Jeff is deciding his optimal consumption bundle, where there are two possible goods he could purchase. He can consume good x and good y, both of which are priced at $1. His utility function can be given by U(x,y) = 2x^2 (y^2)
a.) Find his optimal consumption bundle if he has $100 to spend
b.) What is his optimized utility?
c.) Suppose his income doubles to $200. What are the income and substitution effects, in terms of the good x?
d.) Suppose the price of good x were to double instead. What would be the income and substitution effects in terms of good x?
Jeff is deciding his optimal consumption bundle, where there are two possible goods he could purchase....
Joel has an income of $96, which he can spend on two (normal) goods: movies and pizzas. Each movie costs $12 and each pizza costs $8. (a) Joel is considering buying bundle A, which is 3 movies and 5 pizzas. At that bundle, his marginal rate of substitution is 3 pizzas for 2 movies. Is the proposed bundle Joel’s optimal consumption bundle? If not, explain whether and why Joel buy more or fewer of each good to increase his utility....
2. Consider the Cobb-Douglas utility function u(x,y) = x2y2. Let the budget 1, where pr, py are the prices and I denotes the constraint be prx + pyy income. (a) Write the Lagrangian for this utility maximization problem. (b) Solve the first-order conditions to find the demand functions for both good a and good y. [Hint: Your results should only depend on the pa- rameters pa, Py, I.] (c) In the optimal consumption bundle, how much money is spend on...
At the consumer's optimal consumption bundle, the MRSxy is 4, and the marginal utility of good X is 8. What is the marginal utility of good Y? Select one: a. 24 b. 1/2 c. 16 d. 2
) Bob is deciding how much labour he should supply. He gets utility from consumption of beer (given by C) and from leisure time (given by L), which he spends hanging out with his friend Doug. This utility is given by the following utility function: U(C, L) = ln(C) + θ ln(L) where the value of θ was determined by your student number and ln(C) denotes the natural logarithm of consumption etc. Given this utility function, Bob’s marginal utility from...
Bob is deciding how much labour he should supply. He gets utility from consumption of beer (given by C) and from leisure time (given by L), which he spends hanging out with his friend Doug. This utility is given by the following utility function: U(C, L) = ln(C) + 10 ln(L). Given this utility function, Bob’s marginal utility from consumption is given by: MUC = ∂U ∂C = 1 C and his marginal utility from leisure is given by: MUL...
4. Andy's utility is represented by the function U(X,Y) - XY. His marginal utility of X is MUx = Y. His marginal utility of Y is MUY = . He has income $12. When the prices are Px - 1 and Py -1, Andy's optimal consumption bundle is X* -6 and Y' = 6. When the prices are Px = 1 and P, = 4, Andy's optimal consumption bundle is X** = 6 and Y* 1.5. Suppose the price of...
1. Consider Dexter's intertempral choice (c1,2), where c is his consumption measured in $ for t 1,2. He has income of m 1000 and m2 1500 over those periods. His utility function is given by u(ci, c2-In(c) + δ ln(c2), where δ-0.9. (a) If he can borrow or save at the interest rate of 10% (r 0.1), then what is his optimal consumption bundle (ci,2)? b) If he would like to consume the same amount in each period, what should...
Bob is deciding how much labour he should supply. He gets utility from consumption of beer (given by C) and from leisure time (given by L), which he spends hanging out with his friend Doug. This utility is given by the following utility function: U(C, L) = ln(C) + θ ln(L) where the value of θ was determined by your student number and ln(C) denotes the natural logarithm of consumption etc. Given this utility function, Bob’s marginal utility from consumption...
QUESTION 5 Reshad's preferences over goods 1 and 2 are given by the following utility function: Uq1. 42) Reshad's income is $60 and the prices are given by p1-3 and p2-2. Select all that applies: 1+q1 42 41 a. Marginal rate of substitution for his preferences is given by MRS12 When he consumes zero amount of good 1, his MRS is equal to 1. c. It is optimal for him to consume 20 units of good 1. @dㆎt is optimal...
(40 marks) Bob is deciding how much labour he should supply. He gets utility from consumption of beer (given by C) and from leisure time (given by L), which he spends hanging out with his friend Doug. This utility is given by the following utility function: U(C, L) = ln(C) + θ ln(L) where the value of θ was determined by your student number and ln(C) denotes the natural logarithm of consumption etc. Given this utility function, Bob’s marginal utility...