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5. Suppose that each consumer has the Cobb-Douglas utility function u:(X1i, X2i) X11 X21-4. In addition...
Suppose an individual’s utility function is u=x11/2, x21/2. Let p1=4, p2=5, and income equal $200. With...
Suppose an individual’s utility function is u=x11/2, x21/2. Let p1=4, p2=5, and income equal $200. With a general equation and general prices, derive the equal marginal principle. Graphically illustrate equilibrium and disequilibrium conditions and how consumers can reallocate their consumption to maximize utility. What is the optimal amount of x1 consumed? What is the optimal amount of x2 consumed? What is the marginal rate of substitution at the optimal amounts of x1 and x2? As functions of p1, p2, and...
4. Suppose preferences are represented by the Cobb-Douglas utility function, u(x1x2) = xx-. a) Show that...
4. Suppose preferences are represented by the Cobb-Douglas utility function, u(x1x2) = xx-. a) Show that marginal utility is decreasing in X and X2. What is the interpretation of this property? b) Calculate the marginal rate of substitution c) Assuming an interior solution, solve for the Marshallian demand functions.
Suppose a consumer has a utility function U(x1, x2) = Inxi + x2. The consumer takes...
Suppose a consumer has a utility function U(x1, x2) = Inxi + x2. The consumer takes prices (p1 and p2) and income (I) as given. > 1. What is special about P2 1) Find the demand functions for and x2 assuming these demand functions? Are both goods normal? Are these tastes homothetic? 2) Now find the demand functions for x1 and x2 assuming-<1. You probably P2 assumed the opposite above, so now will you find something different. Explain 3) Graph...
1. When a consumer has a Cobb-Douglas utility function given by u(x, y) = xa yb , their demand for good x is given by x∗...
1. When a consumer has a Cobb-Douglas utility function given by u(x, y) = xa yb , their demand for good x is given by x∗ = m/Px (a/a+b) where m is income and Px is the price of good x. Using this demand function, find the formula for this consumer’s price elasticity of demand. Interpret it in words.
Suppose a consumer has a utility function U (x1,x2) = Inxi + x2. The consumer takes...
Suppose a consumer has a utility function U (x1,x2) = Inxi + x2. The consumer takes prices (p1 and p2) and income (I) as given 1) Find the demand functions for x1 and x2 assuming -> 1. What is special about Р2 these demand functions? Are both goods normal? Are these tastes homothetic? <1. You probably P2 2) Now find the demand functions for x1 and x2 assuming assumed the opposite above, so now will you find something different. Explain....
Marvin has a Cobb-Douglas utility function, U=q20.5920.5 his income is Y = $500, and initially he...
Marvin has a Cobb-Douglas utility function, U=q20.5920.5 his income is Y = $500, and initially he faces prices of P1 = $1 and P2 = $4. If p1 increases from $1 to $4, what are his compensating variation (CV), change in consumer surplus (ACS), and equivalent variation (EV)? Marvin's compensating variation (CV) is $ . (Enter your response rounded to two decimal places and include a minus sign if necessary.) Marvin's change in consumer surplus (ACS) is $ U. (Enter...
Marvin has a Cobb-Douglas utility function, U=9,0.5920.5, his income is Y = $900, and initially he...
Marvin has a Cobb-Douglas utility function, U=9,0.5920.5, his income is Y = $900, and initially he faces prices of p1 = $1 and P2 = $2. If p, increases from $1 to $2, what are his compensating variation (CV), change in consumer surplus (ACS), and equivalent variation (EV)? Marvin's compensating variation (CV) is $ 1. (Enter your response rounded to two decimal places and include a minus sign if necessary.) Marvin's change in consumer surplus (ACS) is $ . (Enter...
5. A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(C1,C2)...
5. A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(C1,C2) = ccm, where Ct = consumption in period t and a + b = 1. Her income in period one is 1 = 500 and 12 = 400, and she can lend or borrow at interest rate r = 0.2. (a) Find the optimal consumption demand. (b) What values of a, if any, makes the consumer a borrower? Interpret this result. (c) Suppose now...
5. A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(C1,C2)...
5. A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(C1,C2) = ccm where ct = consumption in period t and a + b = 1. Her income in period one is 11 = 500 and 12 = 400, and she can lend or borrow at interest rate r = 0.2. (a) Find the optimal consumption demand. (b) What values of a, if any, makes the consumer a borrower? Interpret this result. (c) Suppose now...
number 1 please Problem 2. Consider a consumer has Cobb-Douglas preferences over two goods 21 and...
number 1 please
Problem 2. Consider a consumer has Cobb-Douglas preferences over two goods 21 and 22, given by u (21, 22) = 7 ln 21 + In 22. Let pı = 5 and p2 = 3 be the prices of the two goods, and suppose the agent has income I = 20. Suppose there is rationing of goods, so that in addition to paying for goods, the agent must have the appropriate number of coupons. Suppose, the agent begins...
4. Suppose preferences are represented by the Cobb-Douglas utility function, u(x1x2) = xx-. a) Show that marginal utility is decreasing in X and X2. What is the interpretation of this property? b) Calculate the marginal rate of substitution c) Assuming an interior solution, solve for the Marshallian demand functions.
Suppose a consumer has a utility function U(x1, x2) = Inxi + x2. The consumer takes prices (p1 and p2) and income (I) as given. > 1. What is special about P2 1) Find the demand functions for and x2 assuming these demand functions? Are both goods normal? Are these tastes homothetic? 2) Now find the demand functions for x1 and x2 assuming-<1. You probably P2 assumed the opposite above, so now will you find something different. Explain 3) Graph...
Suppose a consumer has a utility function U (x1,x2) = Inxi + x2. The consumer takes prices (p1 and p2) and income (I) as given 1) Find the demand functions for x1 and x2 assuming -> 1. What is special about Р2 these demand functions? Are both goods normal? Are these tastes homothetic? <1. You probably P2 2) Now find the demand functions for x1 and x2 assuming assumed the opposite above, so now will you find something different. Explain....
Marvin has a Cobb-Douglas utility function, U=q20.5920.5 his income is Y = $500, and initially he faces prices of P1 = $1 and P2 = $4. If p1 increases from $1 to $4, what are his compensating variation (CV), change in consumer surplus (ACS), and equivalent variation (EV)? Marvin's compensating variation (CV) is $ . (Enter your response rounded to two decimal places and include a minus sign if necessary.) Marvin's change in consumer surplus (ACS) is $ U. (Enter...
Marvin has a Cobb-Douglas utility function, U=9,0.5920.5, his income is Y = $900, and initially he faces prices of p1 = $1 and P2 = $2. If p, increases from $1 to $2, what are his compensating variation (CV), change in consumer surplus (ACS), and equivalent variation (EV)? Marvin's compensating variation (CV) is $ 1. (Enter your response rounded to two decimal places and include a minus sign if necessary.) Marvin's change in consumer surplus (ACS) is $ . (Enter...
5. A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(C1,C2) = ccm, where Ct = consumption in period t and a + b = 1. Her income in period one is 1 = 500 and 12 = 400, and she can lend or borrow at interest rate r = 0.2. (a) Find the optimal consumption demand. (b) What values of a, if any, makes the consumer a borrower? Interpret this result. (c) Suppose now...
5. A consumer who lives for two periods has a standard Cobb-Douglas utility func- tion: u(C1,C2) = ccm where ct = consumption in period t and a + b = 1. Her income in period one is 11 = 500 and 12 = 400, and she can lend or borrow at interest rate r = 0.2. (a) Find the optimal consumption demand. (b) What values of a, if any, makes the consumer a borrower? Interpret this result. (c) Suppose now...
number 1 please
Problem 2. Consider a consumer has Cobb-Douglas preferences over two goods 21 and 22, given by u (21, 22) = 7 ln 21 + In 22. Let pı = 5 and p2 = 3 be the prices of the two goods, and suppose the agent has income I = 20. Suppose there is rationing of goods, so that in addition to paying for goods, the agent must have the appropriate number of coupons. Suppose, the agent begins...
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Multiple Choice
Multiple Choice
Section 2.1 - 2.2
Introduction to Classes
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