. Suppose Mary enjoys Pepsi and Coke according to the function U(P; C) = 4C + 5P. A.) What does her utility function say about her MRS of Coke for Pepsi? B.) What do her indifference curves look like? C.) What type of goods are Pepsi and Coke for Mary? D.) If Pepsi and Coke each cost $1 and Mary has $20 to spend on these products, how many units of each product should she buy in order to maximize her utility? Show this utility maximizing combination combination of Pepsi and Coke on the graph. E.) How would her consumption and utility maximizing bundle of Coke and Pepsi change if the price of Coke decreases to 50 cents
. Suppose Mary enjoys Pepsi and Coke according to the function U(P; C) = 4C +...
II. Ms. Caffeine enjoys coffee (C) and tea (T) according to the function U(C, T) = 3C + 4T. a. What does her utility function say about her MRS of coffee for tea? What do her indifference curves look like? b. If coffee and tea cost $3 each and Ms. Caffeine has $12 to spend on these products, how much coffee and tea should she buy to maximize her utility? c. Draw the graph of her indifference curve map and...
3. Judy drinks both Coke and Pepsi. Suppose the formula for her indifference curves is U(C P) = C +1.2P, where C stands for liters of Coke and P stands for liters of Pepsi consumed over a month (a) Draw three of Judy's indifference curves in her family of indifference curves. (b) Does she prefer a consumption bundle consisting of three liters of Coke and no Pepsi or a consumption bundle consisting of three liters of Pepsi and no Coke?...
Suppose that your utility from the consumption of Coke and Pepsi can be expressed as: U(C,P) = 2C2P Where P is the number of units of Pepsi consumed and C is the number of units of coke consumed. a. Draw indifference curves for U = 100 and U = 1000. b. If you have $100 to spend on these two goods, and C units cost $2 each and P units cost $1.5 each, draw your budget constraint below. c. Calculate...
1. (15 pts) Suppose Amy enjoys apple juice (A) and grape juice (G) according to U(A,G) = 3A+4G. (a) (4 pts) If apple juice costs 3 cents per ounce and grape juice costs 5 cents per ounce, and Amy has 30 cents to spend on these products, how much apple juice and grape juice should she buy to maximize her utility? (b) (3 pts) Draw the graph of her indifference map and her budget constraint, and show that the utility...
Ms. Caffeine enjoys coffee (C) and tea (T) according to the function U(C,T) = 2C + 3T. a. What is her marginal rate of substitution of coffee for tea? b. Do her indifference curves meet all the classic properties of indifference curves? Explain and give the implications of your answer. Assume her friend Josh only spends his discretionary money ($210) on chocolate truffles (priced at $7 a box) and comic books (p=$3 per comic book). His utility function is of...
4. Bert's preferences for Coke and Mountain Dew are described by the utility function U(C, M) 6C +2M (a) Find a formula for his indifference curves. Graph the indifference curves (b) What is Bert's marginal utility of Coke? (c) What is Bert's marginal utility of Mountain Dew? (d) What is Bert's MRS for Coke with Mountain Dew?
Lorelai's choice behavior can be represented by the utility function u(x1, 2) 0.9n(x)0.1x2. The prices of both xi and x2 are $5 and she has an income of $40. 1. What preference does this utility function represent? (Hint: the utility is function is not linear, but at least linear in good x2) 2. Drawinwg indifference curves: you can copy down the graph on your paper using econgraphs. Set the preferences and parameters accordingly as given in the question. Click on...
Question 2: Lorelai's choice behavior can be represented by the utility function u(x1, 2)0.9Inx)0.1x2 The prices of both x1 and x2 are $5 and she has an income of $40. 1. What preference does this utility function represent? (Hint: the utility is function is not linear, 2. Drawinwg indifference curves: you can copy down the graph on your paper using econgraphs. Set but at least linear in good x2) the preferences and parameters accordingly as given in the question. Click...
2. 2.1 Draw the indifference curves for the utility function U(21, 22) = x1 + 3x2. 2.2 What is the marginal rate of substitution evaluated at an arbitrary consumption bundle (21, 22)? 2.3 Suppose that p1 = 5, P2 = 2, and M = 10. Find the utility-maximizing consump- tion bundle (among those that satisfy the budge constraint) for this agent. You should be able to do this without using any calculus: it should be clear from your indifference curves....
(Use this information to answer a, b, c below) Suppose Mary’s utility function for two goods X and Y is given by: U(X,Y) = 3X1/2Y1/2 . Suppose consumption bundle A consists of 10 units of X and 30 units of Y, and consumption bundle B consists of 40 units of X and 20 units of Y. a. Consumption bundle A lies on a higher/lower/same indifference curve than consumption bundle B. Show computations. b. Compute Mary’s MRSxy at consumption bundle A....