For each of the following utility functions (i) derive the equations describing the indifference curves; (ii) draw indifference curve and upper contour set at a point (10, 5), is it convex?; (iii) compute MRS at a point (5, 5) when it exists (MRS does not exist at a kink of an indifference curve) : (a) u(x, y) = r+ V
For each of the following utility functions (i) derive the equations describing the indifference curves; (ii) draw indifference curve and upper contour set at a point (10, 5), is it convex?; (iii) compute MRS at a point (5, 5) when it exists (MRS does not exist at a kink of an indifference curve) : (a) u(x, y) = r+ V
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![For each of the following utility functions (i) derive the equations describing the indifference
curves; (ii) draw indifference curve and upper contour set at a point (10, 5), is it convex?;
(iii) compute MRS at a point (5, 5) when it exists (MRS does not exist at a kink of an
indifference curve):
(a) u(x, y) = x+ vI
(b) u(x1, 22) = In r + 10 ln r2
(c) u(x1, r2) = (x1 +1)(x2 + 2)
(d) u(x1, 22) = ymin{2r + x2, 11 + 2.a2}
%3D
(e) u(*1, 22) = min{r1, T2}
(f) u(x1, 22) = max{r1, 2}
%3D
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41236132-d364-4f89-a125-212b0cc9da77%2F3a43480b-e494-42f3-b391-81b21a8c4801%2Fu93fgxl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For each of the following utility functions (i) derive the equations describing the indifference
curves; (ii) draw indifference curve and upper contour set at a point (10, 5), is it convex?;
(iii) compute MRS at a point (5, 5) when it exists (MRS does not exist at a kink of an
indifference curve):
(a) u(x, y) = x+ vI
(b) u(x1, 22) = In r + 10 ln r2
(c) u(x1, r2) = (x1 +1)(x2 + 2)
(d) u(x1, 22) = ymin{2r + x2, 11 + 2.a2}
%3D
(e) u(*1, 22) = min{r1, T2}
(f) u(x1, 22) = max{r1, 2}
%3D
%3D
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