Perform the Indicated Operations and Simplify the Result $$\frac { \frac { 12 } { 13 - x } + \frac { 13 } { x - 13 } } { \frac { 4 } { x } + \frac { 9 } { x - 13 } }$$

question 180

Multiple Choice

Perform the indicated operations and simplify the result. Leave the answer in factored form.
- $$\frac { \frac { 12 } { 13 - x } + \frac { 13 } { x - 13 } } { \frac { 4 } { x } + \frac { 9 } { x - 13 } }$$

• A) \(- \frac { x } { 13 x - 52 }\)
• B) \(\frac { x } { 13 x - 52 }\)
• C) \(\frac { 25 x } { 13 x - 52 }\)
• D) \(- \frac { 25 x } { 13 x - 52 }\)

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Definitions:

Production Function

An equation that describes the maximum amount of output that can be derived from a set number of inputs.

Diminishing Marginal Product

The principle that says the marginal product of a factor of production decreases as the quantity of the factor is increased, holding all else constant.

Economies of Scale

Cost advantages reaped by companies when production becomes efficient, as the scale of production and the cost per unit of production decrease.

Average Total Cost

The total cost of production divided by the number of units produced, representing the per-unit cost of production.