Consider a utility function u(x, y) = *y, where 0< a < 1 and 0 < b < 1. Also a x, y > 0. %3D 1. Derive the marginal utility of x and the marginal utility of y and state whether or no assumption that more is better is satisfied for both goods. 2. Does the marginal utility of x diminish, remain constant, or increase as the consume more x? What does it mean in words? 3. What is MRSy? 4. Suppose a, b = .What is MRS at (x, y) = (3, 12) and what does it mean in wor is MRS at (x, y) = (12, 3) and what does it mean in words? 5. Suppose a, b =. Draw two indifference curves of the utility function. To get full c draw one with the level of utility 2 and the other with the level of utility 3. For each indifference curve, label at least one point on the curve. %3D %3D %3D 6. Draw tangent lines at (x, y) = (4, 16) and (x, y) = (16, 4) in the same graph and I
Consider a utility function u(x, y) = *y, where 0< a < 1 and 0 < b < 1. Also a x, y > 0. %3D 1. Derive the marginal utility of x and the marginal utility of y and state whether or no assumption that more is better is satisfied for both goods. 2. Does the marginal utility of x diminish, remain constant, or increase as the consume more x? What does it mean in words? 3. What is MRSy? 4. Suppose a, b = .What is MRS at (x, y) = (3, 12) and what does it mean in wor is MRS at (x, y) = (12, 3) and what does it mean in words? 5. Suppose a, b =. Draw two indifference curves of the utility function. To get full c draw one with the level of utility 2 and the other with the level of utility 3. For each indifference curve, label at least one point on the curve. %3D %3D %3D 6. Draw tangent lines at (x, y) = (4, 16) and (x, y) = (16, 4) in the same graph and I
Chapter21: Demand: Consumer Choic
Section: Chapter Questions
Problem 1E
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![Economics
Consider a utility function u(x, y) = x", where 0 < a < 1 and 0 <b < 1. Also assume that
%3D
x, y > 0.
1. Derive the marginal utility of x and the marginal utility of y and state whether or not the
assumption that more is better is satisfied for both goods.
2. Does the marginal utility of x diminish, remain constant, or increase as the consumer buys
more x? What does it mean in words?
3. What is MRSy?
4. Suppose a, b = . What is MRS at (x, y) = (3, 12) and what does it mean in words? What
is MRS at (x, y) = (12, 3) and what does it mean in words?
5. Suppose a, b =
Draw two indifference curves of the utility function. To get full credit,
draw one with the level of utility 2 and the other with the level of utility 3. For each
indifference curve, label at least one point on the curve.
6. Draw tangent lines at (x, y) = (4, 16) and (x, y) = (16, 4) in the same graph and label the
slopes you solved in MRS(4, 16) and MRS(16, 4).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c2d3eb9-9170-4fa6-b505-939ccfa94861%2F616b00ca-bb60-4932-a49b-e7d3b78da322%2Fwnse0se_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Economics
Consider a utility function u(x, y) = x", where 0 < a < 1 and 0 <b < 1. Also assume that
%3D
x, y > 0.
1. Derive the marginal utility of x and the marginal utility of y and state whether or not the
assumption that more is better is satisfied for both goods.
2. Does the marginal utility of x diminish, remain constant, or increase as the consumer buys
more x? What does it mean in words?
3. What is MRSy?
4. Suppose a, b = . What is MRS at (x, y) = (3, 12) and what does it mean in words? What
is MRS at (x, y) = (12, 3) and what does it mean in words?
5. Suppose a, b =
Draw two indifference curves of the utility function. To get full credit,
draw one with the level of utility 2 and the other with the level of utility 3. For each
indifference curve, label at least one point on the curve.
6. Draw tangent lines at (x, y) = (4, 16) and (x, y) = (16, 4) in the same graph and label the
slopes you solved in MRS(4, 16) and MRS(16, 4).
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