The vector $\mathbf { u } = \langle 3800,5400 \rangle$ gives the number of units of two models of laptops produced by a company.The vector $\mathbf { v } = \langle 1350,1000 \rangle$ gives the prices (in dollars)of the two models of laptops,respectively.Identify the vector operation used to increase revenue by 3.5%.
A) $\mathbf { u } \cdot ( 1.035 ) \| \mathbf { v } \|$
B) $1.035 ( \mathbf { u } \cdot \mathbf { v } )$
C) $1.035 \left\| \mathbf { u } ^ { . } \mathbf { v } \right\|$
D) $1.035 \| \mathbf { u } \| \cdot \mathbf { v }$
E) $1.035 ( \mathbf { u } + \mathbf { v } )$

Question

Quizplus · Accepted Answer

To increase revenue by 3.5%, you multiply the current revenue by 1.035. The current revenue is found by the dot product of $\mathbf{u}$ and $\mathbf{v}$, representing the total sales of each laptop model multiplied by their respective prices. Therefore, $1.035 ( \mathbf{u} \cdot \mathbf{v} )$ correctly applies this increase to the total revenue.

The Vector u=⟨3800,5400⟩\mathbf { u } = \langle 3800,5400 \rangleu=⟨3800,5400⟩ Gives the Number of Units of Two Models of Laptops

The Vector $\mathbf { u } = \langle 3800,5400 \rangle$ Gives the Number of Units of Two Models of Laptops