The vector $\mathbf { u } = \langle 3900,4000 \rangle$ gives the number of units of two models of laptops produced by a company.The vector $\mathbf { u } = \langle 1450,1000 \rangle$ gives the prices (in dollars)of the two models of laptops,respectively.Identify the vector operation used to increase revenue by 6%.
A)1.06(u + v)
B)1.06 $$\left\| \mathbf { u } ^ { . } \mathbf { v } \right\|$$
C) $\mathbf { u } ^. ( 1.06 ) \| \mathbf { v } \|$
D)1.06 $\left( \mathbf { u } ^ { . } \mathbf { v } \right)$
E)1.06 $\| \mathbf { u } \| ^ { . } \mathbf { v }$

Question

The vector $\mathbf { u } = \langle 3900,4000 \rangle$ gives the number of units of two models of laptops produced by a company.The vector $\mathbf { u } = \langle 1450,1000 \rangle$ gives the prices (in dollars)of the two models of laptops,respectively.Identify the vector operation used to increase revenue by 6%.
A)​1.06(u + v)
B)1.06 $$\left\| \mathbf { u } ^ { . } \mathbf { v } \right\|$$
C) $\mathbf { u } ^. ( 1.06 ) \| \mathbf { v } \|$
D)1.06 $\left( \mathbf { u } ^ { . } \mathbf { v } \right)$
E)1.06 $\| \mathbf { u } \| ^ { . } \mathbf { v }$

Quizplus · Accepted Answer

To increase revenue by 6%, we need to multiply the prices vector by 1.06. So the correct vector operation would be:
1.06 * [11ea99db_b40c_b36f_94ac_6984f8ca5c70_TB4590_11]
= [11ea99db_b40d_0192_94ac_edd75c14cc40_TB4590_11]

Then, to calculate the new revenue, we need to multiply the updated prices by the number of units produced and add the results:
revenue = u * p1 + v * p2
where u and v are the number of units produced and p1 and p2 are the prices of the two models.
So the correct answer is D.

The Vector u=⟨3900,4000⟩\mathbf { u } = \langle 3900,4000 \rangleu=⟨3900,4000⟩ Gives the Number of Units of Two Models of Laptops

The Vector $\mathbf { u } = \langle 3900,4000 \rangle$ Gives the Number of Units of Two Models of Laptops