2.5 Ms. Caffeine enjoys coffee (C) and tea (T) accord-ing to the function U(C,T) = 3C+4T.a. What does her utility function say about herMRS of coffee for tea? What do her indiffer-ence curves look like?b. If coffee and tea cost $3 each and Ms. Caffeinehas $12 to spend on these products, how muchcoffee and tea should she buy to maximize herutility?c. Draw the graph of her indifference curve mapand her budget constraint, and show that theutility-maximizing point occurs only on theT-axis where no coffee is bought.d. Would this person buy any coffee if she hadmore money to spend?e. How would her consumption change if theprice of coffee fell to $2?

The Utility Function of Ms. Caffein for Coffee (C) and Tea (T) is given by:U(C,T)=3C+4TPart a:Now…

Answered: 2.5 Ms. Caffeine enjoys coffee (C) and…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Consider the figures to the right. Suppose that the individual currently consumes 5 digital apps. What happens to the person's total utility if they reduce their consumption to 4 units? Why does this fact imply that the marginal utility curve cuts through the horizontal axis of the lower figure between the fourth and fifth app consumed? Reducing consumption to 4 apps from 5 apps leaves total utility at utils in the upper , which is the figure. Hence, the marginal utility between these two quantities of apps equals value of the axis in the lower figure. Thus, the marginal utility curve crosses the axis of the lower figure between units 4 and 5. (Enter your responses as whole numbers.) Marginal Utility (utils per week) 6- 4- 22 Total Utility (utils + q r per week) 14- 12- 10- 20 ø Ø 18- 04 0 Downloaded Digital Apps Utilized per Week Downloaded Digital Apps Utilized per Week G Q
6. A consumer has an expenditure function given by E = Ū(P+). When the consumer has an income of 100, it can reach a maximum utility of 20. The price of x increases by 3 and the consumer's income increases by 25. Are they better off or worse off than before the changes? Explain how you know. Full solution please
Suppose you had a budget of $20.00 and the prices of a burger and a slice of pizza are $4.00 and $2.00 respectively. What is the marginal utility per dollar spent for the fourth burger?
2. Vibha consumes three goods X, (shirts), X, (food in pounds), and X, (shelter in square feet). Vibha's utility function is given by: U (X,, X, X,) = 5ln Xt 3ln X + 2ln X, where In (x) or log. (x) is the natural logarithm. Vibha's weekly income is $100. Let the price of X, = P, = $10, the price of X, = P, = $2, and the price of X, = P; = $4. What is the equation for Vibha's budget constraint? а. b. |How many shirts, pounds of food, and square feet of shelter, will Vibha consume, as a rational consumer?
Jackie has a budget of $36 per month to spend on snacks. She can spend this budget on bags of potato chips (C) and Hershey chocolate bars (H). Potato chips cost $4 per bag, while Hershey bars cost $1 per bar. The utility that Jackie receives from consuming potato chips and Hershey bars is represented by the following utility function: U=3C2 H. Given that Jackie seeks to maximize her utility, find the number of potato chip bags and Hershey chocolate bars that Jackie will purchase each month.
Please answer carefully and explain in as much detail as possible.
You consume music (M) and concert tickets (C). Your utility function is U(M, C) = M1/4C3/4. The marginal utility for concert tickets, MUC is MUC =3/4C-1/2M1/4 and the marginal utility for music, MUM is MUm = 1/4C3/4M-3/4 (a) Calculate MRSMC using only the given marginal utilities. (b) Solve for the utility of bundle A where M = 16 and C = 16. Solve for your utility at bundle B where M = 128 and C = 8. Are the utilities the same? (c) Calculate MRSMC at bundle A and at bundle B. Are they the same? (d) Are your indifference curves convex? Draw the ICs. Make sure to label the quantities of the consumption bundles, the axis, and the MRS at those bundles.
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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