the consumers utility maximizing choice is where the ratio of the marginal utilities of two goods are equal to each other (Mux/Px = Muy/Py). What does this condition mean and why is it the utility maximizing choice? explain.
the consumers utility maximizing choice is where the ratio of the marginal utilities of two goods...
Suppose there are two consumers, A and B, and two goods, X, and Y. Consumer A's utility function is given by: Ua(X,Y) = X*Y^3 Consumer B's utility function is given by: Ub (X,Y) = X*Y Marginal Utilities for A: MUx =Y^3 , MUy = 3X*Y^2 Marginal Utilities for B: MUx = Y, MUy = X Initial endowments: Person A has 40 units of good X and 20 units of good Y Person B has 30 units of good x and...
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...
Assume that the price of X (PX) is $15 and Mr. Zigolo’s marginal utility from consumption of X (MUX) is 60; and the price of Y (PY) is $3 and the marginal utility from consumption of Y (MUY) is 60. Is Mr. Zigolo maximizing utility? If not, what should he do to maximize his utility
Q: Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = XY3 UB(X,Y) = X*Y Therefore: For consumer A: MUX = Y3; MUY = 3XY2 For consumer B: MUX = Y; MUY = X The initial endowments are: A: X = 16; Y = 28 B: X = 54; Y = 12 a) Suppose the price of Y, PY = 1. Calculate the price of X, PX that will lead to...
Please solve with steps!
Section 11 General Equilibrium Continued 1. Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A's utility function is given by: UA(X,Y)= X*Y', And consumer B's utility function is given by U (X,Y)= X*Y. Therefore, consumer A's marginal utilities for each good are given by: MUX = Y MUY = 3X*Y2 Also, consumer B's marginal utilities for each good are given by: MUX = Y MUY = X Initial Endowments...
(Use this information to answer a, b, c below) Suppose Mary’s utility function for two goods X and Y is given by: U(X,Y) = 3X1/2Y1/2 . Suppose consumption bundle A consists of 10 units of X and 30 units of Y, and consumption bundle B consists of 40 units of X and 20 units of Y. a. Consumption bundle A lies on a higher/lower/same indifference curve than consumption bundle B. Show computations. b. Compute Mary’s MRSxy at consumption bundle A....
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. Are strawberries a normal good or an inferior good for Jim? Explain your answer.
2. Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A is given an initial endowment of 2 units of good X and 3 units of good Y. Consumer B is given an initial endowment of 6 units of good X and 5 units of good Y. Consumer A’s utility function is given by: UA(X,Y) = X1/2*Y1/2, And consumer B’s utility function is given by UB(X,Y) = X1/4*Y3/4. Therefore, consumer A’s marginal utilities for...
need help w this extra practice problem
Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y)= X Y UR(X,Y)= X*Y2 Therefore: • For consumer A: MUX = Y; MUY = X • For consumer B: MUX = Y; MUY = 2XY The initial endowments are: A:X = 200; Y = 46 B:X = 40; Y = 26 a) (20 points) Suppose the price of Y, Py = 1. Calculate the price...
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?