Find All Values of X Satisfying the Given Conditions $y _ { 1 } = \frac { 1 } { x + 4 } , y _ { 2 } = \frac { 1 } { x + 3 } , y _ { 3 } = \frac { - 1 } { x ^ { 2 } + 7 x + 12 }$

question 166

Multiple Choice

Find all values of x satisfying the given conditions.
- $y _ { 1 } = \frac { 1 } { x + 4 } , y _ { 2 } = \frac { 1 } { x + 3 } , y _ { 3 } = \frac { - 1 } { x ^ { 2 } + 7 x + 12 }$ , and the sum of $y _ { 1 }$ and 2 times $y _ { 2 }$ is $y _ { 3 }$ .

• A) \(\{ - 4 \}\)
• B) \(\{ 0 \}\)
• C) \(\{ 3 \}\)
• D) \(\varnothing\)

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Definitions:

Total Product

The overall quantity of output that a firm produces, typically over a specific period, given a certain level of input.

Marginal Product

The additional output that is produced by using one more unit of a particular input, assuming all other inputs remain constant.

Implicit Costs

The opportunity costs that arise from using resources that a company already owns for production, instead of earning revenue from these resources elsewhere.

Explicit Costs

Explicit costs refer to direct payments made to others in the course of running a business, such as wages, rent, and materials.