Find the Product and Simplify $\frac { x ^ { 2 } + 8 x + 12 } { x ^ { 2 } + 11 x + 18 } \cdot \frac { x ^ { 2 } + 9 x } { x ^ { 2 } - 2 x - 48 }$

question 22

Multiple Choice

Find the product and simplify.
- $\frac { x ^ { 2 } + 8 x + 12 } { x ^ { 2 } + 11 x + 18 } \cdot \frac { x ^ { 2 } + 9 x } { x ^ { 2 } - 2 x - 48 }$

• A) \(\frac { x } { x ^ { 2 } + 11 x + 18 }\)
• B) \(\frac { x ( x + 9 ) } { x - 8 }\)
• C) \(\frac { x } { x - 8 }\)
• D) \(\frac { 1 } { x - 8 }\)

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Definitions:

Marginal Product

The additional output produced as a result of using one more unit of a particular input, keeping other inputs constant.

Total Product

The total quantity of output produced by a firm from a given quantity of inputs during a specific period of time.

Fixed Cost

Any cost that in total does not change when the firm changes its output.

Firm's Output

The total quantity of goods or services produced by a company within a specified period.