
5. Sophia's preferenc es can be expressed by the following utility function: where F is the...
Jennifer buys two goods, food (F) and clothing (C), with the
utility function U(F,C) = FC. Assume initially that she has an
income of $72, the price of clothing is PC = $1 per unit, and the
price of food is initially PF1 = $9 per unit and that the price
subsequently falls to PF2 = $4 per unit. Use this information and
the accompanying graph to answer the following questions.
(a) Find the equation for budget line (BL1) when...
1. Rachel has a labor-leisure utility function given by U(L, C) = 4L(C + 24) where the marginal utility of consumption is 4L and the marginal utility of leisure is 4C + 96. After taxes, she makes $12 per hour and has 16 hours a day to work or consume leisure. (a) What is her budget constraint? Graph it. Show on the graph where her optimal bundle would be (Hint: You don’t need to solve anything. Just be general). (b)...
18. Suppose that Maggie cares only about chai and bagels. Her utility function is U(C,B) C 0.8B 0.2, where C is the number of cups of chai she drinks in a week, and B is the number of bagels she eats in a week. The price of chai is $2, and the price of bagels is S1. Maggie has S300 to spend per week on chai and bagels. a. What is Maggie's utility-maximizing bundle of chai and bagels? Use the...
3. Ma consumes two goods: beer and beer nuts. Her utility function is Ma has a daily income of $16, which she spends on these two goods. The price of her preferred beer is $4 (micro brew) and nuts is $2 per bag. Find Ma's optimal consumption bundle. Free of charge Ma signs up to a frequent drinker club and the price of her preferred beer reduces to $2 under the scheme. Find the Income and Substitution Effects ofthe decrease...
4. Malachi only consumes 2 goods: DVD rentals and coffee. His utility function is U(R,C)=R0.4C0.6 where R is the number of DVD rentals and C is cups of coffee. Malachi has $30 in his pocket right now, and he plans to spend all of the money on rentals and coffee today. a. The price of one rental is $3 and the price of one cup of coffee is $2 per cup. Solve for the optimal bundle. b. Suppose that Malachi...
4. Malachi only consumes 2 goods: DVD rentals and coffee. His utility function is U(RC)-Rº4CO6 where R is the number of DVD rentals and C is cups of coffee. Malachi has $30 in his pocket right now, and he plans to spend all of the money on rentals and coffee today. a. The price of one rental is $3 and the price of one cup of coffee is $2 per cup. Solve for the optimal bundle. b. Suppose that Malachi...
Maria’s preference over milk-shakes and fruit-smoothies is described by the utility function u(M, F) = M^3/4 + 3F, where M is the amount of milk-shakes and F the amount of fruit-smoothies she consumes every week. The price of milk-shakes is $4, and fruit-smoothies cost $8 per unit. Which of the following is true about Maria’s weekly consumption when she spends $16 every week on shakes and smoothies? (Assume that both goods are perfectly divisible) a. Maria is consuming more fruit-smoothies...
Maria’s preference over milk-shakes and fruit-smoothies is described by the utility function u(M, F) = M^3/4 + 3F, where M is the amount of milk-shakes and F the amount of fruit-smoothies she consumes every week. The price of milk-shakes is $4, and fruit-smoothies cost $8 per unit. Which of the following is true about Maria’s weekly consumption when she spends $16 every week on shakes and smoothies? (Assume that both goods are perfectly divisible) a. Maria is consuming more fruit-smoothies...
2. Consider the following four consumers (C1,C2,C3,C4) with the following utility functions: Consumer Utility Function C1 u(x,y) = 2x+2y C2 u(x,y) = x^3/4y^1/4 C3 u(x,y) = min(x,y) C4 u(x,y) = min(4x,3y) On the appropriate graph, draw each consumer’s indifference curves through the following points: (2,2), (4,4), (6,6) and (8,8), AND label the utility level of each curve. Hint: Each grid should have 4 curves on it representing the same preferences but with different utility levels. 3. In the following parts,...
Question 1: Louis the retired Canadian lives on a fixed budget and consumes only two goods: toques (T) and maple syrup (M). Suppose Louis monthly budget is 100 and the price of the two goods are (PT,PM) (4,2). (a) Make a properly labeled diagram illustrating Louis'budget constraint with T on the hori- zontal axis and M on the vertical axis. Indicate the area corresponding to the set of bundles (M, T) that Louis can afford. (b) What is the maximum...