Use Technology to Solve the System of Equations $$\begin{aligned}4 x - 2 y + z + v & = 90 \\3 y + 3 z - 4 v & = 9 \\2 x + 4 y - v & = 18 \\x + 3 y + 3 z & = 9\end{aligned}$$

question 51

Multiple Choice

Use technology to solve the system of equations. $$\begin{aligned}4 x - 2 y + z + v & = 90 \\3 y + 3 z - 4 v & = 9 \\2 x + 4 y - v & = 18 \\x + 3 y + 3 z & = 9\end{aligned}$$

• A) \(\left( \frac { 536 } { 295 } , - \frac { 179 } { 295 } , \frac { 82 } { 295 } , - \frac { 134 } { 295 } \right)\)
• B) \(\left( \frac { 4,824 } { 295 } , - \frac { 1,611 } { 295 } , \frac { 738 } { 295 } , - \frac { 1,206 } { 295 } \right)\)
• C) \(\left( \frac { 536 } { 245 } , - \frac { 179 } { 245 } , \frac { 82 } { 245 } , - \frac { 134 } { 245 } \right)\)
• D) \(\left( \frac { 4,824 } { 245 } , - \frac { 1,611 } { 245 } , \frac { 738 } { 245 } , - \frac { 1,206 } { 245 } \right)\)
• E) \(\left( \frac { 4,724 } { 245 } , - \frac { 1,711 } { 245 } , \frac { 638 } { 245 } , - \frac { 1,106 } { 245 } \right)\)

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Definitions:

Flexible Budgeting

A budget that adjusts to changes in activity levels or other factors affecting costs, providing a more accurate comparison to actual results.

Unit Variable Costs

Costs that vary directly with the level of production or output, such as materials and labor, calculated on a per unit basis.

Static Budget

A financial plan that does not change or adjust over the period, even when there are significant changes in the levels of activity.

Variable Costs

Expenses that change in proportion to the level of activity or production volume.