When plotted Sarah's indifference curve for coffee andtea reveals parallel indifference curves that always havea slope of -1. Suppose that Sarah's budget constraint is20 -1.5C+1.0T where C is the quantity of coffee and T istea. If Sarah wants to maximize utility, she will buy: a)equal amount of coffee and tea b) coffee only c) teaonly d) more coffee than tea e) a combination of coffeeand tea cannot be determined from the informationgiven

Step 1: Step 2: Step 3: Step 4:

Answered: When plotted Sarah's indifference curve…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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The tables show the utility Parker experienced from consuming varying quantities of waffles and pancakes. Assume that waffles cost $2.00 each, pancakes cost $1.00 each, and that Parker has $8.00 to spend on these two goods. Since Parker cannot afford more than four waffles or eight pancakes, the utility is given only for quantities smaller than these. Quantity of waffles Total utility of waffles Marginal utility of waffles 1 100 100 2 180 80 3 240 60 4 270 30 Quantity of pancakes Total utility of pancakes Marginal utility of pancakes 1 40 40 2 70 30 3 90 20 4 105 15 5 115 10 6 120 5 7 123 3 8 125 2 Given his budget constraint, determine what quantities of waffles and pancakes Parker will consume to maximize utility. quantity of waffles: waffleswaffles quantity of pancakes: pancakes
In Workout problem 5.1, Charlie has a utility function U(xA, xB) = xAxB, the price of apples is $1, and the price of bananas is $2. If Charlie's income were $160, how many units of bananas would he consume if he chose the bundle that maximized his utility subject to his budget constraint?
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.
Assume that the price of oranges is $2 and the price of starfruit is $1. You have $10 of income to spend on both goods, and you intend to spend the entire amount. Note that MU stands for marginal utility. Q of oranges MU from oranges Q of starfruit MU of starfruit 1 $20 1 $12 2 16 2 10 3 12 3 8 4 8 4 6 5 4 5 4 6 0 6 2 To maximize total utility, you would consume _____ oranges and _____ starfruit. Question 25…
Questions 1. Will's utility from vacations (91) and meals (92) is given by the function U(V, M) = 91 x 92. Last year, the price of vacations was $200 and the price of meals was $50. This year, the price of meals rose to $75, while the price of vacations remained the same. Both years, Will had an income of $1500. (a) What is the compensating variation for the price change in meals? (b) What is the equivalent variation for the price change in meals?
Q1. Jason has preferences defined over novels (good x) and DVDs (good y) described by the utility function U(x,y)= x2y2. He has income of $120; novels cost $5 each, while DVDs are priced at $15 each. a) Calculate Jason's optimal consumption bundle, AND his maximized utility level Suppose the price of novels increases to $7.5, while the price of DVDs and income are unchanged. b) In the same diagram, draw his old and new budget constraint; AND calculate his nep optimal bundle. c) Calculate the Total Effect (TE), Substitution Effect (SE) and Income Effect (E) of novels associated with the price increase of novels; AND SHOW them in your initial diagram. (Hint: keep 2 decimals if need)
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Rick consumes 2 goods, Chicken McNuggets (M) with Szechuan sauce (S). His utility function is U(M, S) = M2/3S1/3 and his income is m. The price of Chicken McNuggets is p, and the price of Szechuan sauce is 1. g. On the same graph, show the (hypothetical) budget constraint that is tangent to the indifference curve from part (e) but parallel to the budget constraint in part (f). h. On the same graph, show the income and substitution effects of the increase in p from 1 to 2 on Rick’s consumption of Chicken McNuggets. Are Chicken McNuggets a normal or inferior good for Rick? Explain your answer. i. Find the equation representing the (hypothetical) budget constraint drawn in part (g). Hint: you know this budget constraint has the same prices as in part (f), so you need to find the income level m that makes the budget constraint just tangent to the indifference curve passing through Rick’s chosen consumption bundle in part (e).
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QUESTION 4 Linguini and Colette consume only éclair (x,) and profiterole (x2). Linguini has utility function UA = x4x4 and Colette has utility function UB = 2xfx. Linguini is endowed with 10 éclair (x,) and 3 profiterole (x), while Colette is endowed with 20 éclair (x,) and 9 profiterole (x2). (a) Draw an Edgeworth box with x, on the horizontal axis and x, on the vertical axis. Position Linguini on the bottom left corner and Colette on the top right comer. Indicate the total number of units of x, and x2. Label the endowment allocation. (b) Derive the equation of the contract curve, ie., find x(x). In your graph in (a), draw the contract curve.
Suppose Al is currently consuming five movies and two concerts per month. If his utility function is given by U = 15MC, where Mrepresents the number of movies seen and C represents the number of concerts attended, Al's total utility is equal to: 75 15 150 10 30
Q5. Jason has preferences defined over novels (good x) and DVDs (good y) described by the utility function U(x,y)= x2y2. He has an income of $120; novels cost $5 each, while DVDs are priced at $15 each. [Hint: MUx=2xy2, MUy=2x2y] a) Sketch Jason's budget constraint, indifference curves and the interior solution in a graph. b) Calculate Jason's optimal consumption bundle, and his maximized utility level. Suppose the price of novels increases to $7.5, while the price of DVDs and income are unchanged. c) Calculate his new optimal bundle, show it in the same graph from a), and interpret the Marginal Rate of Substitution (MRS) at this new optional bundle (point).

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