Which one of the following statements is definitely correct for the marginal rate of substitution MRS(x1,x2) = dx2/dx1 of some continuous preferences over bundles of x1 and x2 with prices p, and p2, respectively? a) If the preferences over x1 and x2 are strictly monotone, MRS(x1,x2) < 0. b) If the preferences over x1 and x2 are strictly convex, ÔMRS(x1,x2)/ðx1 < 0 and ƏMRS (x1, x2)/dx2 > 0. c) For strictly monotone preferences, at a corner solution (xi, x;), MRS(x¡,x;) = P1/p2. d) For strictly monotone and strictly convex preferences, if at a point (x1, x2) on the budget line MRS(x1,x2) > P1/P2, then the optimum bundle (x, x;) lies where xi < x1 and x > X2.
Which one of the following statements is definitely correct for the marginal rate of substitution MRS(x1,x2) = dx2/dx1 of some continuous preferences over bundles of x1 and x2 with prices p, and p2, respectively? a) If the preferences over x1 and x2 are strictly monotone, MRS(x1,x2) < 0. b) If the preferences over x1 and x2 are strictly convex, ÔMRS(x1,x2)/ðx1 < 0 and ƏMRS (x1, x2)/dx2 > 0. c) For strictly monotone preferences, at a corner solution (xi, x;), MRS(x¡,x;) = P1/p2. d) For strictly monotone and strictly convex preferences, if at a point (x1, x2) on the budget line MRS(x1,x2) > P1/P2, then the optimum bundle (x, x;) lies where xi < x1 and x > X2.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:5. Which one of the following statements is definitely correct for the marginal rate of
substitution MRS(x1,x2) = dxX2/dx1 of some continuous preferences over bundles of x1 and
x2 with prices p, and p2, respectively?
a) If the preferences over x1 and x2 are strictly monotone, MRS(x1,x2) < 0.
b) If the preferences over X1 and x2 are strictly convex, ƏMRS(x1,x2)/0x1 < 0 and
ƏMRS (x1,x2)/ðx2 > 0.
c) For strictly monotone preferences, at a corner solution (x;,x;), MRS(x¡,x;) = P1/P2.
d) For strictly monotone and strictly convex preferences, if at a point (x1,x2) on the budget
line MRS(x1,x2) > P1/P2, then the optimum bundle (x, x;) lies where x < x1 and x >
X2.
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