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Anna spends all her income on wine (good 1) and cheese (good 2). Her utility function...
Anna spends all her income on wine (good 1) and cheese (good 2). Her utility function is u(x1; x2) = x1x2. Her income is m = $200. The prices for the two goods are p1 = $20 and p2 = $10 respectively. Find Annaís optimal consumption bundle. Show the complete calculations, and illustrate your answer graphically (draw the indi§erence curve and the budget constraint). How would your answer change to part (a) if Annaís utility function were given by v(x1;...
3. Jade is deciding how much to work in 2020. She derives utility from consumption,C, but...
3. Jade is deciding how much to work in 2020. She derives utility from consumption,C, but she also really likes taking leisure time L. She must divide her available hours between work and leisure. For every hour of leisure she takes, she must work one fewer hours (meaning that the price of leisure is her hourly wage). The function that describes her preferences is given by The marginal utilities are U(C, L) = C(1/2)L(1/2) MUC = 1C(−1/2)L(1/2)2 MUL = 1C(1/2)L(−1/2)2...
I am trying to understand this material how can i go about solving #4 3. (8...
I am trying to understand this material how can i go about solving
#4
3. (8 points total) Suppose a firm has the following benefit and cost structure: B(Q) 140Q 302 C(Q) 0.50 a. Find the MB(Q) and MC(Q) functions. b. What value of Q maximizes the Net Benefit NB(Q) B(Q)-C(Q)? 4. (50 points total) Abby is a first grader who likes to drink milk and juice. Suppose her parents give her $12 a week in pocket money to spend...
3. Keiko spends all her money on airtime for her mobile phone and gasoline for her...
3. Keiko spends all her money on airtime for her mobile phone and gasoline for her car. Her preferences correspond to the utility function U(G,W) = W+ 20/G, where G stands for gallons of gasoline and W stands for mobile (wireless) minutes used in a week. (Remember, for that utility function, the marginal utility of gasoline is 10/VG, and the marginal utility of mobile minutes is 1.) Keiko can spend S40 and mobile minutes cost $0.50 per minute. Suppose the...
Cat only buys tomatoes (x) and cucumbers (y) and her preferences can be identified with U(x,x)=6x2y....
Cat only buys tomatoes (x) and cucumbers (y) and her preferences can be identified with U(x,x)=6x2y. a. What is Cat's marginal utility for tomatoes, and what is her marginal utility for cucumbers? How does Cat's utility change when she consumes more tomatoes? How does her utility change when she consumes more cucumbers? b. Find Cat’s marginal rate of substitution (tomatoes are on the x axis and cucumbers on the y axis). What is the slope of Cat's indifference curve that...
3. [Individual and Market Demand](15%) Suppose the domestic demand for oil in the US is Qpp...
3. [Individual and Market Demand](15%) Suppose the domestic demand for oil in the US is Qpp = 1000-30P, and the foreign demand is QFD = 1400-50P, where the quantity demanded is measured in gallons and price is in dollars per gallon. 4. [Utility Maximization](25%) Mary spends her income on housing (H) and food (F). Her utility function is given by: U(H,F) = 3HF-H+F a) (5%) What is the equation(s) for the world demand of oil? Please draw the domestic demand,...
Section B. Short Answer Question (2 questions, 20 points each) Question 1 (20 pts) The following...
Section B. Short Answer Question (2 questions, 20 points each) Question 1 (20 pts) The following data pertain to products A and B, both of which are purchased by Emily. Emily has $105 to spend per time period. Initially, the prices of the products are PA $5, PB $10. And Emily's optimal consumption bundle is O1 {QA = 5, QB- 8}. 1.1) What is Emily's marginal rate of substitution when she consumes the bundle O1, i.e., ΔΑ MUB MRS MUA...
how to solve this?! Section III Longer Problems (4 points each - 68 points total). Show your work. 1. Consider Mar...
how to solve this?!
Section III Longer Problems (4 points each - 68 points total). Show your work. 1. Consider Mary's utility function u(x1, +2) = [min{2x1, x2}]} (a) Draw Mary's indifference curve that yields u = 1 and u = 2. Mark the kink clearly. (b) Derive Mary's optimal demand function for each of the goods, i.e., find ai (P. P. m) and (P1, P2, m). (C) If Pi = 1, P2 = 1 and m 6, what is...
Suppose an individual’s utility function for two goods X and Y is givenby U(X,Y) = X^(3/4)Y^(1/4)...
Suppose an individual’s utility function for two goods X and Y is givenby U(X,Y) = X^(3/4)Y^(1/4) Denote the price of good X by Px, price of good Y by Py and the income of the consumer by I. a) (2 points) Write down the budget constraint for the individual. b) (4 points) Derive the marginal utilities of X and Y. c) (3 points) Derive the expression for the marginal rate of substitution of X for Y. Write down the tangency...
1. Sally has preferences represented by the utility function UC, M) = 3 + 61rC M, where C is coffee and M is meals....
1. Sally has preferences represented by the utility function UC, M) = 3 + 61rC M, where C is coffee and M is meals. Her income is S100, and she pays $2 per coffee and S10 per meal a. Distinguish (the concepts of) diminishing marginal rate of substitution from diminishing marginal uty Your answer does not have to be specific to Sally's preferences. (4 points) Use the Lagrangian method to derive Sally's utility maximizing bundle given her budget constraint. Circle...
I am trying to understand this material how can i go about solving
#4
3. (8 points total) Suppose a firm has the following benefit and cost structure: B(Q) 140Q 302 C(Q) 0.50 a. Find the MB(Q) and MC(Q) functions. b. What value of Q maximizes the Net Benefit NB(Q) B(Q)-C(Q)? 4. (50 points total) Abby is a first grader who likes to drink milk and juice. Suppose her parents give her $12 a week in pocket money to spend...
3. Keiko spends all her money on airtime for her mobile phone and gasoline for her car. Her preferences correspond to the utility function U(G,W) = W+ 20/G, where G stands for gallons of gasoline and W stands for mobile (wireless) minutes used in a week. (Remember, for that utility function, the marginal utility of gasoline is 10/VG, and the marginal utility of mobile minutes is 1.) Keiko can spend S40 and mobile minutes cost $0.50 per minute. Suppose the...
Cat only buys tomatoes (x) and cucumbers (y) and her preferences can be identified with U(x,x)=6x2y. a. What is Cat's marginal utility for tomatoes, and what is her marginal utility for cucumbers? How does Cat's utility change when she consumes more tomatoes? How does her utility change when she consumes more cucumbers? b. Find Cat’s marginal rate of substitution (tomatoes are on the x axis and cucumbers on the y axis). What is the slope of Cat's indifference curve that...
3. [Individual and Market Demand](15%) Suppose the domestic demand for oil in the US is Qpp = 1000-30P, and the foreign demand is QFD = 1400-50P, where the quantity demanded is measured in gallons and price is in dollars per gallon. 4. [Utility Maximization](25%) Mary spends her income on housing (H) and food (F). Her utility function is given by: U(H,F) = 3HF-H+F a) (5%) What is the equation(s) for the world demand of oil? Please draw the domestic demand,...
Section B. Short Answer Question (2 questions, 20 points each) Question 1 (20 pts) The following data pertain to products A and B, both of which are purchased by Emily. Emily has $105 to spend per time period. Initially, the prices of the products are PA $5, PB $10. And Emily's optimal consumption bundle is O1 {QA = 5, QB- 8}. 1.1) What is Emily's marginal rate of substitution when she consumes the bundle O1, i.e., ΔΑ MUB MRS MUA...
how to solve this?!
Section III Longer Problems (4 points each - 68 points total). Show your work. 1. Consider Mary's utility function u(x1, +2) = [min{2x1, x2}]} (a) Draw Mary's indifference curve that yields u = 1 and u = 2. Mark the kink clearly. (b) Derive Mary's optimal demand function for each of the goods, i.e., find ai (P. P. m) and (P1, P2, m). (C) If Pi = 1, P2 = 1 and m 6, what is...
1. Sally has preferences represented by the utility function UC, M) = 3 + 61rC M, where C is coffee and M is meals. Her income is S100, and she pays $2 per coffee and S10 per meal a. Distinguish (the concepts of) diminishing marginal rate of substitution from diminishing marginal uty Your answer does not have to be specific to Sally's preferences. (4 points) Use the Lagrangian method to derive Sally's utility maximizing bundle given her budget constraint. Circle...
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