000 to spent on rent per month. The rental price per bedroom in Brighton is £400, and the price per bathroom is £200. (For example, a flat with three bedrooms and two bathrooms would rent for £1600 per month.) How many bedrooms and bathrooms does Doreen choose to rent optimally? b. Doreen now needs to furnish her flat. She has £500 to spend. However, she would also like to buy some clothes for her new job. The cost of furniture f is £50 per unit and the cost of clothing c is £20 per unit. Her utility function over furniture and clothing is U(f.c) = f0.3c0.7. How much does she spend in total on furniture, and on clothing? c. The local furniture shop runs a flash sale of 50% off, on all prices. How much does Doreen now spend on furniture, and on clothing?…
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