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4. Devon's preferences over food and a composite good are given by u(x, y) = xy...
Q02 A consumer is choosing between good 'X' and a composite good Y.' The price of...
Q02 A consumer is choosing between good 'X' and a composite good Y.' The price of 1 unit of good X is $2. The below diagram shows the consequences of a change in the price of good X.' The initial pre-change optimal bindle is the new post-change optimal consumption bundle is Ez. Use the information provided in the diagram to answer the following questions. a. Did the price of 1 unit of good 'X' increase or decrease? b. Use the...
4. An individual has preferences over two goods (x and y) that are represented by function...
4. An individual has preferences over two goods (x and y) that are represented by function U = min{x,y}. The individual has income $60, the price of x is $4 and the price of good y is $2. (a) What kind of goods are these to the individual? (i.e. what "special case” is this?) (b) What is this individual's budget constraint? (c) What is this individual's optimal bundle of x and y? [HINT: You can't take the derivative of this...
1/2 given by u (r1, ) Sophie's preferences over two goods per unit and good 2...
1/2 given by u (r1, ) Sophie's preferences over two goods per unit and good 2 costs $1 per-unit 40r 2. Good 1 costs $2 are a) Sketch Sophie's income offer curve in a clearly labelled diagram. (1 point) $250 on the two b) Find the optimal consumption bundle when Sophie is spending goods. Illustrate your answ m swer in the above diagrams. (1 point) c) Suppose that the price of good 1 increases to $4 per-unit. Under the assumption...
Sally consumes two goods, X and Y. Her preferences over consumption bundles are repre- sented by the utility function r...
Sally consumes two goods, X and Y. Her preferences over consumption bundles are repre- sented by the utility function r, y)- .5,2 where denotes the quantity of good X and y denotes the quantity of good Y. The current market price for X is px 10 while the market price for Y is Pr = $5. Sally's current income is $500. (a) Write the expression for Sally's budget constraint. (1 point) (b) Find the optimal consumption bundle that Sally will...
3. A consumer's preferences over a and y are given by the utility function u(x,y) -...
3. A consumer's preferences over a and y are given by the utility function u(x,y) - 2vr 2/y. The individual's income is I $100. The price of a unit of good c is $2, while the price of a unit of good y is S1. a) Graphically describe: i. the consumer's preferences for r and y ii. the budget constraint (b) Find the optimal x that the consumer would choose. You may assume (c) What is the consumer's MRS at...
4. Andy's utility is represented by the function U(X,Y) - XY. His marginal utility of X...
4. Andy's utility is represented by the function U(X,Y) - XY. His marginal utility of X is MUx = Y. His marginal utility of Y is MUY = . He has income $12. When the prices are Px - 1 and Py -1, Andy's optimal consumption bundle is X* -6 and Y' = 6. When the prices are Px = 1 and P, = 4, Andy's optimal consumption bundle is X** = 6 and Y* 1.5. Suppose the price of...
Suppose that a consumer’s utility function is U=xy with MUx=y and MUy=x. Suppose the consumer‘s income...
Suppose that a consumer’s utility function is U=xy with MUx=y and MUy=x. Suppose the consumer‘s income is $480. For this question you may need to use the following approximations: sqrt(2) is approximately 1.4, sqrt(3) is approx. 1.7 and sqrt(5) is approx 2.2. a) Initially, the price of y is $4 and the price of x is $6. What is the consumer’s optimal bundle? b) What is the consumer's initial utility? Now suppose that price of x increases to $8 and...
Long Question #2 Consider preferences over food and housing represented by the utility function U F2/3H1/3...
Long Question #2 Consider preferences over food and housing represented by the utility function U F2/3H1/3 A. Let Income 1200, PE 2 and PH6. Find the quantity demanded of housing and food. Graph the budget constraint and the optimal bundle that you found. Make sure to include an indifference curve. Let the price of food increase to 4. Add the new budget constraint, find the new optimal bundle and add it to your graph. B.
A consumer has preferences represented by the utility function u(x, y) -xlyi. (This means that a....
A consumer has preferences represented by the utility function u(x, y) -xlyi. (This means that a. What is the marginal rate of substitution? b. Suppose that the price of good x is 2, and the price of good y is 1. The consumer's income is 20. What is the optimal quantity of x and y the consumer will choose? c. Suppose the price of good x decreases to 1. The price of good y and the consumer's income are unchanged....
Good Y Good X The diagram above shows a budget constraint on Good X and Good...
Good Y Good X The diagram above shows a budget constraint on Good X and Good Y. Point A is the original optimal bundle. Suppose Good X is an inferior good and the price of Good Y increases, draw the new budget constraint. Would the income effect increase or decrease the consumption on Good Y? Would the substitution effect increase or decrease the consumption on Good Y? If the substitution effect is larger than the income effect, indicate the new...
Q02 A consumer is choosing between good 'X' and a composite good Y.' The price of 1 unit of good X is $2. The below diagram shows the consequences of a change in the price of good X.' The initial pre-change optimal bindle is the new post-change optimal consumption bundle is Ez. Use the information provided in the diagram to answer the following questions. a. Did the price of 1 unit of good 'X' increase or decrease? b. Use the...
4. An individual has preferences over two goods (x and y) that are represented by function U = min{x,y}. The individual has income $60, the price of x is $4 and the price of good y is $2. (a) What kind of goods are these to the individual? (i.e. what "special case” is this?) (b) What is this individual's budget constraint? (c) What is this individual's optimal bundle of x and y? [HINT: You can't take the derivative of this...
1/2 given by u (r1, ) Sophie's preferences over two goods per unit and good 2 costs $1 per-unit 40r 2. Good 1 costs $2 are a) Sketch Sophie's income offer curve in a clearly labelled diagram. (1 point) $250 on the two b) Find the optimal consumption bundle when Sophie is spending goods. Illustrate your answ m swer in the above diagrams. (1 point) c) Suppose that the price of good 1 increases to $4 per-unit. Under the assumption...
Sally consumes two goods, X and Y. Her preferences over consumption bundles are repre- sented by the utility function r, y)- .5,2 where denotes the quantity of good X and y denotes the quantity of good Y. The current market price for X is px 10 while the market price for Y is Pr = $5. Sally's current income is $500. (a) Write the expression for Sally's budget constraint. (1 point) (b) Find the optimal consumption bundle that Sally will...
3. A consumer's preferences over a and y are given by the utility function u(x,y) - 2vr 2/y. The individual's income is I $100. The price of a unit of good c is $2, while the price of a unit of good y is S1. a) Graphically describe: i. the consumer's preferences for r and y ii. the budget constraint (b) Find the optimal x that the consumer would choose. You may assume (c) What is the consumer's MRS at...
4. Andy's utility is represented by the function U(X,Y) - XY. His marginal utility of X is MUx = Y. His marginal utility of Y is MUY = . He has income $12. When the prices are Px - 1 and Py -1, Andy's optimal consumption bundle is X* -6 and Y' = 6. When the prices are Px = 1 and P, = 4, Andy's optimal consumption bundle is X** = 6 and Y* 1.5. Suppose the price of...
Long Question #2 Consider preferences over food and housing represented by the utility function U F2/3H1/3 A. Let Income 1200, PE 2 and PH6. Find the quantity demanded of housing and food. Graph the budget constraint and the optimal bundle that you found. Make sure to include an indifference curve. Let the price of food increase to 4. Add the new budget constraint, find the new optimal bundle and add it to your graph. B.
A consumer has preferences represented by the utility function u(x, y) -xlyi. (This means that a. What is the marginal rate of substitution? b. Suppose that the price of good x is 2, and the price of good y is 1. The consumer's income is 20. What is the optimal quantity of x and y the consumer will choose? c. Suppose the price of good x decreases to 1. The price of good y and the consumer's income are unchanged....
Good Y Good X The diagram above shows a budget constraint on Good X and Good Y. Point A is the original optimal bundle. Suppose Good X is an inferior good and the price of Good Y increases, draw the new budget constraint. Would the income effect increase or decrease the consumption on Good Y? Would the substitution effect increase or decrease the consumption on Good Y? If the substitution effect is larger than the income effect, indicate the new...
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