Problem . Apu receives utility from consuming X and Y. The price of good X is...
Suppose the consumer's utility from consuming goods X and Y is U = X0.4 y1 -0.4, and her budget constraint is 1X + 3y = 16. If she optimally chooses her bundle, how much of good X does she consume?
Peter has a utility function U(x, y) = min {2x, y}. The price of good x is $5, and the price of good y is $10. If Peter's income is $200, how many units of good x would he consume if he chose the bundle that maximizes his utility subject to his budget constraint?
Peter has a utility function U(x, y) = min {2x, y}. The price of good x is $5, and the price of good y is $10. If Peter's income is $200, how many units of good y would he consume if he chose the bundle that maximizes his utility subject to his budget constraint?
Doreen has a utility function U(x, y) = 10x + 5y. The price of good x is $1, and the price of good y is $2. If Doreen's income is $100, how many units of good y would she consume if she chose the bundle that maximizes her utility subject to her budget constraint?
4- Bart's utility of consuming firecrackers (X) and everything else (Y) can be shown as U(X,Y) = 2 X +Y His marginal rate of substitution can be shown as? MRS = 1/ JE Y is a composite good of everything-but-not-firecracker that Bart buys with $1. His daily income is $20, and the price of firecracker is 50 cents. a. *How many firecrackers will he buy? Use an X-Y graph and sketch the budget constraint and the indifference curve passing through...
2) Suppose that the price of good X is $2 and the price of good Y is $3. You have $90 to spend and your preferences over X and Y are defined as: U(x,y) = x2/3y1/3 Keep in mind that we review this concept because consumer choice is based on their preferences. People demand items that fulfill their Utility (perhaps happiness). As a result, we need to visualize how an individual’s budget is allocated to create the highest level...
U(x, y) = x^2 + y. The price of good x is $10, and the price of good y is $1. If Ambrose’s income is $200, how many units of good x would he consume if he chose the bundle that maximizes his utility subject to his budget constraint?
Question 9 Peter has a utility function U(x, y) = min {2x, y}. The price of good x is $5, and the priče of good y is $10. If Peter's income is $200, how many units of good x would he consume if he chose the bundle that maximizes his utility subject to his budget constraint?
1. (24 total points) Suppose a consumer’s utility function is given by U(X,Y) = X1/2*Y1/2. Also, the consumer has $72 to spend, and the price of Good X, PX = $4. Let Good Y be a composite good whose price is PY = $1. So on the Y-axis, we are graphing the amount of money that the consumer has available to spend on all other goods for any given value of X. a) (2 points) How much X and Y...
M 4. Consider the utility maximization problem max U(x,y) = x +y s.t. x + 4y = 100. (a) Using the Lagrange method, find the quantities demanded of the two goods. (b) Suppose income increases from 100 to 101. What is the exact increase in the optimal value of U(x, y)? Compare with the value found in (a) for the Lagrange multiplier. (C) Suppose we change the budget constraint to px + y = m, but keep the same utility...