Solve the System by Using Any Method $$\begin{array} { l } \frac { x - 4 } { 4 } + \frac { y + 3 } { 3 } = 3 \\\frac { x - 2 } { 2 } + \frac { y - 3 } { 3 } = 2\end{array}$$

question 58

Multiple Choice

Solve the system by using any method. If a system does not have one unique solution, state whether the
system is inconsistent or whether the equations are dependent.
- $$\begin{array} { l } \frac { x - 4 } { 4 } + \frac { y + 3 } { 3 } = 3 \\\frac { x - 2 } { 2 } + \frac { y - 3 } { 3 } = 2\end{array}$$

• A) \(\{ ( 0,0 ) \}\)
• B) { } ; The system is inconsistent.
• C) \(\left\{ ( x , y ) \mid \frac { x - 4 } { 4 } + \frac { y + 3 } { 3 } = 3 \right\}\) The equations are dependent.
• D) \(\{ ( 4,6 ) \}\)

Analyze the principle of diminishing and negative returns and its effect on production.

Calculate average fixed cost (AFC), average variable cost (AVC), average total cost (ATC), and marginal cost (MC) from given data.

Understand the relationship between input quantities and maximum output production through the production function.

Identify the minimum points of average variable cost (AVC) and average total cost (ATC).

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