Bnnas O al UI IImelioRO0d T0l DClla! Eplalli. 2. Suppose that a consumer has utility U(X,...
Suppose James derives utility from two goods {x,y}, characterised by the following utility function: $u(x, y) = 2sqrt{x} + y$: his wealth is w = 10 let py = 1: (a) What is his optimal basket if px = 0.50? What is her utility? (b) What is his optimal basket and utility if px = 0.20? (c) Find the substitution effect and the income effect associated with the price change. (d) What is the change in consumer surplus? Suppose Linda...
Question 2 Question 2 (15 pts) 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 wWhat is the optimal quantity 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...
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....
please in part b graph it with identifying everything. 2. Consumer Theory. Ahn's utility function for goods X (pizzas) and Y (cola) is represented as U(X, Y) = 2ln(X)+ln(Y). The prices of X and Y are $1 and $1, respectively. Ahn's income is $12. 1) Calculate Ahn's optimal consumption bundle (X*, Y*). (X*, Y*)= 2) Suppose there is an increase in the price of X. Illustrate the net effect, income effect, and substitution effect on Ahn's optimal consumption choice.
1. Suppose a consumer is maximizing utility consuming a bundle apples and bananas x and has standard preferences. Her budget constraint is given by the equation 1000-2a-2b0. Apples are normal goods and bananas are normal. a) plot the optimal bundle, showing the proper indifference curve and budget constraint. Call this bundle x1 b) show the effect of an increase of a single price increase for apples on the budget constraint. Use a hypothetical budget line to identify substitution effects for...
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...
Ahn’s utility function for goods X (pizzas) and Y (cola) is represented as U(X, Y) = 2ln(X)+ln(Y). The prices of X and Y are $1 and $1, respectively. Ahn’s income is $12. 1) Calculate Ahn’s optimal consumption bundle (X*, Y*). (X*, Y*)= . 2) Suppose there is an increase in the price of X. Illustrate the net effect, income effect, and substitution effect on Ahn’s optimal consumption choice.
Suppose the government wishes to tax a utility maximizing consumer to obtain a certain amount of tax revenue. A utility maximizing consumer has utility function u(x,y)= square root(x+y). The price of x is $1, the price of y is $4 and the consumers income is $120. a) Suppose the government imposes sales tax t=1 on good x per unit. What is the optimal consumption for good x and good y for the consumer under the sales tax? What is the...
Question 2 (15 pts) A consumer has preferences represented by the utility function ufa,y)ty. (This means that Muy and Muy ly 1) 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...
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...