Question 4: Consider a general utility function U(xi, x2). Let's now solve for the optimal bundle...
Lorelai's choice behavior can be represented by the utility function 11(xi, X2) = 0.91n(xi) + 0.1x2 The prices of both x and x2 are $5 and she has an income of $40. 1. What preference does this utility function represent? (Hint: the utility is function is not linear, but at least linear in good x2.) 2. Drawinwg indifference curves: you can copy down the graph on your paper using econgraphs. Set the preferences and parameters accordingly as given in the...
Question 8: Consider a utility function u(xi , X2)- + X2. 1. What is the optimal bundle with p P,and income m? 2. (optional) Would the corner solution where all income is spent on single good be possible?
Question 6: Logan has preferences over olives (x1) and ice creams (x2). He prefers to eat them separately but not together, which is represented by: U(X1, X2) = x + xỉ. Also suppose his income is $100 and the prices of olives and ice creames are px, = $1 and Px2 = $2, respectively. 1. Is this convex preferences or concave preferences? 2. Solve for the bundle that satisfis the tangency condition. 3. What's the level of utility using the...
Lorelai's choice behavior can be represented by the utility function u(x1, 2) 0.9n(x)0.1x2. The prices of both xi and x2 are $5 and she has an income of $40. 1. What preference does this utility function represent? (Hint: the utility is function is not linear, but at least linear in good x2) 2. Drawinwg indifference curves: you can copy down the graph on your paper using econgraphs. Set the preferences and parameters accordingly as given in the question. Click on...
Question 5: Jess has the utility function U(xi,2)min2x,32. The price of x is pxi,the price of x2 is p and his income is 1. Find Jess's optimal bundle xf and x as a function of pxi Px,and m. 2. What's the proportion of consumption amounts between x and x? In other words, find 3. Suppose instead the utility function is U(xi , X2) min{x , x2 }, without solving for the optimal bundles, what's the proportion of consumption amounts betwee...
Question 2: Lorelai's choice behavior can be represented by the utility function u(x1, 2)0.9Inx)0.1x2 The prices of both x1 and x2 are $5 and she has an income of $40. 1. What preference does this utility function represent? (Hint: the utility is function is not linear, 2. Drawinwg indifference curves: you can copy down the graph on your paper using econgraphs. Set but at least linear in good x2) the preferences and parameters accordingly as given in the question. Click...
Given: U(xi,x):x7x1 a) Write the Lagrangian given that you want to maximize utility subject to the budget b) Write the first order conditions for this problem constraint. c) What are the optimal amounts of x, and x2 to consume?
4. Suppose the utility function is given by U(z1,x2) - (x^"2)*. Calculate the optimal consumption bundle 2.5 4 if Ann's income equals 10 and both goods have a price of 1.
Question 6: Logan has preferences over olives ) and ice creams (x2). He prefers to eat them separately but not together, which is represented by: Also suppose his income is $100 and the prices of olives and ice creames arepx$1 and Pr2 $2,respectively. 1. Is this convex preferences or concave preferences? 2. Solve for the bundle that satisfis the tangency condition. 3. What's the level of utility using the bundle you just solved in Q6.2? 4. Consider spending all of...
The consumer has the utility function U(x1 , x2) = (x1-2)4 (x2-3)3, subject to her budget constraint 10 = 4x1 + 3x2. Write the utility maximization of this consumer using the Lagrangian method and find the optimal value of x1 and x2.