2. A consumer has and income of £40 to spend in two commodities. Commodity 1 costs £10 per unit, and commodity 2 costs £5 per unit. (i) What is the consumer's budget equation? If the consumer spends on his/her money on commodity 1, how much could he/she buy? Suppose the consumer was initially consuming 2 units of commodity 1 and 4 units of commodity 2. If the price of commodity 1 increases to £20 and the price of commodity 2 remains £5, by how much would the consumer's income have to rise so that he can still afford the initial bundle? (ii) Now suppose this consumer is a rational consumer and would like to maximize his/her utility. Explain how an increase in income will affect the consumer's optimal consumption bundle?

2. A consumer has and income of £40 to spend in two commodities. Commodity 1 costs £10 per unit, and commodity 2 costs £5 per unit. (i) What is the consumer's budget equation? If the consumer spends on his/her money on commodity 1, how much could he/she buy? Suppose the consumer was initially consuming 2 units of commodity 1 and 4 units of commodity 2. If the price of commodity 1 increases to £20 and the price of commodity 2 remains £5, by how much would the consumer's income have to rise so that he can still afford the initial bundle? (ii) Now suppose this consumer is a rational consumer and would like to maximize his/her utility. Explain how an increase in income will affect the consumer's optimal consumption bundle?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter17: Capital And Time

Section: Chapter Questions

Problem 17.8P

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1. What is the slope of the consumer’s budget line? Interpret economically.2. Graph the budget line showing all the different combinations of good ? (drawn on the horizontal axis) and good ? (drawn on the vertical axis) that can be bought given the consumer’s total income. In the graph, indicate the y-intercept and x-intercept of the budget line.
1-Which of the following provides a higher marginal utility, a diamond or a pint of water? A dimond A point of water They prodive about the same marginal utility 2- Unit of Apples MU of Apple Unit of Oranges MU of Oranges 1st 4 1st 9 2nd 3 2nd 3 3rd 1 3rd 2 4th 0 4th 0 Suppose the price of an apple is $2, and the price of an orange if $3. You have a budget $10 for these two items. What would you put in your basket first? an Apple an Orange You are indifferent between putting an apple or an orange in your basket. We do not have enough information to answer this question.
4. Suppose a person has $8 to spend only on apples and bananas. Apples 1 cost $0:4 each, and bananas cost $0:1 each. Furthermore, his preferences for apples (A) and bananas (B) can be represented by U = pAB. a) If A = 5 and B = 80, what will utility be?b) If A = 10, what value of for B will provide the same utility in part a? c) If A = 20, what value of for B will provide the same utility in parts a and b?d) Graph the indi§erence curve implied by parts a through c.e) Give the budget constraint, which of the points identiÖed in parts a through c can be bought by this person?f) show through some examples that every other way of allocating income provides less utility than does the point identiÖed in part b. graph this utility maximizing situation.
17 - Assume that a consumer has a given budget or income of $12 and that she can buy only two goods, apples or bananas. The price of an apple is $2.00 and the price of a banana is $1.00. If the consumer spent all of her budget on just apples or just bananas, how many apples or bananas maximum would she be able to buy?
Title Suppose that Lynn enjoys coconut oil in her coffee. She has very particular preferences, and she mus Description Suppose that Lynn enjoys coconut oil in her coffee. She has very particular preferences, and she must have exactly two spoonfuls of coconut oil for each cup of coffee. Let C be the number of cups of coffee, and O be the number of spoonfuls of coconut oil. Also, let PC be the price of a cup of coffee. Suppose Lynn has $12 to spend on coffee and coconut oil. Also, the price of coconut oil is $.50 per spoonful.a) Graph Lynnâs Price Consumption Curve for prices, PC = $1, PC = $2, and PC = $3. Please put the number of cups of coffee on the horizontal axis, and the number of spoonfuls of coconut oil on the vertical axis. Be sure to label your graph carefully and accurately.b) Graph Lynnâs demand curve for coffee. You may assume that both coconut oil and coffee are continuous variables so she can consume any amount of coffee and coconut oil that she could afford.…
3) Joshua is a utility maximizer and likes ice cream. He likes vanilla ice cream, but wouldhappily switch to chocolate ice cream if offered 1 scoop of chocolate ice cream for everyscoop of vanilla ice cream he has to give up. He has $5 of income to spend on ice cream.If vanilla ice cream costs $1 per scoop and chocolate ice cream costs $2.5 per scoop,Joshua will consume ______ scoops of chocolate and ______ scoops of vanilla ice creamper day.A) 0; 5B) 5; 0C) 2; 0D) 0; 2E) None of the above.
12)Suppose a consumer has $100 to spend on two goods, shoes and shirts. If the price of a pair of shoes is $20 per pair and the price of a shirt is $15 each, which of the following combinations is unaffordable to the consumer? A) 0 pairs of shoes and 0 shirts B) 2 pairs of shoes and 4 shirts C) 5 pairs of shoes and 0 shirts D) 0 pairs of shoes and 7 shirts E) 2 pairs of shoes and 3 shirts
5. A consumer buys only two goods, X and Y. No other goods exist and there is no possibility of saving. The marginal utility of X is independent of the quantity of Y consumed, and the marginal utility of Y is independent of the quantity of X consumed. MUX is constant no matter how he consumes, but MUY falls as consumption increases. In the initial equilibrium he consumes one of each good. How much can you infer about the following:a.) The slope of the indifference curveb.) The curvature of the indifference curvec.) Whether the marginal utility of money is constant, rising, or falling as money income increases.d.) the income elasticity of demand for Ye.) The price elasticity of demand for X.
Columns 1 through 4 in the following table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are, respectively, $18, $6, $4, and $24 and that Ricardo has an income of $106. a. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? b. How many dollars will Ricardo choose to save? c. Check your answers by substituting them into the algebraic statement of the utility-maximizing rule.
21. The budget constraint:(a) Represents the set of all baskets the consumer can afford(b) Represents the set of all baskets the consumer can afford while spending all availableincome(c) Represents the set of all baskets that give the consumer the same level of utility whileholding spending constant(d) Represents the set of all baskets in which the consumer purchases only one of the goods
A5 Suppose Will consumes 5 units of good X and receives 20 utils from the first unit, 18 from the second, 12 from the third, 7 from the fourth, and 1 from the fifth. The total utility Will receives from consuming 5 units is 50 utiIs. 58 utiIs. 40 utils 45 utils
1. Suppose you earn $1500 per week and you consume only two types of goods per week- sandwiches and orange juice, which you purchase at a mini mart. Each sandwich cost $150 and an orange juice is $75 per cup. Answer: a) Suppose your income increase from $1500 per week to $3000 per week. Construct a new table showing alternative combinations of sandwiches and cups of orange juice. Construct the new budget line. Why would this budget line be preferred to the old one with an income of $1500?