Solve Each System of Equations Using Matrices (Row Operations) $$\begin{array} { l } x + 3 y - 2 z - w = 27 \\4 x + y + z + 2 w = 14 \\- 3 x - y - 3 z - 2 w = - 1 \\x - y - 3 z - 2 w = 11\end{array}$$

question 176

Multiple Choice

Solve each system of equations using matrices (row operations) . If the system has no solution, say that it is inconsistent.
- $$\begin{array} { l } x + 3 y - 2 z - w = 27 \\4 x + y + z + 2 w = 14 \\- 3 x - y - 3 z - 2 w = - 1 \\x - y - 3 z - 2 w = 11\end{array}$$

• A) \(\{ ( 27,14 , - 1,11 ) \}\)
• B) \(\{ ( 3,5 , - 5,1 ) \}\)
• C) \(\{ ( 2,7 , - 9,3 ) \}\)
• D) \(\{ ( 3 + w , 5 - 2 w , - 5 + 2 w , w ) \}\)

---

Definitions:

Inventory Period

The amount of time it takes for a company to sell through its current stock of inventory.

Accounts Receivable Period

The average number of days that it takes a company to collect payments after a sale has been made, a critical component of managing cash flow.

Accounts Payable Period

The average number of days it takes for a business to pay its suppliers and vendors.

Inventory Period

The average time it takes for a company to convert its inventory into sales or the duration of the inventory cycle.