Only part C. Thank you! 3*. Ms Smith likes to drink wine; in particular, a french bordeaux (f) at $40 per bottleand a California varietal wine (c) priced at $8. She allocates $600 to these two eachmonth; and her utility is: U(f, c) = f2/³c¹/³(a) Write out her (constrained) utility maximization problem. Solve for the optimalconsumption of wine f and c.(b) Suppose the price of f falls to $20, but c continues to be priced at $8. How muchof each wine will she buy under these altered conditions?(c) Find the the monetary value on the increased utility in (b)?[Hint: You can find either the Equivalent Variation (the extra income individualwilling to receive instead of price reduction); or the Compensating Variation (theamount of money individual is willing to give to as well off as before pricereduction)]

Utility function : U = f2/3c1/3Price of f (Pf) = 40 Price of c (Pc = 8 New price of (Pf ) =…

Ms Smith likes to drink wine; in particular, a french bordeaux (ƒ) at $40 per bottle and a California varietal wine (c) priced at $8. She allocates $600 to these two each month; and her utility is: U(ƒ, c) = ƒ²/³c¹/³ (a) Write out her (constrained) utility maximization problem. Solve for the optimal consumption of wine f and c. (b) Suppose the price of f falls to $20, but c continues to be priced at $8. How much

Ms Smith likes to drink wine; in particular, a french bordeaux (ƒ) at $40 per bottle and a California varietal wine (c) priced at $8. She allocates $600 to these two each month; and her utility is: U(ƒ, c) = ƒ²/³c¹/³ (a) Write out her (constrained) utility maximization problem. Solve for the optimal consumption of wine f and c. (b) Suppose the price of f falls to $20, but c continues to be priced at $8. How much

Microeconomics: Principles & Policy

14th Edition

ISBN:9781337794992

Author:William J. Baumol, Alan S. Blinder, John L. Solow

Publisher:William J. Baumol, Alan S. Blinder, John L. Solow

Chapter5: Consumer Choice: Individual And Market Demand

Section: Chapter Questions

Problem 3DQ

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1. Suppose that U (f,c) = f + 8c² is a utility function that describes Amelia's preferences over two goods: fish (f) and custard (c). For the following, think of fish as the good graphed on the horizontal axis. Derive an expression for her marginal utility (Uf) from a small increase in f holding c fixed. Also find the marginal utility for custard (U.). b. What is Amelia's marginal rate of substitution (MRS)? Give a brief (2 sentences maximum) intuitive description of what MRS represents. If Amelia has 4 units of custard, holding her utility constant, how many units of custard would she be willing to give up in order to get one more unit of fish? c. Graph Amelia's indifference curve for a utility level of 40. Be sure to specify at least 3 bundles of goods on the indifference curve. d. Does the fact that Amelia's indifference curve intersects with the custard axis violate any of the 5 properties of indifference curves? Briefly support your answer. a. Give another utility function that…
3. Suppose Mary enjoys Pepsi and Coke according to the functionU(P;C) = 4C + 5P. What does her utility function say about her MRS of Coke for Pepsi? What do her indi§erence curves look like? What type of goods are Pepsi and Coke for Mary? 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 maximiz- ing combination combination of Pepsi and Coke on the graph. how would her consumption and utility maximizing bundle of Coke and Pepsi change if the price of Coke decreases to 50 cents. 4. Vera is an impoverished graduate student who has only $100 a month to spend on food. She has read in a government publication that she can assure an adequate diet by eating only peanut butter and carrots in the Öxed ratio of 2 pounds of peanut butter to 1 pound of carrots, so she decides to limit her diet to that regime. a) If peanut butter costs $4 per pound and carrots cost $2 per…
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4.
Rohan’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.
2. Suppose John's utility function is UX,Y) = 4/XY , where X is consumption of beer and Y is consumption of pizza. For this utility function, ( Calculus Kahuna say: MUx = 2Y/X and MUy = 2\X/Y ) a) Suppose Y=3. Calculate John's utility for X=4,9,16, and 25. For a given level of Y, does good X display diminishing marginal utility?
For the utility function above, if the price of the good is $4, what is the marginal Utility per Dollar for the fourth unit consumed? For the utility function above, if the price of the good is $2, what is the marginal Utility per Dollar for the second unit consumed?
Quarts of ice cream Total utility from ice cream 0 0 1 80 2 150 3 210 4 260 From the information in the above table, what is the marginal utility of the third quart of ice cream? A) 80 B) 70 C) 60 D) 230 Pizza Pepsi Slices per week Total utility Quantity per week Total utility 0 0 0 0 1 100 1 70 2 150 2 130 3 175 3 180 4 190 4 220 5 195 5 250 The table shows Elaine's utility from pizza and Pepsi. If Elaine consumes 2 slices of pizza and 3 Pepsis, her marginal utility from the fourth Pepsi is ________ units. A) 60 B) 54 C) 40 D) 220 Fritos Fruit drinks Quantity Total utility Quantity Total utility 0 0 0 0 1 40 1 50 2 75 2 95 3 105 3 135 4 130 4 170 5 150 5 200 6 165 6 225 The table above shows the…
Refer to the graph below Quantity of Y 160 0 Multiple Choice The consumer's income is $1,000 Why doesn't the consumer choose the combination at point B O Quantity of X 200 O The marginal utility of Y exceeds the marginal uplity of X O The consumer is willing to give up more X for an additional unit of Y than must be given up given the relative prices of X and Y. The marginal utility per dollar spent on X exceeds the marginal utility per dollar spent on Y The consumer is willing to give up more Y for an additional unt of X than must be given up given the relative prices of X and Y
At a garage sale, Dominique purchases a sewing machine for $30 when she was willing to pay $55. If the sewing machine costs $200 new, Dominique's consumer surplus would be Select one: A. $120. В. $25. C. $170. O D. $0. OE. $145.
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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.