Connect Access Card for Microeconomics
21st Edition
ISBN: 9781259915734
Author: Campbell McConnell, Stanley Brue, Sean Flynn
Publisher: McGraw-Hill Education
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Question
Chapter 7, Problem 2DQ
To determine
Utility maximizing combination.
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A consumer’s budget set for two goods (X and Y) is 600 ≥ 3X + 6Y. (LO2)
a. Illustrate the budget set in a diagram.
b. Does the budget set change if the prices of both goods double and the consumer’s
income also doubles? Explain.
c. Given the equation for the budget set, can you determine the prices of the two
goods? The consumer’s income? Explain.
True or false with reasoning:
1) _______When we claim that utility can be ordinally measured, we assume that the consumer is able to measure the total and marginal utility received when one extra unit of a commodity is consumed.
2)_______If MRS between two goods is constant, then having more of one good without having more of the other does not increase utility.
3)_______Marginal Utility increases until total utility is at a maximum and then marginal utility decreases.
John’s preferences for Orange (O) and lemons (L) are represented by the funtion U(O, L)= O+2L. The oranges cost £2 and the lemons £1. Given that John’s monthly income is £30 answer the following questions:
What type of goods are oranges and lemons for John?
What is the proportion to which John is willing to exchange Oranges for Lemons?
Illustrate and solve graphically John’s utility maximization problem.
If his income increases every month by £10, how will John’s consumption choice be affected? Illustrate graphically the income expansion path and the Engel curve for each good.
How will an increase in the price of Lemons to £6 affect John’s optimal consumption choice? (John’s income is £30)
Graph John’s demand curve for each good.
Assume that John wins a voucher of £20, redeemable only in Oranges. How would this affect John’s utility? (Assume that prices and income are as described initially)
Assume that John is presented with two options: an Orange voucher of £20 or just £6 to spend…
Chapter 7 Solutions
Connect Access Card for Microeconomics
Ch. 7.1 - Prob. 1QQCh. 7.1 - Prob. 2QQCh. 7.1 - Prob. 3QQCh. 7.1 - Prob. 4QQCh. 7.A - Prob. 1ADQCh. 7.A - Prob. 2ADQCh. 7.A - Prob. 3ADQCh. 7.A - Prob. 1ARQCh. 7.A - Prob. 2ARQCh. 7.A - Prob. 1AP
Ch. 7.A - Prob. 2APCh. 7.A - Prob. 3APCh. 7 - Prob. 1DQCh. 7 - Prob. 2DQCh. 7 - Prob. 3DQCh. 7 - Prob. 4DQCh. 7 - Prob. 5DQCh. 7 - Prob. 6DQCh. 7 - Prob. 7DQCh. 7 - Prob. 8DQCh. 7 - Prob. 9DQCh. 7 - Prob. 10DQCh. 7 - Prob. 1RQCh. 7 - Prob. 2RQCh. 7 - Prob. 3RQCh. 7 - Prob. 4RQCh. 7 - Prob. 5RQCh. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7P
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- What is the rule relating the ratio of marginal utility to prices of two goods at the optimal choice? Explain why, if this rule does not hold, the choice cannot be utility-maximizingarrow_forwardYou are choosing between two goods, X and Y, and your marginal utility from each is as shown in the table below. If your income is $9 and the prices of X and Y are $2 and $1, respectively, what quantities of each will you purchase to maximize utility? What total utility will you realize? Assume that, other things remaining unchanged, the price of X falls to $1. What quantities of X and Y will you now purchase? Using the two prices and quantities for X, derive a demand schedule (price–quantity-demanded table) for X.arrow_forwardRohan’s current marginal utility from consuming peanuts is 100 utils per ounce and his marginal utility from consuming cashews is 200 utils per ounce. If peanuts cost $0.10 per ounce and cashews cost $0.50 per ounce, is Rohan maximizing his total utility from the kinds of nuts? Instructions: Enter your responses as whole numbers. At the current level of peanut consumption, Rohan receives: utils per dollar.At the current level of cashew consumption, Rohan receives: utils per dollar.Therefore, Rohan maximizing his total utility because MUp/Pp is MUc/Pc.arrow_forward
- You 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 MUy 1 10 1 8 2 8 2 7 3 6 3 6 4 4 4 5 5 3 5 4 6 2 6 3 a. If your income is $9 and the prices of X and Y are $2 and $1, 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? ______utils c. Assume that, other things remaining unchanged, the price of X falls to $1. What quantities of X and Y will you now purchase? _____units of X and ______units of Y d. Using the two prices and quantities for X, complete the table to derive the demand schedule (a table showing prices and quantities demanded) for X. Instructions: Start with the highest price first Price of X Quantity Demanded of X $ $arrow_forwardRohan’s current marginal utility from consuming peanuts is 100 utils per ounce and his marginal utility from consuming cashews is 200 utils per ounce. If peanuts cost $0.10 per ounce and cashews cost $0.50 per ounce, is Rohan maximizing his total utility from the kinds of nuts? Enter your responses as whole numbers. At the current level of peanut consumption, Rohan receives: utils per dollar.At the current level of cashew consumption, Rohan receives: utils per dollar.Therefore, Rohan maximizing his total utility because MUp/Pp is MUc/Pc.arrow_forwardRefer to Table 11W.1 and suppose the price of new product C is $2 instead of $4. How does this affect the optimal combination of products A, B, and C for the person represented by the data? Explain: “The success of a new product depends not only on its marginal utility but also on its price.”arrow_forward
- 22. Peanut butter (PB) sells for 10 dollars per pound and Oysters (O) sell for 50 dollars perpound. Suppose Pat buys 5 pounds of peanut butter and one pound of oysters each month.With this consumption bundle, his MRSP B,O = 3. Which of the following is true (assumingPat’s preferences satisfy all the basic assumptions of consumer theory)?(a) Pat could increase his utility by buying more oysters and less peanut butter.(b) Pat could increase his utility by buying more peanut butter and less oysters.(c) Pat could increase his utility by buying more peanut butter and more oysters.(d) Pat could increase his utility by buying less peanut butter and less oysters.arrow_forwardIndicate whether each of the following statements is true or false. Explain why.The law of diminishing marginal utility states that as an individual increases consumption of a given product within a set period of time, the utility gained from consumption eventually declines.Marginal utility measures the added satisfaction derived from a one-unit increase in consumption, holding consumption of other goods and services constant.When goods are relatively scarce, the law of diminishing marginal utility means that the added value of another unit of goods will be small in relation to the added value of another unit of services.The law of diminishing marginal utility gives rise to a downward-sloping demand curve for all goods and services.arrow_forwardSuppose that Omar’s marginal utility for cups of coffee is constant at 1.5 utils per cup no matter how many cups he drinks. On the other hand, his marginal utility per doughnut is 10 for the first doughnut he eats, 9 for the second he eats, 8 for the third he eats, and so on (that is, declining by 1 util per additional doughnut). In addition, suppose that coffee costs $1 per cup, doughnuts cost $1 each, and Omar has a budget that he can spend only on doughnuts, coffee, or both. How big would that budget have to be before he would spend a dollar buying a first cup of coffee?arrow_forward
- You are choosing between two goods, X and Y, and your marginal utility from each is as shown in the following table. If your income is $9 and the prices of X and Y are $2 and $1, respectively, what quantities of each will you purchase to maximize utility? What total utility will you realize? Assume that, other things remaining unchanged, the price of X falls to $1. What quantities of X and Y will you now purchase? Using the two prices and quantities for X, derive a demand schedule (a table showing prices and quantities demanded) for X.arrow_forwardKai’s current marginal utility from consuming orange juice is 50 utils per ounce and her marginal utility from consuming coffee is 50 utils per ounce. If orange juice costs $0.25 per ounce and coffee costs $0.20 per ounce, is Kai maximizing her total utility from the two beverages? Instructions: Enter your responses as whole numbers. At her current level of consumption, Kai receives: utils per dollar spent on orange juice.At her current level of consumption, Kai receives: utils per dollar spent on coffee.Therefore, Kai maximizing her total utility because MUoj/Poj is MUc/Pc. Kai’s current marginal utility from consuming orange juice is 50 utils per ounce and her marginal utility from consuming coffee is 50 utils per ounce. If orange juice costs $0.25 per ounce and coffee costs $0.20 per ounce, is Kai maximizing her total utility from the two beverages? Enter your responses as whole numbers. At her current level of consumption, Kai receives: utils per dollar…arrow_forwardAssume a piece of jewelry, and 3 consecutive drops in its price, from ??1 to ??2, from ??2 to ??3 and from ??3 to ??4. Alia’s preferences are such that her demand is relatively elastic between ??1 and ??2, relatively inelastic between ??2 and ??3, and that she perceives that piece of jewelry as a Giffen good between prices ??3 and ??4. How would her priceconsumption curve look like in an indifference curves framework with well-behaved preferences? Clearly label your graph.arrow_forward
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