M _ { x } = R _ { A } x - | \frac { 10 \times ( x - 1 ) ^ { 2 } } { 2 } + | \frac { 10 ( x - 4 ) } { 2 }
Solve for M_x
M_{x}=R_{A}x-5\left(x-1\right)^{2}-|5\left(x-4\right)|
Solve for R_A
\left\{\begin{matrix}R_{A}=\frac{5x^{2}+|5\left(x-4\right)|+M_{x}-10x+5}{x}\text{, }&x\neq 0\\R_{A}\in \mathrm{R}\text{, }&M_{x}=-25\text{ and }x=0\end{matrix}\right.
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