Micro Economics For Today
10th Edition
ISBN: 9781337613064
Author: Tucker, Irvin B.
Publisher: Cengage,
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Question
Chapter 6, Problem 24SQ
To determine
Utility maximization under a budget.
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The price of good "a" is $5 and the price of good "b" is $15. If the marginal utility of good "a" is 20 then the marginal utility of good "b" must be ________ to have an optimum combination of goods purchased.
80
20
60
4
According to the law of diminishing marginal utility, marginal utility of a good declines as more of it is
consumed in a given time
period. According to this law, which of the following statement is true?
a. The more I go to school, the more I want to do something else
b. Since we need gasoline more than we need paper, gasoline is more valuable
c. Peas give me no satisfaction, so I won't buy any
d. The more coffee I drink, the more I want to drink
#1
Chapter 6 Solutions
Micro Economics For Today
Ch. 6.1 - Prob. 1YTECh. 6.1 - Prob. 2YTECh. 6.2 - Prob. 1YTECh. 6.A - Prob. 1SQPCh. 6.A - Prob. 2SQPCh. 6.A - Prob. 3SQPCh. 6.A - Prob. 1SQCh. 6.A - Prob. 2SQCh. 6.A - Prob. 3SQCh. 6.A - Prob. 4SQ
Ch. 6.A - Prob. 5SQCh. 6.A - Prob. 6SQCh. 6.A - Prob. 7SQCh. 6.A - Prob. 8SQCh. 6.A - Prob. 9SQCh. 6.A - Prob. 10SQCh. 6.A - Prob. 11SQCh. 6.A - Prob. 12SQCh. 6.A - Prob. 13SQCh. 6.A - Prob. 14SQCh. 6.A - Prob. 15SQCh. 6 - Prob. 1SQPCh. 6 - Prob. 2SQPCh. 6 - Prob. 3SQPCh. 6 - Prob. 4SQPCh. 6 - Prob. 5SQPCh. 6 - Prob. 6SQPCh. 6 - Prob. 7SQPCh. 6 - Prob. 8SQPCh. 6 - Prob. 9SQPCh. 6 - Prob. 10SQPCh. 6 - Prob. 1SQCh. 6 - Prob. 2SQCh. 6 - Prob. 3SQCh. 6 - Prob. 4SQCh. 6 - Prob. 5SQCh. 6 - Prob. 6SQCh. 6 - Prob. 7SQCh. 6 - Prob. 8SQCh. 6 - Prob. 9SQCh. 6 - Prob. 10SQCh. 6 - Prob. 11SQCh. 6 - Prob. 12SQCh. 6 - Prob. 13SQCh. 6 - Prob. 14SQCh. 6 - Prob. 15SQCh. 6 - Prob. 16SQCh. 6 - Prob. 17SQCh. 6 - Prob. 18SQCh. 6 - Prob. 19SQCh. 6 - Prob. 20SQCh. 6 - Prob. 21SQCh. 6 - Prob. 22SQCh. 6 - Prob. 23SQCh. 6 - Prob. 24SQCh. 6 - Prob. 25SQ
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- I. You only consume two goods and your preferences are represented by utility function U(x₁, x₂) = (x0.5 + x2.5)² for x₁ > 2 and x₂ > 0. 1. Find your marginal utility for each good. Simplify your answers. Based on your answers, are your preferences strictly monotonic? Why or why not? 2. Do your preferences obey the law of diminishing marginal utility for each good? Why or why not? If not, what is the behavior of your marginal utility for each good? Use calculus and words to answer this question.arrow_forwardLarry and Teri allocate their consumption between two goods: hats and bats. The price of hats is €5 each, and the price of bats is €10 each. For Larry, the marginal utility of the last hat consumed was 8, and the marginal utility of the last bat was 24. For Teri, the marginal utility of the last hat was 6, and the marginal utility of the last bat was 12. Which consumer is not maximizing his/her utility? How can you tell? How should he/she change their allocation?arrow_forwardWhich one is answer?arrow_forward
- Mr. Max is about to purchase 4 units of good A and 6 units of good B. The price of both A and B is $2. Mr. Max has only $20 to spend. If the marginal utility of the fourth unit of A is 12 and the marginal utility of the sixth unit of B is 12, then: a. he should not buy anything. b. he should buy more of A and less of B. c. he should buy less of A and more of B. d. he should buy A and B in the quantities indicated. e. he should buy more of A and little more than that of B.arrow_forwardII. Your preferences are represented by the utility function U(x₁, x₂) = (x² − x²)0.5 for x₁ > 0, x₂ > 0, and x² > x².arrow_forwardYou are choosing between two goods, X and Y, and your marginal utility from each is as shown below. Units of X MUX Units of Y MUy 10 8. 2 2 7 3 4 4 4 4 6. 6 Instructions: Enter your answers as whole numbers. a. If your income is $18.00 and the prices of X and Y are $4.00 and $2.00, respectively, what quantities of each will you purchase to maximize utility? X = units. Y =O units. b. What total utility will you realize? c. Assume that, other things remaining unchanged, the price of X falls to $2.00. What quantities of X and Y will you now purchase? units. X =O units. Y = d. Using the two prices and quantities for X, derive a demand schedule (a table showing prices and quantities demanded) for X. Instructions: Start with the highest price first. Quantity Price Demandedarrow_forward
- According to the law of diminishing marginal utility: a. as you consume less of something, your total utility will decrease. b. as you consume less of something, your marginal utility from consuming that good will increase c. you should never consume more of something if your marginal utility is decreasing. d. If your total utility is increasing as you consume more of something, then your marginal utility must be increasing as well.arrow_forwardWhich statement BEST describes the principle of diminishing marginal utility? As an individual consumes more of a good: Select one: a. the marginal utility will eventually become negative. b. the total utility obtained will eventually become negative. c. the addition to total utility obtained from the nth unit of the good will be less than that obtained from the immediately preceding unit of the good. d. the total utility obtained will eventually fall.arrow_forwardLet us consider the case of Saiful who derives positive marginal utility from consuming apples. In the initial situation, Saiful consumed 3 apples per week. Now Saiful decides to consume 2 apples per week. What will be the effect of Saiful's decision of consuming 2 apples per week on his total utility and marginal utility? A. Total utility will increase and marginal utility will increase compared to the initial situation B. Total utility will decrease and marginal utility will increase compared to the initial situation C. Total utility will increase and marginal utility will decrease compared to the initial situation D. Total utility will decrease and marginal utility will decrease compared to the initial situationarrow_forward
- Suppose utility can be measured by "utils" and that Jim buys both coffee and bagels. The price of coffee is $2 and the price of a bagel is $3. If Jim is currently consuming coffee and bagels such that the marginal utility from the last cup of coffee consumed was 6 utils and the marginal utility from the last bagel consumed was 12 utils, is Jim maximizing utility? Why or why not? If not, what should Jim do? Explain in detail.arrow_forwardThe 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_forwardYou are choosing between two goods, X and Y, and your marginal utility from each is shown in the following table. Units of X MUX Units of Y MU 1 20 16 14 16 3. 12 3. 12 4 8. 4. 10 6. 4. 8. 6. 6. Instructions: Enter your answers as a whole number. a. If your income is $18.00 and the prices of X and Y are $4.00 and $2.00, respectively, what quantities of each will you purchase to maximize utility? units of X and units of Y b. What total utility will you realize? utilsarrow_forward
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