Løs frac{1000x_{1}+900x_{2}}{frac{7000a+90000+300x_{1}-400x_{2}}{2}}geq422

$$\frac { 1000 x _ { 1 } + 900 x _ { 2 } } { \frac { 7000 a + 90000 + 300 x _ { 1 } - 400 x _ { 2 } } { 2 } } \geq 422$$

Løs for x_2

$$\left\{\begin{matrix}x_{2}=\frac{623x_{1}+14770a+189900}{853}\text{, }&x_{1}\neq \frac{-630a-8100}{67}\\x_{2}\in (\frac{3x_{1}}{4}+\frac{35a}{2}+225,\frac{623x_{1}+14770a+189900}{853}]\text{, }&x_{1}<\frac{-630a-8100}{67}\\x_{2}\in [\frac{623x_{1}+14770a+189900}{853},\frac{3x_{1}}{4}+\frac{35a}{2}+225)\text{, }&x_{1}>\frac{-630a-8100}{67}\end{matrix}\right,$$

Løs for x_1

$$\left\{\begin{matrix}x_{1}=\frac{853x_{2}}{623}-\frac{2110a}{89}-\frac{189900}{623}\text{, }&x_{2}\neq \frac{700a+9000}{67}\\x_{1}\in [\frac{853x_{2}}{623}-\frac{2110a}{89}-\frac{189900}{623},\frac{4x_{2}}{3}-\frac{70a}{3}-300)\text{, }&x_{2}<\frac{700a+9000}{67}\\x_{1}\in (\frac{4x_{2}}{3}-\frac{70a}{3}-300,\frac{853x_{2}}{623}-\frac{2110a}{89}-\frac{189900}{623}]\text{, }&x_{2}>\frac{700a+9000}{67}\end{matrix}\right,$$