
4) Consider the utility function U = 2F + 5C. a. Carefully sketch the indifference curve...
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 =...
3. Paul derives utility only from CDs and DVDs. His utility function is Sketch Paul's indifference curves for U-5, U-10, and U-20 Suppose Paul has $200 to spend and that CDs cost $5 and DVDs cost $20. Draw Paul's budget constraint on the same graph as his ndifference curves Suppose Paul spends all of his income on DVDs. How many can he buy and what is his utility? Show that Paul's income will not permit him to reach the U-20...
Draw an indifference curve for the utility function U= 0.5XY where utility equals 10. Identify 4 consumption bundles (X and Y values) that lie on this indifference curve: Can someone please explain?
4. Suppose that Noah's utility function is given by (a) Draw an indifference curve that goes through the bundle (2,2), where xi is on the horizontal axis and z2 is on the vertical axis. (b) Draw another indifference curve that goes through the bundle (3, 3) on the same diaram as (a). Label carefully. (c) What kind of preference does Noah have about the two goods?
4. Assume a utility function described by u(x,y)=2/xy. a. Given the utility function, u(x,y)=2xy, sketch the indifference curves for u = 50, 72 and 98. e indifference Carved forbise banta un b. Sketch budget constraint of 5x +10y = 30. Label intercepts (where it crosses the axes). 00:0 VE c. Solve for calculate) the optimal bundle (x, y) and sketch the optimal solution.
Charlie’s utility function is U(xA, xB) = xAxB. Suppose that the price of apples is 1, the price of bananas is 2, and Charlie’s income is 40. (a) On a graph, use blue ink to draw Charlie’s budget line. (Use a ruler and try to make this line accurate.) Plot a few points on the indifference curve that gives Charlie a utility of 150 and sketch this curve with red ink. Now plot a few points on the indifference curve...
Consumption-Savings Consider a consumer with a lifetime utility function U = u(Ct) + _u(Ct+1) that satisfies all the standard assumptions listed in the book. The period t and t + 1 budget constraints are Ct + St = Yt Ct+1 + St+1 = Yt+1 + (1 + r)St (a) What is the optimal value of St+1? Impose this optimal value and derive the lifetime budget constraint. (b) Derive the Euler equation. Explain the economic intuition of the equa- tion. (c)...
Consider the following utility function of 2 goods, x and y: U(x,y)=min{x+2y, y+3x} ; x,y ≥0. a) Carefully draw the indifference curve when utility level is 10. Explain your answer. b) If income is $100 and price of good x and y is $10 and $20 respectively, then find out the consumption bundle that maximizes utility.
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...
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...