EBK MACROECONOMICS
EBK MACROECONOMICS
7th Edition
ISBN: 8220106812686
Author: O'Brien
Publisher: PEARSON
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Chapter 2, Problem 2.3.8PA
To determine

Planned and actual market outcomes.

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The equilibrium prices P1 and P2 for two goods satisfy the equations:−4P1 + P2 = −132P1 − 5P2 = −7(a) Express this system of equations in the matrix form Ax = b. (b) What is the determinant of matrix A? (c) Find the inverse of matrix A. (d) Using matrix algebra, calculate the equilibrium prices
1. An individual’s utility function is given as, where x1 and x2 denote the number of units consumedof goods 1 and 2 respectively:U = x121 x132,(a) Express the marginal utilities of x1 and x2. (b) Show that the marginal utility of x1 is positive and interpret this result. (c) Find the value of the marginal utilities when x1=16 and x2=8. (d) Find the marginal rate of commodity substitution at this point. (e) Estimate the change in utility when x1 and x2 both increase by 1 unit.
Which of the following graphs best represents the production possibility frontier of Country Y (Line Y), the production possibility frontier of Country Z (Line Z), and the production possibility frontier of this whole economy (Line W)?  (Hint: Find W by adding the productive capabilities of Country Y and Z) Group of answer choices
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