Solve the Problem $R$ Is the Parallelepiped Enclosed by the Planes $5 x + y - z = 1,5 x + y - z = 3 , - x + 8 y + z = - 2 , - x + 8 y + z = 5$

question 144

Multiple Choice

Solve the problem.
-Evaluate


where $R$ is the parallelepiped enclosed by the planes $5 x + y - z = 1,5 x + y - z = 3 , - x + 8 y + z = - 2 , - x + 8 y + z = 5$ $x - y + 2 z = - 1 , x - y + 2 z = 6$

• A) \(\frac { 45 } { 19 }\)
• B) \(\frac { 256 } { 95 }\)
• C) \(\frac { 324 } { 95 }\)
• D) \(\frac { 294 } { 95 }\)

---

Definitions:

Return on Investment

A measure of the financial gain or loss on an investment relative to the amount of money invested, expressed as a percentage.

Residual Income

The income that an individual or business has after all personal debts and expenses, including the cost of capital, have been paid.

Investment Center

A division within a corporation that directly contributes to the company's profit through its investments and capital management.

Return on Investment

A financial ratio that calculates the gain or loss generated on an investment relative to the amount of money invested, expressed as a percentage.