Suppose U(X,Y)=X^(2/3)*Y^(1/3), Px=3, Py=5. Find the Engel curves for goods X and Y and determine whether they are normal or inferior.
Suppose U(X,Y)=X^(2/3)*Y^(1/3), Px=3, Py=5. Find the Engel curves for goods X and Y and determine whether...
A) Suppose U = min[X, 3Y] and I=12, Px=1 and Py=5. Find X* and Y*. B) Draw an indifference curve and a normal linear budget constraint such that there is a tangency point (where MRS= price ratio) that is not the optimal bundle. C) Suppose U=X∙Y5. Find X* and Y*. D) Suppose U = 5∙X + 2∙Y and I=12, Px=2 and Py=1. Find X* and Y*.
A) Suppose U = min[X, 3Y] and I=12, Px=1 and Py=5. Find X* and Y*. B) Draw an indifference curve and a normal linear budget constraint such that there is a tangency point (where MRS= price ratio) that is not the optimal bundle. C) Suppose U=X∙Y5. Find X* and Y*. D) Suppose U = 5∙X + 2∙Y and I=12, Px=2 and Py=1. Find X* and Y*.
The demand for good X is given by QXd = 6,000 - (1/2)PX - PY + 9PZ + (1/10)M Research shows that the prices of related goods are given by Py = $6,500 and Pz = $100, while the average income of individuals consuming this product is M = $70,000. a. Indicate whether goods Y and Z are substitutes or complements for good X b. Is X an inferior or a normal good? c. How many units of good X...
The demand for good X is given by QXd = 6,000 - (1/2)PX - PY + 9PZ + (1/10)M Research shows that the prices of related goods are given by Py = $6,500 and Pz = $100, while the average income of individuals consuming this product is M = $70,000. a. Indicate whether goods Y and Z are substitutes or complements for good X. Good Y is: (Click to select) a substitute neither complement nor substitute a complement . Good Z is: (Click to select) a complement a...
Suppose Qxd = 10,000 - 2 Px + 3 Py - 4.5M, where Px = $100, Py = $50, and M = $2,000. (Note that Qdx is the quantity demanded of Good X, Px is the price of Good X, Py is the price of another product called Good Y, and M stands for income available.) Use this information to answer the following three parts of question 6. a. For this demand equation, what is the P intercept? b. For...
A) Suppose U = ln(x)+y and Px=2, and Py=4. Write down the expenditure minimizing lagrangian for this problem. (you don’t need to solve it) B) You have $8 which you can spend on X or Y. The price of Y is always $1 but the price of X is $1 for the first 2 and $2 after that. Draw the budget constraint (make sure to label the graph with all of the relevant information). C) Suppose U = min[2X, 3Y]...
1. Suppose a consumer has the utility function over goods x and y u(x,y) = 3x{y} (a) Setup the utility maximization problem for this consumer using the general budget con- straint. (2 points) (b) Will the constraint be active/binding? Is the sufficient condition for interior solution satisfied? Prove your answers. (4 points) (c) Solve the utility maximization problem for the Marshallian demand equations x* (Px. Py,m) and y* (Px.p.m). Show all of your work and circle your final answers. (7...
1. Suppose a consumer has the utility function over goods x and y u(x, y) = 3x}}} (a) Setup the utility maximization problem for this consumer using the general budget con- straint. (2 points) (b) Will the constraint be active/binding? Is the sufficient condition for interior solution satisfied? Prove your answers. (4 points) (c) Solve the utility maximization problem for the Marshallian demand equations x (Px, py,m) and y* (Px, Py,m). Show all of your work and circle your final...
U(X,Y) = ln(X) + ln(Y) I = 50, Px = 5, Py = 10 Find MRSX,Y Find demand functions for X and Y Find the optimal bundle for the following values of the exogenous variables
1. Suppose a consumer has the utility function over goods x and y u(x,y) = 3x3 yž (a) Setup the utility maximization problem for this consumer using the general budget con- straint. (2 points) (b) Will the constraint be active/binding? Is the sufficient condition for interior solution satisfied? Prove your answers. (4 points) (c) Solve the utility maximization problem for the Marshallian demand equations x* (Px, Py,m) and y* (Px, Py,m). Show all of your work and circle your final...