Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 1 - Section 1.2 - Functions and Models - Exercises - Page 74: 42b

Answer

Shortage of $11$ million rides per day.

Work Step by Step

We expect a shortage, because $\overline{\overline{Z}}\ 1.00$ is below the equilibrium price of $\overline{\overline{Z}}\ 2.00$. When p=$1$, Demand:$\quad\left[\begin{array}{l} q=31(1^{-0.49})\\ q=31 \end{array}\right]\quad$ Supply: $\left[\begin{array}{l} q=2.5(1)+17.5\\ q=20 \end{array}\right]$ The demand is $31-20=11$ million rides greater than the supply; that is, there is a shortage of $11$ million rides per day.
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