The graph below shows David’s preferences for leisure and consumption. Draw three budget constraints in the graph below. One if David’s wage is $10 per hour (BC1), another if his wage is $20 per hour (BC2) and a third for if his wage is $30 per hour (BC3). Show the optimal combination of leisure and consumption for each of the three budget constraints. Label the optimal amount of Leisure, L1, L2 & L3, and label the optimal amounts of consumption C1, C2 & C3.

The graph below shows David’s preferences for leisure and consumption. Draw three budget constraints in the graph below. One if David’s wage is $10 per hour (BC1), another if his wage is $20 per hour (BC2) and a third for if his wage is $30 per hour (BC3). Show the optimal combination of leisure and consumption for each of the three budget constraints. Label the optimal amount of Leisure, L1, L2 & L3, and label the optimal amounts of consumption C1, C2 & C3.

Micro Economics For Today

10th Edition

ISBN:9781337613064

Author:Tucker, Irvin B.

Publisher:Tucker, Irvin B.

Chapter6: Consumer Choice Theory

Section6.A: Indifference Curve Analysis

Problem 1SQP

See similar textbooks

Similar questions

Suppose that the price of commodity Y is $ 20 per unit while the price of commodity X is $ 15 per unit and suppose that an individual’s money income is $ 100 per period and is all spent on X & Y. Draw the budget constraint line for this consumer at the initial point. If the price of X decreases to $10, incorporate BL2 showing change in the Budget line.
Suppose that the price of commodity Y is $2 per unit while the price of commodity X is $4 per unit and suppose that an individual’s money income is $100 per time period and is all spent on X and Y. Draw the budget constraint line for this consumer at the initial point. 2.If the price of Y decreases to $3, incorporate BL2 showing change in the Budget line.
Assuming the two good case. When a person is attempting to maximize utility and the price of one of the two goods increases, then: The budget constraint will contract (rotate towards the origin), shifting the budget line inward indicating more choices are now affordable and a lower utility level is now possible. The budget constraint will contract (rotate towards the origin), shifting the budget line outward indicating fewer more are now affordable and a higher utility level is now possible. The budget constraint will contract (rotate towards the origin), shifting the budget line inward indicating fewer choices are now affordable and a lower utility level is now possible.
Q12. Consider a utility function: U (F,C) = FC so MU_F = C and MU_C = F.Suppose as Case X, Total income is $100 and per unit prices of Food (F) and Cloth (C) are $2 and $15, respectively. a. What is the value of MRS at the optimal point and what does this value mean? b. What is the optimal consumption bundle i.e (F*,C*)? c. Plot the budget line and clearly depict the point of optimality in the F (x-axis)-C (y-axis) space.
Q3. Consider a utility function with one consumption good q1 and one type of leisure q2 c) Show mathematically and diagrammatically the decomposition of totaleffect.
q7- When leisure is a normal good, the income effect from an increase in wages is manifest in a(n): Select one: a. desire to consume less leisure b. a change in preferences c. desire to consume more leisure d. a shift inwards of the budget constraint
Mrs. Griffiths earns $5000 a week and spends her entire income on dresses and handbags, since these are the only two items that provide her utility. Furthermore, Mrs. Griffiths insists that for every dress she buys, she must also buy a handbag. Suppose the price of a dress increases to $200 and income decreases to $4200. What is the new algebraic equation for Mrs. Griffiths budget constraint? Show the impact of the new budget line relative to the original budget line.
Q9. Consider a utility function: U (F,C) = FC so MU_F = C and MU_C = F.Suppose as Case X, Total income is $100 and per unit prices of Food (F) and Cloth (C) are $2 and $15, respectively. a. What is the value of MRS at the optimal point and what does this value mean? b. What is the optimal consumption bundle i.e (F*,C*)? c. Plot the budget line and clearly depict the point of optimality in the F (x-axis)-C (y-axis) space. d. Now assume a new Case Y, Pc' = $10, holding all else the same, do the same analysis (parts a-c) and contrast your answers to Case X. For part c, you should draw old (Case X) and new (Case Y) budget lines/point of optimality.
An individual is faced with a choice of buying housing in one of two markets; the private market where he may buy any amount of housing he pleases at the going price, and the public housing market where he will be offered, on a take-it-or-leave-it-basis, a particular amount of housing at a price lower than that which he would pay for it on the private market. Will he necessarily choose the public housing? If so, may we conclude that he will consume more housing than he would have purchased had he been forced to buy it on the private market? (With thanks to Dr Leslie Rosenthal.)
Assume you can work as many hours you wish at £12 per hour (net of tax). If you do not work, you have no income. You have no ability to borrow or lend, so your consumption, c, is simply equal to your income. Assume that your optimal choice of consumption and leisure is to work 8 hours per day. Illustrate this choice diagrammatically using the feasible set and indifference curves.
Assuming the two good case. When a person is attempting to maximize utility and the price of one of the two goods increases, then: a. The budget constraint will expand (rotate away from the origin), shifting the budget line outward indicating fewer choices are now affordable and a lower utility level is now possible. b. The budget constraint will contract (rotate towards the origin), shifting the budget line inward indicating more choices are now affordable and a lower utility level is now possible. c. The budget constraint will contract (rotate towards the origin), shifting the budget line outward indicating fewer more are now affordable and a higher utility level is now possible. d. The budget constraint will contract (rotate towards the origin), shifting the budget line inward indicating fewer choices are now affordable and a lower utility level is now possible.
You run a foundation that provides help to families during the holiday season. You distribute both clothing and food, which you buy (at discounted prices) with money from donors. Clothing costs you $1 per pound and food costs $4 per crate. 1a) With a budget of $1,000, draw your budget constraint on the graph below (labeling the intercepts) and illustrate a hypothetical utility-maximizing choice with an indifference curve, labeling the resulting choice of clothing and food as simply C* and F*. 1b) This year, you are happy to learn that the city is providing a match for money spent on food, so that you will need to spend only half as much per crate you provide. How is this likely to change the quantities of food and clothing you provide? Explain.