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

question 51

Multiple Choice

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) \(1.035 ( \mathbf { u } + \mathbf { v } )\)

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Definitions:

Machine-Hours

A measure of production output or activity level, representing the total hours that machinery is operating over a specific period of time.

Markup

The difference between the cost of a good or service and its selling price, expressed as a percentage over the cost.

Variable Manufacturing Overhead

Costs that vary with production volume, including indirect materials, indirect labor, and other expenses that increase or decrease with output.

Direct Labor-Hours

The complete tally of hours that employees dedicate to the manufacturing process.