David has the following utility function that represents his preferences over CD's (x) and Venue Tickets (y).
u(x,y) = x +sqrt y
marginal utilities: MUx =1, Muy = (1/2) (1/y)^1/2
budget W and prices of the CD's and Tickets PxPy
-Find the Demands for CD's and Venue Tickets
David has the following utility function that represents his preferences over CD's (x) and Venue Tickets...
John has the following utility function that represents his preferences over food (x) and housing (y) (his only two expenses) and marginal utilities: มุ4 for a level of wealth W and prices of food and housing P y respectively. Using the results from the previous homework answer the following questions Write down the Engel Curve for both goods and graph them 2) Assume W-10 and the price of food changes from 1 to 3 while the price of housing remains...
Suppose a consumer’s preferences are represented by the utility function U(X,Y) = X2*Y. Therefore, MUx = 2XY • MUy = X2 Also, suppose the consumer has $32 to spend (M = $32), PY = 1, and that they spend all of their money on goods X and Y. Also, assume the consumer maximizes their utility subject to their budget constraint. Complete the following table: Px Quantity Demanded of X $1 $2 $3
Suppose a consumer spend all of her income on only two goods, x and y. Her preferences over these two goods are represented by the utility function u(x,y)=2x1/2+3y. Find the mrsxy. Is it diminishing or not? (In the solution of this problem our teachers prefers to solve this via MUx/ MUy this ratio. But in other schools they prefer to solve this MUx/ MUy . Which one is true ? Why they use minus sign ?
2. Consider a utility function that represents preferences: u(x,y)= min{80x,40y} Find the optimal values of x and y as a function of the prices px and py with an income level m. (5)
Marta consumes only goods X and Y and faces the following utility function: U=7 X+4 Y. The marginal utility for X is MUX=7 and the marginal utility for Y is MUY=4 . The price of X is $10 and the price of Y is $50. Marta has an initial budget of $200. How many of X and Y will Marta buy given her utility function, her budget, and the prices? X= Y= Suppose that the government places a restriction on X...
1. (25) Consider the following utility function which specifies Eli’s preferences over two goods, Xy- lophones (X) and Yo-Yos (Y ). (Please note that we call this type of utility function quasi-linear.) √ U(X,Y)=10 X+20Y (a) (5) What is the marginal utility of X? Label your answer MUX and draw a box around your answer. What is the marginal utility of Y? Label your answer MUY and draw a box around your answer. What is the marginal rate of substitution...
ECN 312 help! A-D
1. (25) Consider the following utility function which specifies Eli's preferences over two goods, Xy- lophones (X) and Yo-Yos (Y). (Please note that we call this type of utility function quasi-linear.) U(X, Y) = 10VX + 20% (a) (5) What is the marginal utility of X? Label your answer MUx and draw a box around your answer. What is the marginal utility of Y? Label your answer MUy and draw a box around your answer. What...
Suppose that a consumer’s utility function is U(x,y)=xy+10y. the marginal utilities for this utility function are MUx=y and MUy=x+10. The price of x is Px and the price of y is Py, with both prices positive. The consumer has income I. (this problem shows that an optimal consumption choice need not be interior, and may be at a corner point.) Assume first that we are at an interior optimum. Show that the demand schedule for x can be written as...
Donna and Jim are two consumers purchasing strawberries and chocolate. Jim’s utility function is U(x,y) = xy and Donna’s utility function is U(x,y) = x2y where x is strawberries and y is chocolate. Jim’s marginal utility functions are MUX=y and MUy=x while Donna’s are MUX=2xy and MUy=x2. Jim’s income is $100, and Donna’s income is $150. What is the optimal bundle for Donna if the price of strawberries is $2 and the price of chocolate is $4?
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...