and the Price of x is $5 and Price of y is $10 and the income of peter is $200 so the budget constraint would be:
so x and y are compliment goods here thus peter would solve for 2x=y and will consume this quantity :
Question 9 Peter has a utility function U(x, y) = min {2x, y}. The price of...
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?
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?
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?
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 x would she consume if she chose the bundle that maximizes her utility subject to her budget constraint?
Please show work:
3. Ollie has a utility function u(x, y) = (x + 2)(y + 3). The price of x is $1, and the price of y is $1. When he maximizes his utility subject to his budget constraint, he consumes positive amounts of both goods. In what proportion does Ollie consume goods x and y?
Imagine you consume two goods, X and Y, and your utility function is U = XY. Your budget is $100, the price of Good X is $4, and the price of Good Y is $25. So, the optimal bundle for you to consume is (12.5, 2). Now the price of good X increases to $10. The compensated price bundle is (7.91, 3.16). What is the income effect on X?
Consider the following utility function of 3 goods, x, y and z: U(x,y,z)=ax+by+cz; x,y,z≥0 and a, b, c are constants. The prices of good x and y is denoted by pX and pY respectively. The income is denoted by m. Good z is provided by the government free of cost but the quantity of good z provided by the government depends on the consumption of good x and y chosen by the consumer. For example, if in equilibrium, the consumer...
Question (5): A consumer who has a utility function modeled as U(x,y) = min (5x, 10y) is faced with the prices of $2 and $6 per unit of x and y respectively. The consumer will spend his/her entire disposable income of $30. How many units of x and y will the consumer consume that will provide the maximum utility?! (a) 6 units of x and 3 units of y. (b) 3 units of x and 6 units of y. (c)...
A consumer has the utility function U(X, Y) = (X + 2)(Y + 4). Her income is $100, the price of X is $4, and the price of Y is $5. In order to maximize utility subject to her budget constraint, how many units of X and Y will our consumer choose to purchase? Sketch a budget line – indifference curve diagram illustrating this optimum. Label this optimum A. Suppose the price of X increases to $8, while income and the price...