Utility function is given as ? = log(?) + 2? (a) What is MRSxy? (b) Can you derive demand curve for product x and y, respectively? (c) Derive indirect utility function. Price is given as ?x = 2, ?y = 1, and budget is ?= 20. (d) How much of x and y would the consumer choose? (e) What is the maximum utility in this situation?
Utility function is given as ? = log(?) + 2? (a) What is MRSxy? (b) Can...
Consider a consumer whose utility function is given by U(x, y) = x^1/4y^1/2, where x and y represent quantities of consumption of two consumer goods. (a) Derive and interpret the consumer’s Marshallian demand functions for x and y. (b) Derive and interpret the consumer’s Indirect Utility Function. (c) If the consumer’s income is $1000 and the prices of x and y are both $5, how should the consumer maximize her utility? What is her maximum level of utility? (d) Suppose...
1.Suppose a consumer had a utility function given by: U= 9X + 2Y. If the price of Good X (Px) is $8 and the price of Good Y is $4then what is the utility maximizing quantity of Good X the consumer will purchase with a budget of $32? 2. Suppose an individual had a utility function given by: U=X^4Y^0.6 Calculate this individual's Marginal Rate of Substitution (MRSxy) when they have a bundle with 3 units of Good X and 1.8...
$4 then what is the Suppose a consumer had a utility function given by U-9x 2Y. If the price of Good X (Px) is $8 and the price of Good Y is utility maximizing quantity of Good X the consumer will purchase with a budget of $32? (Round to the nearest two decimal places if necessary) Answer 2 Suppose a consumer had a utility function given by Uxasy02. If the price of Good X (Px) is $10 and the price...
(Use this information to answer a, b, c below) Suppose Mary’s utility function for two goods X and Y is given by: U(X,Y) = 3X1/2Y1/2 . Suppose consumption bundle A consists of 10 units of X and 30 units of Y, and consumption bundle B consists of 40 units of X and 20 units of Y. a. Consumption bundle A lies on a higher/lower/same indifference curve than consumption bundle B. Show computations. b. Compute Mary’s MRSxy at consumption bundle A....
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,...
2. Janice consumes two goods, X and Y. Janice has a utility function given by the expression: U = 4x0.5y 0.5 The current prices of X and Y are $25 and $50, respectively. Janice currently has an income of $750 per time period (Put X on the horizontal axis and Y on the vertical axis). a) Is the assumption that "more is better” satisfied for both goods? b) Calculate MRSxy. Determine if it is diminishing for this utility function. c)...
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...
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,...