There is a consumer called Mike. Mike owns an endowment (wOw1) = (2,3). The prices are (p0, p1) Utility function U (x0, x1) =x0x1 a. Solve the demand function x0(p0, p1) b. Solve the equation of the offer curve.
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- QUESTION 1 For the utility function U = Qx0.69Qy(1-0.69) find the trade-off rate between good X and good Y at Qx= 7 and Qy=11 Please enter your response as a positive number with 1 decimal and 5/4 rounding (e.g. 1.15 1.2, 1.14 = 1.1).Jennifer buys both turkey (x) and cheese (y) for her sandwiches. Her preferences over these two goods can be represented by the utility function U(x,y) = min[x, 2.5y] where x represents the number of slices of turkey and y represents the number of slices of cheese. a) Given her preferences find her demand functions for turkey (x) and cheese(y).Assume, as in Exercise 22.1, that a consumer has utility function F or fruit and chocolate. Determine the consumer's demand functions q1(P1, P2, M) and q2(P1, P2, M). Determine also It* in terms of P1, P2 and M. Find the indirect utility function and show that It* = 8Vj8M. Suppose, as before, that fruit costs $1 per unit and chocolate $2 per unit. If the income is raised from $36 to $36.5, determine the precise value of the resulting change in the indirect utility function. Show that this is approximately equal to (O.5)λ*, where λ* is evaluated at P1 = 1,P2 = 2 and M = 36. Exercise 22.1 A consumer purchases quantities of two commodities, fruit and chocolate, each month. The consumer's utility function is For a bundle (X1, X2) of X1 units of fruit and X2 units of chocolate. The consumer has a total of $49 to spend on fruit and chocolate each month. Fruit cost $1 per unit and chocolate costs $2 per unit. How many units of each should the consumer buy…
- Mr. Abdulah enjoys Coffee (K) and Tea (T), with the utility function U (K, T) = 3K + 4T. Question: - If the income drops to IDR 10, what effect will it have? - When does the Demand curve occur? Show in the picture.For the utility function U = Qx0.22Qy(1-0.22) find the trade-off rate between good X and good Y at Qx= 9 and Qy=19 Please enter your response as a positive number with 1 decimal and 5/4 rounding (e.g. 1.15 = 1.2, 1.14 = 1.1).Suppose the weighted marginal utility for two goods x and y at a position of consumer equilibrium 70. If the price of good x is r10 and the relevant marginal utility for y is 140 what is the price of good y and the relevant marginal utility for x
- For the utility function U = Qx0.28Q (1-0.28) and the budget 137 = 11Qx+6Qy find the CHANGE in optimal consumption of X if the price of X increases by a factor of 1.6. Please enter your response as a positive number with 1 decimal and 5/4 rounding (e.g. 1.15 = 1.2, 1.14 = 1.1).Lucas likes lemon soda (X) and chips (Y). His utility function is given by: U (X, Y) = X0.2Y0.8 He earns $40 per week to spend on lemon soda (X) and chips (Y). The prices of lemon soda and chips are $2 and $4 respectively. Find out Lucas’s utility-maximizing bundle of lemon soda and chips (X*, Y*). Set up the utility-maximization problem and find out the price ratio of these two goods. Find out Lucas’s marginal utility of lemon soda (MUX) and marginal utility of chips (MUY). Calculate the MRSXY . Set up the optimal tangency condition and solve for Y in terms of X. Solve for Lucas’s optimal consumption bundle of lemon soda (X*) and chips (Y*). Draw the optimal consumption bundle on the budget constraint BC1 in Q1. Denote it as Bundle A. Make sure to indicate the optimal consumption of lemon soda (X*) and chips (Y*). Draw an indifference curve that is tangent to the budget constraint at Bundle A. Calculate the value of the MRSXY (the value not the formula) at the optimal…Rick consumes 2 goods, Chicken McNuggets (M) with Szechuan sauce (S). His utility function is U(M, S) = M2/3 S1/3 and his income is m. The price of Chicken McNuggets is p, and the price of Szechuan sauce is 1. Use the equation from part (c) and the budget constraint from part (a) to find Rick’s demand for each of the two goods.
- Donald likes fishing (X1) and hanging out in his hammock (X2). His utility function for these two activities is u(x1, x2) = 3X12X24. (A) Calculate MU1, the marginal utility of fishing. (B) Calculate MU2, the marginal utility of hanging out in his hammock. (C) Calculate MRS, the rate at which he is willing to substitute hanging out in his hammock for fishing. (D)Last week, Donald fished 2 hours a day, and hung out in his hammock 4 hours a day. Using your formula for MRS from (c) find his MRS last week. (E) This week, Donald is fishing eight hours a day, and hanging out in his ham mock two hours a day. Calculate his MRS this week. Has his MRS increased or decreased? Explain why? (F) Is Donald happier or sadder this week compared to last week? Explain.Joe Bob from Workout Problem 4.12 has a cousin Don who consumes goods 1 and 2. Don thinks that 3 units of good 1 is always a perfect substitute for 2 units of good 2. Which of the following utility functions is the only one that would not represent Don's preferences? U(x1, x2) = min{2x1, 3x2}. Ux1, x2) = 20x1 + 30x2 - 10,000. Ux1, x2) = 2x1 + 3x2 + 1000. Ux1, x2) = 4x²2₁ + 12x₁x2 + 9x²₂. More than one of the above does not represent Don's preferences.Q 15. suppose the consumer's utility function is given by U(x,y) =x^1/4 y^3/4 where the equation for this consumer's demand curve for x is?