Question

utility function: U(f, w) = min {f, w/2} Let Y denote total income; let Pfdenote the...

utility function:

U(f, w) = min {f, w/2}

Let Y denote total income; let Pfdenote the price of food; and let Pw denote the price of water.

a.In what ratio does like to consume food and water?

b.Derive Marshallian demand functions for food and for water.

c.Do her demand functions satisfy the law of demand?

d.What is the cross-price elasticity of demand for water with respect to the price of food?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let the Utility Function be  U = min { X , Y }. Income is $12 and...
Let the Utility Function be  U = min { X , Y }. Income is $12 and the Price of Good Y is $1. The price of good X decreases from $2 to $1. What is the substitution effect and the income effect for good X given this price change?
The cross-price elasticity of demand DX for the utility function u = min (x, 2y) evaluated...
The cross-price elasticity of demand DX for the utility function u = min (x, 2y) evaluated at m = 24, pX = 4 and pY = 4 is equal to __________.
Consider the utility function U ( x,y ) = min { x , 2y }. (a)...
Consider the utility function U ( x,y ) = min { x , 2y }. (a) Find the optimal consumption choices of x and y when I=50, px=10, and py=5. (b) The formula for own-price elasticity of x is εx,px = (−2px/2px + py) For these specific values of income, prices, x and y, what is the own-price elasticity? What does this value tell us about x? (c) The formula for cross-price elasticity of x is εx,py = (py/2px +...
Let U (F, C) = F C represent the consumer's utility function, where F represents food...
Let U (F, C) = F C represent the consumer's utility function, where F represents food and C represents clothing. Suppose the consumer has income (M) of $1,200 , the price of food (PF) is $10 per unit, and the price of clothing (PC) is $20 per unit. Based on this information, her optimal (or utility maximizing) consumption bundle is:
utility function over consumption today (c1) and consumption tomorrow (c2): U(c1, c2) = log(c1) + blog(c2)...
utility function over consumption today (c1) and consumption tomorrow (c2): U(c1, c2) = log(c1) + blog(c2) where 0 < b < 1 and log denotes the natural logarithm Let p1 denote the price of c1 and p2 denote the price of c2. Assume that income is Y. Derive Marshallian demand functions for consumption today (c1) and consumption tomorrow (c2). What happens to c1 and c2 as b approaches 0? {Math hint: if y = log(x), dy/dx = 1/x}
A consumer has utility for protein bars and vitamin water summarized by the Cobb-Douglas utility function...
A consumer has utility for protein bars and vitamin water summarized by the Cobb-Douglas utility function U(qB,qW) = qBqW. a. Show that the consumer’s MRS at a generic bundle (qB,qW) is MRS = - MUB/MUW = - qW/qB. b. Show that the consumer’s MRS would equally be - qW/qB. if the consumer’s utility function was V(qB,qW) = qB0.5qW0.5. c. Find the consumer’s Marshallian demand for protein bars when M = 100 and Pw = 1. d. Is the demand function...
Bilbo can consume two goods, good 1 and good 2 where X1 and X2 denote the...
Bilbo can consume two goods, good 1 and good 2 where X1 and X2 denote the quantity consumed of each good. These goods sell at prices P1 and P2, respectively. Bilbo’s preferences are represented by the following utility function: U(X1, X2) = 3x1X2. Bilbo has an income of m. a) Derive Bilbo’s Marshallian demand functions for the two goods. b) Given your answer in a), are the two goods normal goods? Explain why and show this mathematically. c) Calculate Bilbo’s...
Consider a consumer with the following utility function: U(X, Y ) = X1/2Y 1/2 (a) Derive...
Consider a consumer with the following utility function: U(X, Y ) = X1/2Y 1/2 (a) Derive the consumer’s marginal rate of substitution (b) Calculate the derivative of the MRS with respect to X. (c) Is the utility function homogenous in X? (d) Re-write the regular budget constraint as a function of PX , X, PY , &I. In other words, solve the equation for Y . (e) State the optimality condition that relates the marginal rate of substi- tution to...
PROVIDE EXPLANATION - Kinko’s utility function is U(x, y) = min{2x, 6y}, where x is whips...
PROVIDE EXPLANATION - Kinko’s utility function is U(x, y) = min{2x, 6y}, where x is whips and y is leather jackets. If the price of whips were $20 and the price of leather jackets were $20, Kinko would demand a. 3 times as many whips as leather jackets. b. 4 times as many leather jackets as whips. c. 2 times as many leather jackets as whips. d. 5 times as many whips as leather jackets. e. only leather jackets. -...
3. Nora enjoys fish (F) and chips(C). Her utility function is U(C, F) = 2CF. Her...
3. Nora enjoys fish (F) and chips(C). Her utility function is U(C, F) = 2CF. Her income is B per month. The price of fish is PF and the price of chips is PC. Place fish on the horizontal axis and chips on the vertical axis in the diagrams involving indifference curves and budget lines. (a) What is the equation for Nora’s budget line? (b) The marginal utility of fish is MUF = 2C and the Marginal utility of chips...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT