Suppose That You Are Solving a System of Three Linear $$\left[ \begin{array} { r r r r } 1 & - 8 & 4 & 17 \\0 & 1 & 2 & 10 \\0 & 0 & 0 & 12\end{array} \right]$$

question 42

Multiple Choice

Suppose that you are solving a system of three linear equations by the row echelon method and obtain the follon augmented matrix.
$$\left[ \begin{array} { r r r r } 1 & - 8 & 4 & 17 \\0 & 1 & 2 & 10 \\0 & 0 & 0 & 12\end{array} \right]$$
What conclusion can you draw about the solutions of the system?

• A) There is not enough information to draw any conclusion about the solutions of the system.
• B) The system has infinitely many solutions.
• C) The system has exactly one solution.
• D) The system has no solutions.

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Definitions:

Raw Materials Quantity Variance

The difference between the expected amount of raw materials required for production and the actual amount used, evaluated in terms of cost.

Labor Rate Variance

The difference between the actual cost of direct labor and the expected (or standard) cost, based on the standard hours worked and standard labor rate.

Variable Overhead Rate Variance

The difference between the actual variable overhead incurred and the expected variable overhead based on standard cost.

Materials Price Variance

The difference between the actual cost of raw materials and the standard or expected cost, multiplied by the quantity of materials purchased.