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2. Draw the graph of an indifference curve map for the utility...
7.5. Continue assuming a, b -^. Draw two indifference curves of the utility function. To get...
7.5. Continue assuming 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. 7.6. Draw tangent lines at (x, y)- (1, 4) and (x, y) - (4, 1) in the same graph and label the slopes you solved in MRS(1, 4) and MRS(4, 1). Consider a...
For each of the following utility functions, draw an indifference map with 3 in curves. Be...
For each of the following utility functions, draw an indifference map with 3 in curves. Be sure to label your axes, and label your curves as IC1, IC2, and ICs, where difference 1 U2 U (X,Y)=3X+5Y U3. (5 points each) a. U(X, Y) U(X, Y) -X2 + ln(Y) min(3X,5Y) c. d.
Question 16 1 pts A typical indifference curve is negatively sloped because: as we consume more...
Question 16 1 pts A typical indifference curve is negatively sloped because: as we consume more of one good, we are willing to give up the consumption of another good without changing our utility higher indifference curves represent higher levels of utility higher indifference curves represent lower levels of utility we assume that a consumer's income is constant Question 17 1 pts A typical indifference curve: O is convex to the origin (bowed in) has a constant slope is concave...
For each of the following utility functions, draw an indifference map with 3 indifference curves. Be...
For each of the following utility functions, draw an indifference map with 3 indifference curves. Be sure to label your axes, and label your curves as IC1, IC2, and IC3, where U1 < U2 < U3. (5 points each) a. ?(?, ?) = 3? + 5? b. ?(?, ?) = ? 2 + ? 2 c. ?(?, ?) = −? 2 + ln(?) d. ?(?, ?) = min(3?, 5?)
2. Janice consumes two goods, X and Y. Janice has a utility function given by the...
2. Janice consumes two goods, X and Y. Janice has a utility function given by the expression: U = 4x0.5y 0.5 The current prices of X and Y are $25 and $50, respectively. Janice currently has an income of $750 per time period (Put X on the horizontal axis and Y on the vertical axis). a) Is the assumption that "more is better” satisfied for both goods? b) Calculate MRSxy. Determine if it is diminishing for this utility function. c)...
24. Consider a consumer with a utility function of u(x,y)=xy. (10 total) a) Draw to scale...
24. Consider a consumer with a utility function of u(x,y)=xy. (10 total) a) Draw to scale the consumer's indifference curves for u(x,y)=100 and u(xy)=400. (2) b) Verify the both x and y are "goods" rather than "bads." (3) c) Verify that the law of diminishing marginal rate of substitution holds. (3) d) Suppose that the utility numbers assigned to bundles are determined by the formula (xy) Vxy, instead of u(x,y)= xy. How does the change in the formula change the...
(1 point) Suppose that you have two consumption choices: good X, and good Y. An indifference...
(1 point) Suppose that you have two consumption choices: good X, and good Y. An indifference curve is the set of consumption choices with a CONSTANT utility. For example if consuming 10X and 6Y gives me the same utility as consuming 11X and 5Y, then these are both points on the same indifference curve. An indifference map is the set of all indifference curves with EVERY given utility. Consider the indifference map given by: U = XY, where U is...
Consider a utility function u(x,y) = Xayb, where 0くaく1 and 0 < b 〈 1. Also...
Consider a utility function u(x,y) = Xayb, where 0くaく1 and 0 < b 〈 1. Also assume that x,y>0 7.1. 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. 7.2. Does the marginal utility of x diminish, remain constant, or increase as the consumer buys more x?What does it mean in words? 7.3. What is MRS.y? 7.4. Suppose a, b- Wht...
1. (18 points) For each of the following situations, i) Find the Marginal Rate of Substitution...
1. (18 points) For each of the following situations, i) Find the Marginal Rate of Substitution at the given bundle, and ii) use a graph to indicate the given bundle, and accurately draw the indifference curve that goes through that bundle. Be sure to label you graph carefully and accurately. In all cases put the amount of good X on the horizontal axis, and the amount of good Y on the vertical axis. a) The consumers utility function is given...
Consider the utility function U(x,y) = 3x+y, with MUx=3 and MUy=1 e) On a graph with...
Consider the utility function U(x,y) = 3x+y, with MUx=3 and MUy=1 e) On a graph with x on the horizontal axis and y on the vertical axis, draw a typical indifference curve (it is not exactly to scale, but it needs to reflect accurately whether there is a diminishing MRS x,y). Also, indicate on your graph whether the indifference curve will intersect either or both exes. label the curve U1. f) on the same graph draw a second indifference curve...
7.5. Continue assuming 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. 7.6. Draw tangent lines at (x, y)- (1, 4) and (x, y) - (4, 1) in the same graph and label the slopes you solved in MRS(1, 4) and MRS(4, 1). Consider a...
For each of the following utility functions, draw an indifference map with 3 in curves. Be sure to label your axes, and label your curves as IC1, IC2, and ICs, where difference 1 U2 U (X,Y)=3X+5Y U3. (5 points each) a. U(X, Y) U(X, Y) -X2 + ln(Y) min(3X,5Y) c. d.
Question 16 1 pts A typical indifference curve is negatively sloped because: as we consume more of one good, we are willing to give up the consumption of another good without changing our utility higher indifference curves represent higher levels of utility higher indifference curves represent lower levels of utility we assume that a consumer's income is constant Question 17 1 pts A typical indifference curve: O is convex to the origin (bowed in) has a constant slope is concave...
2. Janice consumes two goods, X and Y. Janice has a utility function given by the expression: U = 4x0.5y 0.5 The current prices of X and Y are $25 and $50, respectively. Janice currently has an income of $750 per time period (Put X on the horizontal axis and Y on the vertical axis). a) Is the assumption that "more is better” satisfied for both goods? b) Calculate MRSxy. Determine if it is diminishing for this utility function. c)...
24. Consider a consumer with a utility function of u(x,y)=xy. (10 total) a) Draw to scale the consumer's indifference curves for u(x,y)=100 and u(xy)=400. (2) b) Verify the both x and y are "goods" rather than "bads." (3) c) Verify that the law of diminishing marginal rate of substitution holds. (3) d) Suppose that the utility numbers assigned to bundles are determined by the formula (xy) Vxy, instead of u(x,y)= xy. How does the change in the formula change the...
(1 point) Suppose that you have two consumption choices: good X, and good Y. An indifference curve is the set of consumption choices with a CONSTANT utility. For example if consuming 10X and 6Y gives me the same utility as consuming 11X and 5Y, then these are both points on the same indifference curve. An indifference map is the set of all indifference curves with EVERY given utility. Consider the indifference map given by: U = XY, where U is...
Consider a utility function u(x,y) = Xayb, where 0くaく1 and 0 < b 〈 1. Also assume that x,y>0 7.1. 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. 7.2. Does the marginal utility of x diminish, remain constant, or increase as the consumer buys more x?What does it mean in words? 7.3. What is MRS.y? 7.4. Suppose a, b- Wht...
1. (18 points) For each of the following situations, i) Find the Marginal Rate of Substitution at the given bundle, and ii) use a graph to indicate the given bundle, and accurately draw the indifference curve that goes through that bundle. Be sure to label you graph carefully and accurately. In all cases put the amount of good X on the horizontal axis, and the amount of good Y on the vertical axis. a) The consumers utility function is given...
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