Micro Economics For Today
10th Edition
ISBN: 9781337613064
Author: Tucker, Irvin B.
Publisher: Cengage,
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Question
Chapter 6, Problem 23SQ
To determine
Utility maximization without budget constraint.
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#1
A consumer currently spends a given budget on two goods, X and Y, in such quantities that the marginal utility of X is 15 and the marginal utility of Y is 8. The unit price of X is $3 and the unit price of Y is $2. The utility-maximizing rule suggests that this consumer should Multiple Choice
a. decrease consumption of product X and increase consumption of product Y.
b. increase consumption of product X and increase consumption of product Y.
c. decrease consumption of product Y and increase consumption of product X.
d. stick with the current consumption mix because it yields maximum utility.
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.
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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Similar questions
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- Larry 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_forwardI. 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_forwardWhich one is answer?arrow_forward
- You 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_forwardAssume that you only buy two goods, fish and Fanta soda. You are analyzing your personal consumption for the two goods. Assume that you have a weekly budget of $80, fish costs $5 per Ib and Fanta costs $2 a soda. a. Draw your budget line with Fanta on the y-axis. Calculate the x and y intercepts as well as the slope of the budget line. Include your personal indifference curve to show your optimal consumption between the two goods (assume that your indifference curve is such that you consume positive values of each good). 3. Assume that the price of fish falls from $5 per Ib to $4 per Ib. On a new graph draw the change in price along with the new intercept(s) and new optimal consumption point.arrow_forwardA consumer is spending all of her income and receiving 100 utils from the last unit of good A and 80 utils from the last unit of good B. If the price of good A is $2 and the price of good B is $1, to maximize total utility the consumer should buy: Select one: a. Less of both goods. b. More of good B. c. More of good A. d. Less of good B. e. More of both goods.arrow_forward
- Which 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_forward1. Suppose that a consumer’s utility function for two goods (X and Y) is U(X,Y) = 10X^0.5 + 2Y , with MUx = 5X-0.5 and MUy = 2. The price of good X is $5 per unit, the price of good Y is $10 per unit, and the income is $275. a. Find the utility maximizing quantities of X and Y. b. If instead, the price of good Y is $20 per unit, how does your answer change?arrow_forwardQuestion 10 If look at the indifference curves and budget constraint for two goods, X and Y, we can find a new points on a consumer's demand curve for good X by Group of answer choices shifting the budget constraint so that both intercepts change. pivoting the budget constraint so that the Y-intercept stays put, but the X intercept changes. pivoting the budget constraint so that the X-intercept stays put, but the Y intercept changes. keeping the budget constraint the same, but changing the indifference curve.arrow_forward
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