Precalculus (6th Edition) Blitzer

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

Chapter 6 - Section 6.7 - The Dot Product - Exercise Set - Page 793: 51


The dot product is $\$1617$.

Work Step by Step

The dot product of $\mathbf{v}$ and $\mathbf{w}$ is: $\begin{align} & \mathbf{v}\cdot \mathbf{w}=\left( 240\mathbf{i}+300\mathbf{j} \right)\cdot \left( 2.90\mathbf{i}+3.07\mathbf{j} \right) \\ & =240\left( 2.90 \right)+300\left( 3.07 \right) \\ & =696+921 \\ & =1617 \end{align}$ This means that by selling $240$ gallons of regular gas for a price of $\$2.90$ per gallon and $300$ gallons of premium gas at a price of $\$3.07$ per gallon has a total revenue of $\$1617$.
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