Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 820: 77

Answer

a. equilibrium quantity $1000$ gallons; equilibrium price $4$ dollars per gallon. b. $4\ dollars$, $1000$, $1000$.

Work Step by Step

a. To solve the system, let $ –0.002x + 6=0.001x + 3$ We have $0.003x=3$ and $x=1000$ Thus, the equilibrium quantity is $1000$ gallons. At this value, we have the equilibrium price at $p=0.001(1000)+3=4$ dollars per gallon. b. Based on the above results, we can complete the sentence as: If unleaded premium gasoline is sold for $4\ dollars$ per gallon, there will be a demand for $1000$ gallons per day and $1000$ gallons will be supplied per day.
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