Solve the Problem $\left( \frac { 7 } { 3 } , \frac { 1 } { 3 } , - \frac { 5 } { 3 } \right)$

question 153

Multiple Choice

Solve the problem.
-Find the point on the line of intersection of the planes x + y + z = 1 and 3x + 2y + z = 6 that is closest to the origin.

• A) \(\left( \frac { 7 } { 3 } , \frac { 1 } { 3 } , - \frac { 5 } { 3 } \right)\)
• B) \(\left( \frac { 7 } { 3 } , - \frac { 1 } { 3 } , - \frac { 5 } { 3 } \right)\)
• C) \(\left( - \frac { 7 } { 3 } , \frac { 1 } { 3 } , \frac { 5 } { 3 } \right)\)
• D) \(\left( \frac { 7 } { 3 } , - \frac { 1 } { 3 } , \frac { 5 } { 3 } \right)\)

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Definitions:

Conversion Cost

Conversion cost is the sum of direct labor and manufacturing overhead costs incurred to convert raw materials into finished goods.

Product Cost

The expenses incurred to create a product, including direct materials, direct labor, and manufacturing overhead.

Direct Materials

Raw materials that can be directly traced to the manufacturing of a product.

Period Cost

Costs that are expensed in the period in which they are incurred, as opposed to being capitalized or included in the cost of goods sold.