5. If utility is given by U(X,Y) = XBY1-B, the price elasticity and income elasticity of...
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...
1. When a consumer has a Cobb-Douglas utility function given by u(x, y) = xa yb , their demand for good x is given by x∗ = m/Px (a/a+b) where m is income and Px is the price of good x. Using this demand function, find the formula for this consumer’s price elasticity of demand. Interpret it in words.
1. Ms. Rada has a utility function u(x,y) = xy and an income of $250. Suppose the price of good y is $4 a unit. Find the consumer’s demand function for good x. (a.) x* = 125/(4Px) (b.) x* = 125/Px (c.) x* = 250/Px (d.) x* = 250/(0.5Px) 2. A consumer has a demand curve of X = 550 – 2.5Px– 10M, where Pxis the price of good X, and M is income. In this case, good X is...
A consumer's utility is given by U (,y) = ry. Income is m and prices are given by pa and Py. (aFind the demand functions for x and y. (b) What is demand for each good if px = 2 and pu= 1 and income is m = 30? (c) If price of x fell to pc = 1, what is the consumer's new bundle? (d) How much of the response in the consumption of x is due to the...
Given a utility function U(x,y) = xy. The price of x is Px, while the price of y is Py. The income is I. Suppose at period 0, Px = Py = $1 and income = $8. At period 1, price of x (Px) is changed to $4. Compute the price effect, substitution effect, and income effect for good x from the price change.
Suppose your utility function is U (x, y) = 2 ln(2) + 4y c) Given PX - 1. Py = 2, and M =5. Find the elasticity of demand (own-price elasticity) for good x -- is good x ordinary or Giffen? Edit View Insert Format Tools Table 12pt Paragraph B I VART :
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...
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,...
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,...
Suppose a consumer had a utility function given by: U=X^4*Y. If the price of Good X (Px) is $6 and the price of Good Y is $2.40 then what is the utility maximizing quantity of Good X the consumer will purchase with a budget of $7.50? (Round to the nearest decimal place if necessary.)