Economics (MindTap Course List)
13th Edition
ISBN: 9781337617383
Author: Roger A. Arnold
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 20, Problem 4WNG
To determine
Identify the maximization of utility.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Five consumers have the following marginal utility of apples and pears:
The price of an apple is $1, and the price of a pear is $2.Which, if any,of these consumers are optimizing over their choice of fruit? For those who are not,how should they change their spending?
Five consumers have the following marginal utility of apples and pears The price of an apple is $1, and the price of a pear is $2.Which, if any, of these consumers are optimizing over their choice of fruit? For those who are not, how should they change their spending?
Suppose you go to Trader Joe's to buy fruit for the week. You only like apples (A) and bananas
(B) and your weekly fruit budget is $11. When you arrive at Trader Joe's you notice that the
price of an apple is $1.00 and the price of a banana is $0.25.
QUESTION #1: How many apples and bananas should you buy?
QUESTION #2: When you have found the answer, draw a diagram that shows the outcome.
Step #1. Determine your preferences. Let's suppose that your preferences can be represented
by the following utility function: U(A, B) = AªBB = A0.40 B0.60
FYI: This utility function is known as a Cobb-Douglas utility function. It is the most commonly used function used in
economics! The reason we like it so much is that it has:
1. Constant returns (double your consumption of A and B and your utility doubles); a + B = 1
2. Diminishing marginal utility (the extra utility gained from consuming A (or B) decreases as you consume more of
the A good (or B good); a 0.40); B > a.
Step #2: Determine your…
Chapter 20 Solutions
Economics (MindTap Course List)
Ch. 20.1 - Prob. 1STCh. 20.1 - Prob. 2STCh. 20.1 - Prob. 3STCh. 20.2 - Prob. 1STCh. 20.2 - Prob. 2STCh. 20.3 - Prob. 1STCh. 20.3 - Prob. 2STCh. 20 - Prob. 1QPCh. 20 - Prob. 2QPCh. 20 - Prob. 3QP
Ch. 20 - Prob. 4QPCh. 20 - Prob. 5QPCh. 20 - Prob. 6QPCh. 20 - Prob. 7QPCh. 20 - Prob. 8QPCh. 20 - Prob. 9QPCh. 20 - Prob. 10QPCh. 20 - Prob. 11QPCh. 20 - Prob. 12QPCh. 20 - Prob. 13QPCh. 20 - Prob. 14QPCh. 20 - Prob. 15QPCh. 20 - Prob. 16QPCh. 20 - Prob. 1WNGCh. 20 - Prob. 2WNGCh. 20 - Prob. 3WNGCh. 20 - Prob. 4WNGCh. 20 - Prob. 5WNGCh. 20 - Prob. 6WNGCh. 20 - Prob. 7WNG
Knowledge Booster
Similar questions
- Suppose you go to Trader Joe's to buy fruit for the week. You only like apples (A) and bananas (B) and your weekly fruit budget is $11. When you arrive at Trader Joe's you notice that the price of an apple is $1.00 and the price of a banana is $0.25. QUESTION #1: How many apples and bananas should you buy? QUESTION #2: When you have found the answer, draw a diagram that shows the outcome. Step #1. Determine your preferences. Let's suppose that your preferences can be represented by the following utility function: U(A, B) = AªBß = A0.40 B0.60 FYI: This utility function is known as a Cobb-Douglas utility function. It is the most commonly used function used in economics! The reason we like it so much is that it has: 1. Constant returns (double your consumption of A and B and your utility doubles); a + B = 1 2. Diminishing marginal utility (the extra utility gained from consuming A (or B) decreases as you consume more of the A good (or B good); a 0.40); B > a. Step #2: Determine your…arrow_forwardImagine a pizza, with a question: How does each slice of pizza you consume impact your utility for the next?arrow_forwardHow does a consumer’s optimal choice of goods change if all prices and the consumer’s income double?arrow_forward
- Suppose you have $12 to buy apples or oranges. The price of both apples and oranges is $2, and the marginal utility of buying apples or oranges is shown in the following table: a. In equilibrium, how many apples and oranges would you buy? b. Please speculate and draw the demand curve for apples or oranges (Note: the demand curve depicts the function of price and quantity demanded).arrow_forwardThe table below shows the marginal utility from consuming mini pizzas and sodas. If pizzas and soda are the only goods and the price of a mini pizza is $1 and the price of a soda is $.50, how many of each will maximize utility if you have $4 for lunch?arrow_forwardUsing a budget line, why does a decrease in the price of a good allow one to potentially consume more of both goods?arrow_forward
- The budget set, or budget constraint, in the graph shows the possible combinations of brownies and ice cream cones that can be purchased. Assume that this person has a total of $18 to spend on brownies and ice cream cones. How much does a brownie cost? $ Assume that at point A, the marginal utility from a brownie is 10 and the marginal utility for an ice cream cone is 18. This person is utility maximizing. should consume more brownies and fewer ice cream cones. should consume more ice cream cones and fewer brownies. Brownies 18- 16- 14- 12- 10- 8- 6- 4 2. 0 1 2 3 1 A 1 + 4 5 Budget constraint 6 7 8 9 10 11 12 13 14 Ice cream conesarrow_forwardDo you think the model of consumer equilibrium describes how people really make the decisions on what to order to in a restaurant to maximize their utility? Is there a better model to measure consumer choice?arrow_forwardUsing the consumer choice theory, explain how an individual decides what combination of different products to buy?arrow_forward
- Rick consumes 2 goods, Chicken McNuggets (M) with Szechuan sauce (S). His utility function is U(M, S) = M2/3 S1/3 and his income is m. The price of Chicken McNuggets is p, and the price of Szechuan sauce is 1. Questions; Suppose m=100 and p=1. How much of each good does Rick consume? Draw a graph showing Rick’s budget constraint and indifference curve passing through his chosen consumption bundle. Suppose m=100 and p=2. How much of each good does Rick consume? On the same graph from part (e), show Rick’s budget constraint and indifference curve passing through his new chosen consumption bundle. On the same graph, show the (hypothetical) budget constraint that is tangent to the indifference curve from part (e) but parallel to the budget constraint in part (f). On the same graph, show the income and substitution effects of the increase in p from 1 to 2 on Rick’s consumption of Chicken McNuggets. Are Chicken McNuggets a normal or inferior good for Rick? Explain your answer. Find the…arrow_forwardWhat does a negative marginal utility means? Why does it happen?arrow_forwardComplete each of the following sentences: Your tastes determine the _____________ you derive from consuming a particular good. _______________ utility is the change in ________________ utility resulting from a _______________ change in the consumption of a good. As long as the marginal utility is positive, total utility is ____________________________. The law of diminishing marginal utility states that as an individual consumes more of a good during a given time period, other things constant, total utility ________________________.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Economics (MindTap Course List)EconomicsISBN:9781337617383Author:Roger A. ArnoldPublisher:Cengage Learning
Exploring EconomicsEconomicsISBN:9781544336329Author:Robert L. SextonPublisher:SAGE Publications, Inc
Economics (MindTap Course List)
Economics
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Cengage Learning
Exploring Economics
Economics
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:SAGE Publications, Inc