Principles Of Economics 2e
Principles Of Economics 2e
2nd Edition
ISBN: 9781680920864
Author: Timothy Taylor, Steven A. Greenlaw, David Shapiro
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 19, Problem 9SCQ

The Central African Republic has a GDP of 1,107,689 million CFA francs and a population of 4 . 862 million. The exchange rate is 284 . 681CFA francs per dollar. Calculate the GDP per capital of Central African Republic.

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1. For the following utility functions, (i) calculate the MRS, (ii) show whether the MRS is constant, or diminishing, or increasing, (iii) calculate the degree of homogeneity, (iv) check the convexity of the Indifference Curve using the condition that for a function to be strict quasi-concave, it must be that f2f11-2f1f2f12+ ff22 < 0, (v) based on MRS's characteristics, draw an approximate Indifference Curve, and (vi) comment on the type of utility function. (a) U(x, y) = 3x + y (b) U(x, y)=√√x y (c) U(x, y)=√√x + y (d) U(x, y)=xy x+y

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