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2. Find the optimal bundle for utility given by u(x1, 2) bу рі — 1, р2...
Find the optimal bundle for the following utility functions and for budget line (P1X1+P2X2=m) a) U(X1,X2)=X1X2...
Find the optimal bundle for the following utility functions and for budget line (P1X1+P2X2=m) a) U(X1,X2)=X1X2 b) U(X1,X2)=X1^2X2^3 c) U(X1,X2)=X1^2+2X2 d)U(X1,X2)= ln (x1^3X2^4) e) U(X1,X2)= 2X1+X2 f) U(X1,X2)= min (2X1,X2)
5. Anya has utility given by u(x1,x2) Anya's optimal consumption of good 1. (Hint: this is...
5. Anya has utility given by u(x1,x2) Anya's optimal consumption of good 1. (Hint: this is linear utility) 18х, + 9х2. If Р, 3D $5, Р2 3D $2, аnd I $20, find -- - Using the information from question 5, find Anya's optimal consumption of good 2 6.
5. Anya has utility given by u(x1,x2) Anya's optimal consumption of good 1. (Hint: this is linear utility) 18х, + 9х2. If Р, 3D $5, Р2 3D $2, аnd I $20, find...
1) Eor each of the utility functions below, find the optimal consumption bundle if pi-3 and...
1) Eor each of the utility functions below, find the optimal consumption bundle if pi-3 and p2-2 and m-240 a. u(x)-2x2 b. u(x)-xix22 c. d, e. u(x)- 2x1+X2 u(x)-min(x1,2%) u(x)-x1-X22 y(x)-max(x1,x2) X(X1,X2 2) Suppose p1-2, p2-7 for the first 2 units and p2 4 for the rest. a) Ifm-54 and u(x) -X1+3x2, then what is the optimal consumption bundle? b) Ifm-22 and u(x) - min(3xı, 2x2), , thenwhat is the optimal consumption bundle? Erom Workouts: 5.3,5.6,5.7 3)
Suppose u(x1, x2 ) = x1^ax2^1-a (a) Find the optimal bundle x(p, w) and the indirect...
Suppose u(x1, x2 ) = x1^ax2^1-a (a) Find the optimal bundle x(p, w) and the indirect utility function v(p, w). (b) Find the Hicksian demand function h(p, u) and the expenditure function e(p, u). (c) For the remainder of the problem, suppose α = 4 and w = 5. If p = (2,1), what is5 the optimal bundle? What is the utility of that bundle? [Leave your answer in terms of fractions and exponents] (d) Suppose the price of good...
My utility is given by u(x1, x2) = 2x194x2-2 + In(x1) + [min{x1, x2)] + 2x2...
My utility is given by u(x1, x2) = 2x194x2-2 + In(x1) + [min{x1, x2)] + 2x2 + x1!! True, False, or Cannot Be Determined: When P1 = $2,P2 = $4, and I = $100, my optimal consumption bundle is (x1,x2) = (25,15).
Luke's choice behavior can be represented by the utility function u(x1,x2)= x1 + x2
Luke's choice behavior can be represented by the utility function u(x1,x2)= x1 + x2.The prices of x1 and x2 are denoted as p1 and p2, and his income is m. 1. Draw at least three indifference curves and find its slope (i.e. MRS). Is the MRS changing depending on the points of (x1, x2) at which it is evaluated, or constant? 2. Draw a budget constraint assuming that p1 < P2. Find the optimal bundle (x1*,x2*) as a function of income and prices. 3....
1. (24 total points) Suppose a consumer’s utility function is given by U(X,Y) = X1/2*Y1/2. Also,...
1. (24 total points) Suppose a consumer’s utility function is given by U(X,Y) = X1/2*Y1/2. Also, the consumer has $72 to spend, and the price of Good X, PX = $4. Let Good Y be a composite good whose price is PY = $1. So on the Y-axis, we are graphing the amount of money that the consumer has available to spend on all other goods for any given value of X. a) (2 points) How much X and Y...
4. Assume a utility function described by u(x,y)=2/xy. a. Given the utility function, u(x,y)=2xy, sketch the...
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.
h. U(1, 2 For the utility function above, find the consumer's optimal consumption bundle when prices...
h. U(1, 2 For the utility function above, find the consumer's optimal consumption bundle when prices of goods 1 and 2 are pl and p2, and the consumer has an income m. 1. 2. For the utility function above, find the consumer's optimal consumption bundle when prices of goods 1 and 2 are pl and p2, and the consumer has an endowment (el, e2) of the two goods. For each of your answers in question 2, write down the consumer...
* * 5. A consumer's preferences are given by the utility function U = x;'°*". The...
* * 5. A consumer's preferences are given by the utility function U = x;'°*". The price of good 1 is 3 and the price of 2 is 6, while her income is 36. The utility maximising bundle for the consumer is a. X* = 4, x* = 4 b. x1 = 4, x = 3 C. x1 = 2, x = 6 d. x1 = 8, x* = 2 e. None of the above * * N * *...
5. Anya has utility given by u(x1,x2) Anya's optimal consumption of good 1. (Hint: this is linear utility) 18х, + 9х2. If Р, 3D $5, Р2 3D $2, аnd I $20, find -- - Using the information from question 5, find Anya's optimal consumption of good 2 6.
5. Anya has utility given by u(x1,x2) Anya's optimal consumption of good 1. (Hint: this is linear utility) 18х, + 9х2. If Р, 3D $5, Р2 3D $2, аnd I $20, find...
1) Eor each of the utility functions below, find the optimal consumption bundle if pi-3 and p2-2 and m-240 a. u(x)-2x2 b. u(x)-xix22 c. d, e. u(x)- 2x1+X2 u(x)-min(x1,2%) u(x)-x1-X22 y(x)-max(x1,x2) X(X1,X2 2) Suppose p1-2, p2-7 for the first 2 units and p2 4 for the rest. a) Ifm-54 and u(x) -X1+3x2, then what is the optimal consumption bundle? b) Ifm-22 and u(x) - min(3xı, 2x2), , thenwhat is the optimal consumption bundle? Erom Workouts: 5.3,5.6,5.7 3)
My utility is given by u(x1, x2) = 2x194x2-2 + In(x1) + [min{x1, x2)] + 2x2 + x1!! True, False, or Cannot Be Determined: When P1 = $2,P2 = $4, and I = $100, my optimal consumption bundle is (x1,x2) = (25,15).
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.
h. U(1, 2 For the utility function above, find the consumer's optimal consumption bundle when prices of goods 1 and 2 are pl and p2, and the consumer has an income m. 1. 2. For the utility function above, find the consumer's optimal consumption bundle when prices of goods 1 and 2 are pl and p2, and the consumer has an endowment (el, e2) of the two goods. For each of your answers in question 2, write down the consumer...
* * 5. A consumer's preferences are given by the utility function U = x;'°*". The price of good 1 is 3 and the price of 2 is 6, while her income is 36. The utility maximising bundle for the consumer is a. X* = 4, x* = 4 b. x1 = 4, x = 3 C. x1 = 2, x = 6 d. x1 = 8, x* = 2 e. None of the above * * N * *...
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