Microeconomics For Today (MindTap Course List)
9th Edition
ISBN: 9781305507111
Author: Irvin B. Tucker
Publisher: Cengage Learning
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Chapter 13.6, Problem 1YTE
To determine
Reason why the predictions went wrong in the case of airline safety.
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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 13 Solutions
Microeconomics For Today (MindTap Course List)
Ch. 13.2 - Prob. 1YTECh. 13.5 - Prob. 1YTECh. 13.6 - Prob. 1YTECh. 13 - Prob. 1SQPCh. 13 - Prob. 2SQPCh. 13 - Prob. 3SQPCh. 13 - Prob. 4SQPCh. 13 - Prob. 5SQPCh. 13 - Prob. 6SQPCh. 13 - Prob. 7SQP
Ch. 13 - Prob. 8SQPCh. 13 - Prob. 9SQPCh. 13 - Prob. 10SQPCh. 13 - Prob. 11SQPCh. 13 - Prob. 12SQPCh. 13 - Prob. 1SQCh. 13 - Prob. 2SQCh. 13 - Prob. 3SQCh. 13 - Prob. 4SQCh. 13 - Prob. 5SQCh. 13 - Prob. 6SQCh. 13 - Prob. 7SQCh. 13 - Prob. 8SQCh. 13 - Prob. 9SQCh. 13 - Prob. 10SQCh. 13 - Prob. 11SQCh. 13 - Prob. 12SQCh. 13 - Prob. 13SQCh. 13 - Prob. 14SQCh. 13 - Prob. 15SQCh. 13 - Prob. 16SQCh. 13 - Prob. 17SQCh. 13 - Prob. 18SQCh. 13 - Prob. 19SQCh. 13 - Prob. 20SQ
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