Microeconomics (13th Edition)
13th Edition
ISBN: 9780134744476
Author: Michael Parkin
Publisher: PEARSON
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Chapter 1.2, Problem 2RQ
To determine
Illustration of conflicts between self-interest and social interest.
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2. The demand and supply functions for two interdependent goods X and Y are givenbyQDX = 7 − 4PX + 2PYQSX = −6 + 4PX − PYQDY = 1 + PX − PYQSY = −4 − PX + 2PY(a) Find the market equilibrium condition for each good. (b) Express the equilibrium conditions in the matrix form Ax = b.(c) Find the inverse of matrix A. (d) Given your result in part (c), calculate the equilibrium prices. (e) What is the equilibrium quantity for goods X and Y ?
2. A two-sector macro-economic model satisfies the following structural equations:Y = C + I∗C = aY + bwhere 0 < a < 1 and b > 0 are parameters and I∗ denotes investment.(a) What are the exogenous and endogenous variables in this model? (b) Re-arrange this system of equations to express the endogenous variables in terms of the exogenous variables and parameters. (c) Express this system of equations in the matrix form Ax = b. (d) Show that the inverse of matrix A exists.
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
Chapter 1 Solutions
Microeconomics (13th Edition)
Ch. 1.1 - Prob. 1RQCh. 1.1 - Prob. 2RQCh. 1.1 - Prob. 3RQCh. 1.2 - Prob. 1RQCh. 1.2 - Prob. 2RQCh. 1.3 - Prob. 1RQCh. 1.3 - Prob. 2RQCh. 1.3 - Prob. 3RQCh. 1.3 - Prob. 4RQCh. 1.3 - Prob. 5RQ
Ch. 1.4 - Prob. 1RQCh. 1.4 - Prob. 2RQCh. 1.4 - Prob. 3RQCh. 1.4 - Prob. 4RQCh. 1.5 - Prob. 1RQCh. 1.5 - Prob. 2RQCh. 1.5 - Prob. 3RQCh. 1.A - Prob. 1RQCh. 1.A - Prob. 2RQCh. 1.A - Prob. 3RQCh. 1.A - Prob. 4RQCh. 1.A - Prob. 5RQCh. 1.A - Prob. 6RQCh. 1.A - Prob. 7RQCh. 1.A - Prob. 8RQCh. 1.A - Prob. 9RQCh. 1.A - Prob. 10RQCh. 1.A - Prob. 11RQCh. 1.A - Prob. 1SPACh. 1.A - Prob. 2SPACh. 1.A - Prob. 3SPACh. 1.A - Prob. 4SPACh. 1.A - Prob. 5SPACh. 1.A - Prob. 6SPACh. 1.A - Prob. 7SPACh. 1.A - Prob. 8SPACh. 1.A - Prob. 9SPACh. 1.A - Prob. 10SPACh. 1.A - Prob. 11SPACh. 1.A - Prob. 12APACh. 1.A - Prob. 13APACh. 1.A - Prob. 14APACh. 1.A - Prob. 15APACh. 1.A - Prob. 16APACh. 1.A - Prob. 17APACh. 1.A - Prob. 18APACh. 1.A - Prob. 19APACh. 1.A - Prob. 20APACh. 1.A - Prob. 21APACh. 1.A - Prob. 22APACh. 1.A - Prob. 23APACh. 1 - Prob. 1SPACh. 1 - Prob. 2SPACh. 1 - Explain how the following news headlines concern...Ch. 1 - Prob. 4SPACh. 1 - Prob. 5SPACh. 1 - Prob. 6SPACh. 1 - Prob. 7APACh. 1 - Prob. 8APACh. 1 - Prob. 9APACh. 1 - Prob. 10APACh. 1 - Prob. 11APACh. 1 - Prob. 12APACh. 1 - Prob. 13APA
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