Suppose that Fiona spends all of her income on 10 units of good X and 14 units of good Y. Fiona's...
Question:
Suppose that Fiona spends all of her income on 10 units of good X and 14 units of good Y. Fiona's marginal utility from the 10th unit of good X is 24 utils, and her marginal utility from the 14th unit of good Y is 20 utils. If the price of good X is $8 per unit and the price of good Y is $5 per unit, then to comply with the rational spending rule, Fiona should:
a. purchase more than 10 units of good X and less than 14 units of Y.
b. purchase less than 10 units of good X and more than 14 units of good Y.
c. purchase more than 10 units of good X and more than 14 units of good Y.
d. continue to purchase 10 units of good X and 14 units of good Y.
Marginal Utility:
The marginal utility tells us the consumer's change in overall satisfaction when it consumes the last product. A positive marginal utility means that the consumer receives benefits from the product and a negative marginal utility means that the consumer received dissatisfaction from the good.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answer- The correct answer is Option B.
Let us determine the marginal utility-price ratio for each goods. The formula is:
{eq}Marginal\:utility\:price\:ratio...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:

from
Chapter 3 / Lesson 10Learn about marginal utility and how it is calculated. Explore the basics of marginal utility, the marginal utility equation, and how it is applicable in economics.
Related to this Question
- Suppose the marginal utility of good A is 4 utils, and its price is $2. The marginal utility of good B is 6 utils, and its price is $1. Is the individual consumer maximizing (total) utility if she spends a total of $3 by buying one unit of each good? If n
- Assume that the marginal utility from good x is 10 units and the price of good x is $5 per unit. The marginal utility from good y is 15 units and its unit price is $7. In this situation, a utility-maximizing consumer should: a. consume more of good x. b.
- Suppose that the total utility from consuming one unit of good X is 54 utils, the total utility of two units of good X is 74 utils, and the total utility of three units of good X is 84 utils. The marginal utility of the third unit is: a. 70.67 utils. b. 1
- The marginal utility of good A is 4 utils, and its price is $2. The marginal utility of good B is 6 utils, and its price is $1. Is the individual consumer maximizing (total) utility if she spends a total of $3 by buying one unit of each good? If not, how
- Suppose that a consumer is currently spending all of her income on 10 units of good A and 5 units of good B. The price of good A is $4 per unit, the price of good B is $10 per unit, the marginal utility of the last unit of good A consumed is 20, and the m
- The marginal utility of good A is 4 utils and its price is $2. The marginal utility of good B is 6 utils and its price is $1. Is the individual consumer maximizing (total) utility if she spends a total of $3 by buying one unit of each good? If not, how ca
- Assume the marginal utility of good A is 4 utils and its price is $2 and that the marginal utility of good B is 6 utils and its price is $1. Complete the sentences to describe how the consumer should maximize her utility. The individual consumer [{Blank
- Suppose the marginal utility of a unit of good x = MUx, the marginal utility of a unit of good y = MUy, Px = the price of a unit of good x, and Py = the price of a unit of a good y. If MUx/Px greater than MUy/Py, the consumer should maintain his or her c
- Suppose that marginal utility of Good X = 100, the price of X is $10 per unit, and the price of Y is $5 per unit. Assuming that the consumer's in equilibrium and is consuming both X and Y, what must the marginal utility of Y be?
- Suppose that marginal utility of Good X = 100, the price of X is $10 per unit, and the price of Y is $5 per unit. Assuming that the consumer is in equilibrium and is consuming both X and Y, what must the marginal utility of Y be?
- Suppose the weighted marginal utility for two goods, X and Y at a position of consumer equilibrium is 70. if the price of good X is R 10 and the relevant marginal utility for Y is 140, what is the price of good Y and the relevant marginal utility for good
- The price of good A is $1, the price of good B is $2. The marginal utility you get from good A is 40; the marginal utility you get from good B is 60. You should: a. Keep consuming equal amounts of both goods. b. Consume more of good A and less of good B
- Suppose that the marginal utility of Good X = 100, the price of X is $10 per unit, and the price of Y is $5. Assuming that the consumer is in equilibrium and is consuming both X and Y, what must the marginal utility of Y be?
- A consumer with an income of $240 is spending it all on 12 units of good X and 18 units of good Y. The price of X is $5 and the price of Y is $10. The marginal utility of the last X is 20 and the marginal utility of the last Y is $30. What should the cons
- Imagine that two goods make you happy: Good A and good B. The marginal utility of good A is 10 at a price of $2 per unit and the marginal utility of good B is 5 at a price of $1 per unit. To satisfy the optimal consumption rule, you would want twice as ma
- Suppose that the marginal utility of good A is 4 times the marginal utility of good B, but the price of good A is only 2 times the price of good B. Is this point consumer equilibrium? If not, what will occur?
- The Total utility from consuming 8 units of a good is 155. The marginal utility of the 8th unit is 7 and the marginal utility of the 7th unit is 11. The total utility from consuming 6 units of the good is Blank.
- Monica consumes only goods A and B. Her marginal utility from good A is 1/Qa and her marginal utility from good B is 1/Qb. If the price of A is $1, the price of B is $8, and that Monica's income is $240, how much of good A will she purchase? A) 12 B) 24 C
- From a consumers utility function, the marginal utility of each good may be determined. Marginal utility refers to the: A.change in total utility from consuming each additional unit of a good B.tota
- In a two-good model, total utility is maximized when: a. the marginal utilities per dollar spent on each good are equal. b. the total utilities per dollar spent on each good are equal. c. the marginal utilities per dollar spent on each good are maximized.
- Suppose you are consuming a particular good, and you could somehow give back the last unit you consumed. What would happen to total and marginal utility (assuming that the marginal utility of the unit given back is positive)?
- If the price of a good falls, then in the new consumer equilibrium: a. the marginal utility from consuming the good will be higher than before. b. the quantity of the good consumed decreases. c. the marginal utility from substitutes will be lower than bef
- The price of good X is $1.50 and that of good Y is $1. If a particular consumer's marginal utility for Y is 30, and he is currently maximizing his total utility, then what must be his marginal utility of X?
- For each of the utility functions given by the formulas below, calculate the marginal utility of each good and the marginal rate of substitution of good 2 for good 1 at the indicated bundles. 1. u(x_1
- A consumer with a given income will maximize utility when each good is purchased in amounts such that the: (a) total utility is the same for each good. (b) marginal utility of each good is maximized. (c) marginal utility per dollar spent is the same for
- The marginal cost of the last unit that is traded is equal to (a) The average value of a unit of the good. (b) The price of a unit of the good. (c) The average expenditure of a unit of the good. (d) The average cost of a unit of the good. (e) The margina
- Suppose the marginal utility of a Coke is 15 utils and its price is $1. The marginal utility of a pizza is 20 utils, and its price is $2. If you buy 1 unit of each good, will you achieve consumer equilibrium? If not, how can greater total utility be obtai
- If the marginal utilities from two goods are not equal, then the consumer A) cannot be in equilibrium. B) should increase consumption of the good with the lower marginal utility. C) should decrease consumption of the good with the lower marginal utilit
- For the following utility function, find the marginal utility with respect to good 1 and good 2 and the marginal rate of substitution. 1 + x1^2 x2^2
- For the following utility function, find the marginal utility with respect to good 1 and good 2 and the marginal rate of substitution. 3x1^2 x2^5
- Suppose the marginal utility of good A is 20, its price is $4, and the marginal utility of good B is 50, and its price is $5. The individual to whom this information applies is spending $20 on each good. Is he or she maximizing satisfaction? If not, what
- For the following utility function, * Find the marginal utility of each good. * Determine whether the marginal utility decreases as consumption of each good increases (i.e., does the utility function
- Cole is about to purchase 4 units of good A and 6 units of good B. The price of both A and B is $2. Cole has only $20 to spend. Assume that the marginal utility of the fourth unit of A is 8 and the ma
- Marginal utility is measured as A) utility per unit of production. B) extra output divided by extra utility. C) output of a good or service divided by price. D) extra utility from each additional good
- Cole has $27 that he plans to spend purchasing 5 units of good X (priced at $3 per unit) and 6 units of good Y (priced at $2 per unit). The marginal utility of the fifth unit of X is 30, and the marginal utility of the sixth unit of Y is 30. If Cole is a
- Law of equi-marginal utility says that A. marginal utility should be same from all goods. B. marginal utilities should be equal to the price ratio. C. marginal rate of substitution should be equal to the price ratio. D. marginal utility of the last dollar
- Complete the following table. ||Units Consumed of Good A||Total Utility (TU)||Marginal Utility (MU) |1|20| |2|35| |3|45| |4|50| |5|50| |6|45| |7|35| a) What is the Marginal Utility by consuming 3 units of Good A? b) At what level of consumption Marginal U
- Total utility is maximized in the consumption of two goods by equating the: a. prices of both goods for the last dollar spent on each good. b. marginal utilities of both goods for the last dollar spent on each good. c. ratios of marginal utility to the pr
- Suppose that U(x1, x2) = x1 + x2. (a) What is MU1, the marginal utility of good 1? How about MU2? (b) Sketch an indifference curve. What is the marginal rate of substitution evaluated at (2, 3)? (c) What kind of utility function is this?
- Suppose that the last dollar that Victoria receives as income brings her a marginal utility of 10 utils while the last dollar that Fredrick receives as income brings him a marginal utility of 15 utils. If our goal is to maximize the combined total utility
- Suppose that the utility function is u(x, y) = Ax + By where A and B are constants. Also suppose that the marginal utility of x is 10 and the marginal utility of y is 20. Further suppose that the price of x is $20 and the price of y is $25 per unit. Suppo
- For a consumer to maximize utility from a given income,: a) the marginal utility from each good must be maximized. b) the total utility from each good must be maximized. c) the marginal utilities of all goods and services consumed must be equal. d) the ma
- John is currently spending all of his income. For the last unit of good A consumed, John gets 20 utils and for the last unit of good B consumed, he gets 10 utils. The price of good A is $4. The price of good B is $1. If John wants to maximize his utility,
- Total utility is maximized in the consumption of two goods by equating the a. prices of both goods for the last dollar spent on each good. b. marginal utilities of both goods for the last dollar spent on each good. c. ratios of marginal utility to the
- Consider the utility function u(x1,x2)=x1x2. Suppose that the price are given 1for each good and the income is 10. What is the Slutsky substitution effect on good 2? What is the income effect on goo
- The law of diminishing marginal utility implies that the: a. marginal utility of a good diminishes over time. b. first unit of a good consumed will contribute most to the consumer's satisfaction. c. last unit of a good consumed will contribute most to the
- Suppose you have a utility function u(x1, x2) = x1^(1/2)x2^(1/2). The prices for good 1 and good 2 are p1 and p2, and the consumer's income is m. The prices per unit for the two goods are p1 = p2 = $2, and the consumer's income is m = $100. a. Calculate t
- If a competitive firm's marginal profit is positive at an output of 1000 units: a. at 1000 units, Marginal revenue MC b. it will not produce 1000 units c. at 1000 units, marginal price derivative
- Consider the utility function u(x1, x2) = max{x1, x2}. Suppose that the price of good 1 is fixed at 1. The price of good 2 is given p2(>0) and the income is m(>0).
- If Jose Maria's utility function is U (x, y) = x + Ax ^{\alpha} y^{\beta} + y. What is his marginal utility of good y? Jose Maria's marginal utility of good y (MU_y) is
- Consider the utility function u(x_1, x_2) = max{x_1, x_2}. Suppose that the price of good 1 is fixed at 1. The price of good 2 is given p_2(gt 0) and the income is m(gt 0). Find out optimal choices a
- The utility-maximizing rule is to choose the basket of goods that: A. has the highest marginal utility of each good in the basket. B. has the lowest prices for the goods. C. has the highest value of marginal utility to price for each good. D. the marginal
- Consider a person with the following utility function when consuming two goods, x and z. U = x 0.1 y 0.9 a) What is the marginal rate of substitution? b) As a function of the price of good x(px), the price of good z(pz), and the income level (Y) derive th
- Suppose the marginal cost to produce a good is $10. There is only one person who is willing to purchase the good, and she is willing to pay $90 each for two units, and $30 for the third unit. Accordin
- A utility-maximizing consumer would never purchase a good if the a. MU/P were positive. b. marginal utility were positive. c. marginal utility were negative. d. None of the above answers are correct.
- Max's utility function is U=12XY, where the MUX=12Y and MUY=12X. The prices of good X and good Y are $24 and $30, respectively. Suppose that Max's indifference curve is tangent to his budget constraint, where he is consuming 40 units of good X. How many u
- The law of diminishing marginal utility states that: a. the marginal utility of all products consumed must be equal. b. as more of a good or service is consumed, the marginal utility derived from it
- If the marginal utility of good A is 15 and its price is $3, and the marginal utility of good B is 12 and its price is $4, then the consumer: a. has achieved a consumer optimum. b. should increase his or her consumption of good A. c. should increase his o
- A utility maximizing person has a utility function such that their marginal rate of substitution equals the amount of good Y they consume divided by the amount of good X that they consume (i.e. MRS = Y/X). If the prices of goods X and Y are the same, then
- An indifference curve has a negative slope because movement along the curve requires the consumer to give up the: a. marginal utility of one good. b. total utility of one good. c. marginal substitution value (MSV). d. marginal transitivity of one good.
- An indifference curve has a negative slope because movement along the curve requires the consumer to give up the: a. marginal utility of one good. b. total utility of one good. c. marginal substitution value. d. marginal transitivity of one good.
- Suppose we have the utility function U(x, y) = x^{0.1}y^{0.9}. A. What is the marginal utility of x? What is the marginal utility of y? What is the marginal rate of substitution? B. Suppose you have $200 to spend, the price of x s $1 and the price of y is
- The marginal utility associated with the additional consumption of X is given by the partial derivatives of the utility function with respect to good X. How is this related to optimization of utility in business economics?
- According to the principle of diminishing marginal utility: A. marginal utility stays the same. B. total utility stays the same. C. marginal utility decreases with each additional unit of a good that is consumed. D. marginal utility and total utility both
- The marginal utility for the third unit of X is 60 utils, and the marginal utility for the fourth unit of X is 45 utils. If the law of diminishing marginal utility holds, what is the minimum total utility of X?
- a. As more units of good X are consumed, what happens to utility and marginal utility of good X?
- A consumer buys only two goods, __X__ and __Y__. a. If the __MRS__ between __X__ and __Y__ is 4 and the marginal utility of __X__ is 20, what is the marginal utility of __Y__? b. If the __MRS__ between __X__ and __Y__ is 3 and the marginal utility of Y i
- The change in total utility resulting from a unit change in the consumption of a good or services is called: Marginal utility Marginal value utility Diminishing marginal utility Absolute utility
- In microeconomics the term utility references the: i. Relative scarcity of good service. ii. Usefulness of a good or service. iii. Satisfaction is derived from the consumption of a good or service. iv. Slope of a consumer's demand curve for a good servic
- Assume that a consumer derives more utility by spending an additional dollar on Good A rather than on Good B. We can assume that: A. the price of Good A is less than the price of Good B. B. the marginal utility per dollar spent on Good A is equal to the m
- Assume that Mr. Ken Cleanairsystems has marginal utility schedules for good X and Y as given below, that the price of X is $1 and the price of Y is $2. Mr. Cleanairsystems has an income of $9. When total utility is being maximized, Mr. Cleanairsystems wil
- Consider the utility function U(x,y)=2x+3y. The marginal utility of good x is given by: 2/3 3/2 2 1/3 3
- If a consumer buys a good, the expected: A. total utility derived from the consumption of the good is less than its price B. marginal utility of per dollar spent on the good equals its price C. mar
- Economists are able to determine total utility by: a) multiplying the marginal utility of the last unit consumed by the unit price. b) summing up the marginal utilities of each unit consumed. c) multiplying the marginal utility of the last unit consumed b
- Consider the utility function u(x_1,x_2) = max(x_1,x_2). Suppose that the price of good 1 is fixed at 1. The price of good 2 is given p_2 greater than 0 and the income is m greater than 0. a) Draw the
- In economics, the term marginal utility is defined as the: a. change in total satisfaction caused by the consumption of an additional unit of the good. b. average utility of each unit of a good consumed. c. inverse of the measure of total utility. d.
- Explain why a rational consumer who had diminishing marginal utility for a good would not consume an additional unit when it generates negative marginal utility, even when that unit is free. Include a detailed example in your explanation.
- Consider a market with two goods, x and z that has the following utility function U = (x^.8)(z^.2) a. What is the marginal rate of substitution? b. As a function of the price of good x (px), the pr
- Goods X and Y both give the same marginal utility, but good X costs $3 and good Y costs $2. You should: a. consume more of good X and less of good Y. b. keep consuming the current amounts of both good X and good Y. c. consume more of good Y and less of go
- The law of diminishing marginal utility exists for the first 4 units of a good if they have marginal utilities of: a. 1, 2, 4, 8 b. 8, 4, 1, 2 c. 4, 8, 2, 1 d. 8, 4, 2, 1
- For the following utility function, find the marginal utility with respect to good 1 and good 2 and the marginal rate of substitution. ln x1 + x2
- Suppose a consumer spends $100 of income on two goods: buying 4 units of good X (priced at $10) and 3 units of good Y (priced at $20). Both are substitute goods. a. Using indifference curves and budg
- The amount of added utility that a consumer gains from the consumption of one more unit of a good is called a. incremental utility. b. total utility. c. diminishing utility. d. marginal utility.
- The amount of added utility that a consumer gains from consumption of one more unit of a good is called a. incremental utility. b. total utility. c. diminishing utility. d. marginal utility.
- The production or consumption of an economic good that generates a negative externality results in: A. underproduction of the good and a price that is lower than marginal social cost. B. overproduction of the good and a price that is lower than marginal s
- For the two good case, the rational spending rule requires that: A. total expenditures on the two goods be equal. B. total utility from the two good be equal. C. average utility from the two goods be equal. D. the ratio of marginal utility to price be equ
- Marginal utility refers to the: a. change in total utility from consuming each additional unit of a good b. total utility from consuming a bundle of goods divided by the quantity of units consumed
- A consumer has an income of $300. Good X costs $10 per unit and good Y costs $20 per unit. Suppose the price of good X increases to $15 per unit and the price of good Y decreases to $15 per unit. Which of the following statement is true? A. The slope of
- Consider the utility function u(x1, x2) = max{x1, x2}. Suppose that the price of good 1 is fixed at 1. The price of good 2 is given p2 ( 0) and the income is m( 0). a) Find out the optimal choices at
- Suppose that Gina's marginal utility from drinking milk is 5 utils per liter, and her marginal utility from drinking coffee is 10 utils per litre. If the price of milk is 50 cents per litre, and the price of coffee is 80 cents per litre, is Gina maximisin
- Rational consumers will continue to consume two goods until a. the marginal utility per dollar's worth of the two goods is same. b. the marginal utility is the same for each good. c. the prices of the two goods are equal. d. the prices of the two good
- Rational economic agents would resist consuming any good where: a) the marginal utility of that good was negative since this would make you worse off. b) the marginal utility of that good was positive since this would make you worse off. c) the total util
- Suppose that a pure monopolist can sell 10 units of output at $10 per unit and 11 units at $9.50 per unit. The marginal revenue of the 11th unit of output is: a) $.50 b) $9.50 c) $4.50 d) $2.50.
- If the value of the marginal product of a worker is $20 and the market price of the good she produces is $5, her marginal product is: a. 10 units, b. 25 units, c. 4 units, d. 100 units.
- The marginal utility curve for units 6 through 8 of good Z lies below the horizontal axis. What does this imply must be true about the total utility curve for units 6 through 8 of good Z? a. That portion of good Z's total utility curve must also lie below
- A. Assume that an individual with the utility function U(x, y) = ln(x) + y has an income of $100 and that price of good y is equal to $1. Derive the demand curve for good x as a function of P_x. B. Assume that an individual with the utility function U(x,
- Consider the following utility function: U(X, \: Y) = 5X + 2Y. Find the marginal utility of each good.
- Suppose Valerie is consuming one novel per week and one movie per week. Assume that the marginal utility of novels is 40 utils and the marginal utility of movies is 50 utils. If each novel and each movie costs $4.00, is Valerie attaining consumer equilibr
- The indirect utility function is given by: U = 2In[2 / (3P1)] + ln[Y / (3P2)] Proove that the indirect utility function is homogeneous of degree zero in prices (P) and income (Y). Also, the Hicksian demand function for good 1 is: H (good 1) = (u + 2lnP1 +
- A. Define marginal utility, average utility, and total utility. B. What is the law of diminishing marginal utility? How is it related to consumer choice?