3. Paul derives utility only from CDs and DVDs. His utility function is Sketch Paul's indifference...
5. John Paul derives utility from the consumption of cigars and brandy on friday evenings. His utility from c cigars and b glasses of brandy is given by: (a) First find Uc. Interpret you answer: What does your answer mean to J.P? b) Suppose cost or money is not a problem for J.P. How many cigars and glasses of brandy will he consume on a friday evening? Verify that your answer indeed maximizes U Hint: Hessian (c) Continue to assume...
The price of DVDs (D) is $20 and the price of CDs (C) is $10. Philip has a budget of $100 to spend on the two goods. Suppose he has already bought one DVD and one CD. In addition, there are 3 more DVDs and 5 more CDs he would like to buy. a. Given the above prices and income, draw his budget line on a graph with CDs on the horizontal axis and correctly identify where is current market...
Mr. A derives utility from martinis (m) in proportion to the number he drinks Mr.A is particular about his martinis, however: He only enjoys them made in the exact proportion of two parts gin (g) to one part vermouth (v). Hence, we can rewrite Mr.A's utility function as: The following graph measures gin (g) along the horizontal axis and vermouth (v) along the vertical axis. On the following graph, use the purple points (diamon symbols) to plot Mr.A's indifference curve...
Each day Paul, who is in third grade, eats lunch at school. He likes only Twinkies (t) and soda (s), and these provide him a utility of: utility = U(t,s) = Suppose the price of twinkies is P each and the price of soda is Ps per cup. Also suppose Paul has I, given to him by his mother, to spend on lunch at school For this general case, which of the following are first order conditions for a utility...
2) (15 points) Suppose that Peter is an expected-utility maximizer who derives utility from his disposable income according to the function: U(I) = V1001, where I, measured in US dollars, represents his disposable income. Currently, Peter's disposable income is $90,000. There is a 1% chance that his Audi will be stolen. If this happens, his disposable income will be reduced to $10,000, since he will be spending $80,000 getting a new car. a) If Peter does not purchase auto insurance,...
3) Consider the utility function U = 3FC. a. Carefully sketch the indifference curve for utility of 24. Label four market baskets on the indifference curve. (Hint: In Desmos, enter 24=3xy) b. Carefully sketch the indifference curve for utility of 48. Label four market baskets on the indifference curve. c. Which market basket gives highest utility: (0,10) or (2,8) or (5,5) or (9,2)? Rank the market baskets and identify them on your graph. 4) Consider the utility function U =...
2. Mike's preferences are represented by the utility function U(A, B)- A+2B. He has an income of $20. Consider each of the following combination of prices of goods. On the same graph, (i) graph a family of indifference curves for the consumer, (ii) graph the budget lines for each combination of prices, (iii) calculate and label the optimal consumption choice(s) for each combination of prices, and (iv) calculate the utility Mike derives from consuming the optimal consumption choice bananas (a)...
2. Mike's preferences are represented by the utility function U(A, B) A+2B. He has an income of $20. Consider each of the following combination of prices of goods. On the same graph, (i) graph a family of indifference curves for the consumer, (ü) graph the budget lines for each combination of prices, (i cakculate and label the optimal consumption choice(s) for each combination of prices, and (iv) cakulate the utility Mike derives from consuming the optimal consumption choice. bananas 20...
2. Mike's preferences are represented by the utility function U(A, B) A+2B. He has an income of S20. Consider each of the following combination of prices of goods. On the same graph, (i) graph a family of indifference curves for the consumer, (ii) graph the budget lines for each combination of prices, (iii) calculate and label the optimal consumption choice(s) for each combination of prices, and (iv) calculate the utility Mike derives from consuming the optimal consumption choice. bananas 20...
Josh gets utility (satisfaction) from two goods, A and B, according to the utility function U(A,B) = 5A1/4B3/4. While Luke would like to consume as much as possible he is limited by his income. a. Maximize Josh’s utility subject to the budget constraint using the Lagrangean method. b. Suppose PA increase. Show graphically the income, substitution effect and total effect and explain. c. Suppose PA increase. Show the graph for CV and EV and explain.