2. Consider a utility function that represents preferences: u(x,y)= min{80x,40y} Find the optimal values of x...
4) A consumer’s utility function is u(x, y) = min{x, 3y} (a) Find the consumer’s optimal choice for x, y as functions of income I and prices px,py. (b) Sketch the demand curve for y as a function of other price px when py = 10, I = 100. Suggestion: a picture showing the budget set, optimal choice and indifference curve. (I need help with the sketching which is the second part)
2) A consumer’s utility function is u(x,y)=-1/3x^3 - 1/y (a) Find the consumer’s optimal choice for x as a function of income I and prices px,py.
Consider preferences over x and y given U(x,y) = min(x,2y) and suppose that income is 60. Let the initial prices be px=1 and py=2. 1. What is the initial optimal consumption? 2. Suppose px increases to px=2. Find the total change in the consumption of x and y. 3. Decompose the total effect into its substitution effect and its income effect. Please do each step of every question for a complete understanding of the reasoning behind the steps.
In Problems 5 - 7, you are given the utility function u(x, y), income I and two sets of prices: initial prices px,py and final prices p,%-For each problem, you are to find: (a) the optimal choice at the initial prices (b) the optimal choice at the final prices (c) the change- optimal choice at final prices - optimal choice at initial prices (d) the income effect and the substitution effect 5) u(x, y)-min(x, 3y), 1-14, p.-1, p,-2. p,-2, p,-2
2) A consumer's utility function is a(x,y) = (a) Find the consumer's optimal choice for x as a function of income I and prices px,Py' (b) Sketch the demand curve for x as a function of its own price Pz when py = 10, 1 = 100. (It may be easiest to plot a few points.)
Question 7 In Problems 5 - 7, you are given the utility function u(x, y), income I and two sets of prices: initial prices px,py and final prices p,%-For each problem, you are to find: (a) the optimal choice at the initial prices (b) the optimal choice at the final prices (c) the change- optimal choice at final prices - optimal choice at initial prices (d) the income effect and the substitution effect 5) u(x, y)-min(x, 3y), 1-14, p.-1, p,-2....
Question 6 6 In Problems 5 - 7, you are given the utility function u(x, y), income I and two sets of prices: initial prices px,py and final prices p,%-For each problem, you are to find: (a) the optimal choice at the initial prices (b) the optimal choice at the final prices (c) the change- optimal choice at final prices - optimal choice at initial prices (d) the income effect and the substitution effect 5) u(x, y)-min(x, 3y), 1-14, p.-1,...
3) A consumer's utility function is u(x,y)22 (a) Find the consumer's optimal choice for x, y as functions of income I and (b) Sketch the demand curves for x, y as functions of income I when prices prices pa,Py. (Be careful!) are p 16,Py 2. (Be careful!)
3) A consumer's utility function is 2y (a) Find the consumer's optimal choice for x, y as functions of income I and prices px,py. (Be careful!) (b) Sketch the demand curves for x, y as functions of income I when prices are px = 16, p,-2. (Be careful!)
2. (24 points) Suppose a consumer has preferences represented by the utility function U(X,Y)- X2Y Suppose Py, and the consumer has $300 to spend. Draw the Price-Consumption Curve for this consumer for income values Px-1, Px 2, and Px- 5. Your graph should accurately draw the budget constraints for each income level and specifically label the bundles that the consumer chooses for each income level. Also, for each bundle that the consumer chooses, draw the indifference curve that goes through...