The vector $\mathbf { u } = \langle 2700,4700 \rangle$ gives the number of units of two models of laptops produced by a company.The vector $\mathbf { v } = \langle 1200,900 \rangle$ gives the prices (in dollars)of the two models of laptops,respectively.Use dot products to determine the revenue for these two laptops if the price of each is increased by 6%.
A)$7,664,400
B)$7,791,300
C)$7,918,200
D)$7,723,800
E)$7,768,800

Question

Quizplus · Accepted Answer

To find the revenue, first increase the prices by 6%: $\mathbf{v'} = \langle 1200 \times 1.06, 900 \times 1.06 \rangle = \langle 1272, 954 \rangle$. Then, calculate the dot product: $\mathbf{u} \cdot \mathbf{v'} = 2700 \times 1272 + 4700 \times 954 = 7,918,200$.

The Vector u=⟨2700,4700⟩\mathbf { u } = \langle 2700,4700 \rangleu=⟨2700,4700⟩ Gives the Number of Units of Two Models of Laptops

The Vector $\mathbf { u } = \langle 2700,4700 \rangle$ Gives the Number of Units of Two Models of Laptops