College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.1 - Page 529: 66

Answer

a. Equilibrium quantity : 20,000 Equilibrium price = $\$ 1000$ b. $\$ 1000\quad...\quad 20,000\quad...\quad 20,000$

Work Step by Step

Find x and p when Demand = Supply: $\left\{\begin{array}{l} p=-50x +2000\\ p=50x \end{array}\right. $ Adding the two equations, $2p=2000\qquad/\div 2$ $p=$1000 (dollars) Back substitute into $p=50x$, $1000=50x\qquad/\div 50$ $x=20$ (thousands) Equilibrium quantity : 20,000 Equilibrium price = $\$ 1000$ b. When rents are $\underline{\$ 1000}$ per month, consumers will demand $\underline{20,000}$ apartments and suppliers will offer $\underline{20,000}$ apartments for rent
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