2. (Figure 4.3) Which of the following statements is FALSE? Baskets of tomatoes I 10- 7.85 6 4.89 4 1.76 = 0 A B C 4 1.47 3.26 5.05 D 6 8 6.53 • U₂ U₁ 10 Bags of carrots Oa. Bundle C is preferred to bundle D. Ob. Bundle A is preferred to bundle C. Oe. Indifference curve U₂ provides a higher level of utility than indifference curve U₁. Od. The consumer is indifferent between bundle A and bundle D.
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- 4 Part Question on Caesar * * PART 1 * * Caesar has preferences that are described by the utility function u = 3x 1 + 5x 2. Caesar strictly prefers the bundle (x 1, x 2) = (0, 6.6) to the bundle A. (3, 3) B. (5, 3.6) C. (0, 8.4) D. (11, 1.8) E. (8, 3.60) * * PART 2 * * What is the functional form of Caesar’s preferences, or indifference curves? A. Linear (perfect substitutes) B. Leontief (perfect complements) C. Satiation D. Concave, but not strictly concave E. Cobb-Douglas * * PART 3 * * Caesar’s preferences are A. strictly convex. B. definitely not well-behaved. C. definitely well-behaved. D. strictly concave. E. neutral. * * PART 4 * * Caesar has been consuming the bundle (x 1, x 2) = (10, 2.4). At this point, what is the marginal rate of substitution? A. – 0.25 B. –0.6 C. – 1.67 D. – 3.0 E. – 5.0.9 of 15 Laura has an income of 100 and she has to spend it to buy daisies (x₁) and daffodils (x2). Her preferences are represented by a Cobb Douglas utility function u(x1,x2)= x1x2. If daisies are twice as expensive as the daffodils, what would her optimal bundle be? O Buy only daffodils O Buy only daisies O Buy twice as many daffodils as daisies O Buy twice as many daisies as daffodils O Buy same amount of daisies and daffodils O No answer.10. Consider the utility function U(x, y) = xy + x. Which of the following bundles is noton the same indifference curves as the others. Note: The first entry is the amount of x, thesecond is the amount of y.(a) (5,1)(b) (2,4)(c) (4,2)(d) (2.5,3)
- 5. Jonas purchases only two goods, starfruit (S) and kiwi (K). He has an income of $60 and can buy starfruit at $2 per pound and kiwi at $3 per pound. His utility function is U(S,K)=3S+4K. That is, his (constant) marginal utility for starfruit is 3 and his marginal utility for kiwi is 4. What bundle of starfruit and kiwi should he purchase to maximize his utility? Why?The table shows the total utility (TU) that James receives from consuming different amounts of two goods X and Y, per month. Quantity TUx MUx MUx/Px TUy MUy MUy/Py 0 0 0 0 0 0 0 1 50 50 16.67 75 75 25.00 2 88 38 12.67 117 42 14.00 3 121 33 11.00 153 36 12.00 4 150 29 9.67 181 28 9.33 5 175 25 8.33 206 25 8.33 6 196 21 7.00 225 19 6.33 7 214 18 6.00 243 18 6.00 8 229 15 5.00 260 17 5.67 9 241 12 4.00 276 16 5.33 d.How much total utility will James experience by buying the utility-maximizing combination? e.Suppose the price of good Y increases to $6. How many units of X and Y will he buy to maximize his utility now?5) Below is John's indifference map for juice and snacks. Also shown are three budget lines resulting from different snack prices and assuming he has $20 to spend on these goods. (Hint: Be aware that we put price of product (snacks) on the Y-axis to draw demand curve.) Juice 20 15. 134 10- 5710 20 40 Snacks Which of the following points are on John's demand curve for snacks? a) p = 2, q=10 b) p=2, q=13 c) p = 2,q=5 d) p = 1, q=20
- 5. Find the optimal bundle using the following utility functions and budget constraints. 1. U(x, y) = lnx + y and 2x + y = 10 2. U(x, y) = 3x + 2y and 3x + 2y = 24 3. U(x, z) = 3x + 2z and 3x + 6z = 245. Consider a consumer that seeks to minimize his expenditure E to achieve a given 1/41/4 level of utilityŪ. Assume that E = p₁x₁ + p₂x²; Ū=x^x^; and p₁ and p₂ are given. a) Set up the Lagrangian. b) Show the first-order conditions or minimization. c) Derive the expressions for the optimal levels of x, and x₂. d) Using the second-order conditions, verify if the solution generates a minimum value for E (Use H₂ to verify).Table 10-4 Steak & Cheese Steak & Cheese Grilled Chicken Grilled Chicken Quantity MU MU/P MU MU/P 1 40 10 30 15 2 32 8 24 12 3 20 5 16 8 4 12 3 12 6 5 6 1.5 8 4 6 2 0.5 4 2 Refer to Table 10-4. For steak and cheese sandwiches and grilled chicken sandwiches, the table contains the values of the marginal utility (MU) and marginal utility per dollar (MU/P) for Mabel Jarvis. Mabel has $14 to spend on steak and cheese sandwiches and grilled chicken sandwiches. Which of the following statements is false? 15-- A) If Mabel maximizes her utility, she will buy two steak and cheese sandwiches. B) The price of steak and cheese sandwiches is $4. The price of grilled chicken sandwiches is $2. C) We do not have enough information to determine how many sandwiches Mabel will buy to maximize her utility. D) If Mabel maximizes her utility, she will buy three grilled…
- 1. * Refer to the information provided in table below. MU/P for Number of Cinema Tickets Total Utility Marginal Utility Price of a Cinema Ticket Cinema Tickets 140 240 3 330 400 440 6. 470 MU/P for Number of Concert Tickets Total Utility Marginal Utility Price of a Concert Ticket Concert Tickets 240 440 3 600 720 800 6. 850 If the price of a cinema ticket is 20 TL, the price of a concert ticket is 40 TL and the a. income is 120 TL, draw the budget line. b. Find marginal utility for each consumption level for both products and show your work in Table. Find the utility maximizing level of consumption bundle if the income of the C. consumer is 120 TL. Show the utility maximizing level of consumption for each product on the table. Explain your answer by stating the utility maximizing rule.9 True or False Explain If preference is monotonic but not strongly monotonic, indifference curves are upward sloping but may have flat portionsSuppose that Kevin is a 10 years old boy. He is at the mall with his mom, and she gives him some money to get food from the food court. At the food court there is a hamburger place, and an ice cream shop. In the following table, I will show you Kevin's Total Utility for each quantity of Hamburgers and ice cream. Quantit Total y Utility 1 2 3 4 5 Hamburgers ($2) Margin al Utility 6 7 0 20 34 44 47 47 42 32 MU/P Quantit Y BM 0 1 2 3 4 5 6 7 Ice Cream ($1) Margin al Utility Total Utility 0 29 46 53 55 56 56 52 MU/P