HW1.1 #8. Peter also likes coffee (x) with sugar (y), but his utility function is U(x, y) = 5x + 4y. Peter has purchased 4 ounces of coffee and 5 grams of sugar.
Recall Peter of problem #8 of homework 1.1. His utility function is u(x, y) = 5x + 2y where x is the number of ounces of coffee and y is the quantity of sugar in grams. Let unit prices be given by Px = 6 cents, Py = 2 cents, and assume that Peter has $9 to spend on coffee and sugar. Find Peter’s best choice, in terms of quantities of coffee and sugar. Illustrate it graphically.
HW1.1 #8. Peter also likes coffee (x) with sugar (y), but his utility function is U(x,...
The utility function is given by U(x, y) = xy2 . (a) Write out the demand functions for goods x and y in terms of I, px, and py. (b) What is the maximum utility the consumer can achieve as a function of I, px, and py? (c) What is the minimum the consumer needs to spend to achieve a level of utility U as a function of px, and py? (d) The initial income is $576, initial prices are...
Suppose a consumer’s utility function is given by U(X,Y) = X*Y. Also, the consumer has $180 to spend, and the price of X, PX = 4.50, and the price of Y, PY = 2 a. How much X and Y should the consumer purchase in order to maximize her utility? b. How much total utility does the consumer receive? c. Now suppose PX decreases to 2. What is the new bundle of X and Y that the consumer will demand?...
The utility function is given by U(x, y) = xy2 . (a) Write out the demand functions for goods x and y in terms of I, px, and py. (2) (b) What is the maximum utility the consumer can achieve as a function of I, px, and py? (2) c) What is the minimum the consumer needs to spend to achieve a level of utility U as a function of px, and py? (2) (d) The initial income is $576,...
Price Changes (16 points) The utility function is given by U(x, y) = xy2 . (a) Write out the demand functions for goods x and y in terms of I, px, and py. (2) (b) What is the maximum utility the consumer can achieve as a function of I, px, and py? (2) (c) What is the minimum the consumer needs to spend to achieve a level of utility U as a function of px, and py? (2) (d) The...
The utility function is given by U(x, y) = xy2 . (a) Write out the demand functions for goods x and y in terms of I, px, and py. (2) (b) What is the maximum utility the consumer can achieve as a function of I, px, and py? (2) (c) What is the minimum the consumer needs to spend to achieve a level of utility U as a function of px, and py? (2) (d) The initial income is $576,...
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?
A consumer buys two goods, good X and a composite good Y. The utility function is given as U(X, Y) = 2X1/2+Y. The demand function for good X is X = (Py/Px)2. (Edit: The price of X is Px, the price of Y is Py.) Suppose that initially Px=$0.5 and then it falls and becomes Px=$0.2 Calculate the substitution effect, income effect, and the price effect and show the answer graphically.
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?
3. If the utility is given by U(X,Y)= X +4Y and px = 1, the indirect utility is given by PY I (a) 4py I (b) py 41 (c) рү 21 (d) py
2. Consider the following four consumers (C1,C2,C3,C4) with the following utility functions: Consumer Utility Function C1 u(x,y) = 2x+2y C2 u(x,y) = x^3/4y^1/4 C3 u(x,y) = min(x,y) C4 u(x,y) = min(4x,3y) On the appropriate graph, draw each consumer’s indifference curves through the following points: (2,2), (4,4), (6,6) and (8,8), AND label the utility level of each curve. Hint: Each grid should have 4 curves on it representing the same preferences but with different utility levels. 3. In the following parts,...