2 An individual's utility function is given by U = x;X2 where x, and x, denote the number of items of two goods, G1 and G2. The prices of the goods are $2 and $10 respectively. Assuming that the individual has $400 available to spend on these goods, find the utility-maximizing values of x, and x2. Verify that the ratio of marginal utility to price is the same

2 An individual's utility function is given by U = x;X2 where x, and x, denote the number of items of two goods, G1 and G2. The prices of the goods are $2 and $10 respectively. Assuming that the individual has $400 available to spend on these goods, find the utility-maximizing values of x, and x2. Verify that the ratio of marginal utility to price is the same

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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2. Utility function: U(X,Y)= 2XY* Budget Constraint: 2X +4Y = 80 a. Calculate the utility maximizing amount of X and Y.
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A utility function is given as U = √MB where B represents the quantity of books consumed and M represents magazines. This uülity is shown via indifference curves in the diagram to the right. Holding the number of magazines constant at 20 units, as we increase our consumption of books from 5 units to 10 to 15 and to 20 units, marginal utility with respect to books. is CIES Magazines (Y) 50- 45 40 35 30 25- 20- 15- 10- 5 0- 10 15 RSTV a quie 10 15 20 25 30 35 40 Books (X) 45 5 eboo SCOR scor scor score score
Miss Coco consumes cheese cake and curry puff. Her consumption yields the following total utility as shown in the given table. Miss Coco has RM52 to spend. Suppose that the prices of cheese cake and curry puff are RM8 and RM4, respectively. Quantity (units) Total Utility Cheese Cake Curry Puff 1 56 32 2 104 60 3 136 84 4 160 104 5 170 116 6 176 126 7 178 134 What is the marginal utility for cheese cake at quantity 5 units
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4. Suppose that a consumer with the utility function U =X0.25 Y0.75 choses a bundle where X=5 and Y=10. If the prices of the two goods are Px= $1, and Py = $3. Calculate marginal utility per dollar spent on each good. Can this consumer increase utility without increasing expenditure and if so how?
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Suppose the function for the utility from good c is denoted as U(c)=2c1/2 . Which of the following expressions indicates the marginal utility of c?