The Following Table Shows Sales of Recreational Boats in the United

question 166

Multiple Choice

The following table shows sales of recreational boats in the United States during the period 1999-2001. $$\begin{array} { | l | l | l | } \hline & \text { Motorboards } & \text { Jet Skis } \\\hline 1999 & 310,000 & 110,000 \\\hline \text { Increase in } 2000 & 9,000 & 0 \\\hline \text { Increase in } 2001 & - 40,000 & - 40,000 \\\hline\end{array}$$
Write the matrix algebra formula that will find the sales in each category.

• A) \(\left[ \begin{array} { l }
• 310,000 \\
• 110,000
• \end{array} \right] + \left[ \begin{array} { c }
• 9,000 \\
• - 40,000
• \end{array} \right] + \left[ \begin{array} { c }
• 0 \\
• - 40,000
• \end{array} \right]\)
• B) \(\left[ \begin{array} { l l l }
• 310,000 & 110,000
• \end{array} \right] + \left[ \begin{array} { l l }
• 9,000 & 0
• \end{array} \right] - \left[ \begin{array} { l l l }
• - 40,000 & - 40,000
• \end{array} \right]\)
• C) \(\left[ \begin{array} { l l l }
• 310,000 & 110,000
• \end{array} \right] + \left[ \begin{array} { l l }
• 9,000 & 0
• \end{array} \right] + \left[ \begin{array} { l l l }
• - 40,000 & - 40,000
• \end{array} \right]\)
• D) \(\left[ \begin{array} { l l l }
• 310,000 & 110,000
• \end{array} \right] + \left[ \begin{array} { l l }
• 9,000 & - 40,000
• \end{array} \right] + \left[ \begin{array} { l l }
• 0 & - 40,000
• \end{array} \right]\)
• E) \(\left[ \begin{array} { l }
• 310,000 \\
• 110,000
• \end{array} \right] + \left[ \begin{array} { c }
• 9,000 \\
• 0
• \end{array} \right] + \left[ \begin{array} { l }
• 40,000 \\
• 40,000
• \end{array} \right]\)

---

Definitions:

Contribution Margin

The amount of revenue remaining after deducting variable costs, which can be used to cover fixed costs and contribute to profit.

Fixed Costs

Costs that do not change with the level of production output, such as rent, salaries, and insurance.

Variable Selling

Costs that change in proportion to the volume of goods or services sold.

Administrative Expense

Costs related to the general operation of a company that are not directly tied to a specific department or product, like salaries of executive officers and support staff.