Algebra Consider the feasible region in R³ defined by the inequalities
−x1₁+x1₂ ≥ 1
2x1+x2-x3 ≥ −2, along with x₁ ≥ 0, x2 ≥ 0 and x3 > 0. (i) Write down the linear system obtained by introducing non-negative slack variables x4 and x5. (ii) Write down the basic solution corresponding to the variables x2 and x3. (iii) Explain whether the solution corresponds to a vertex of the fea- sible region. If it does then find the vertex.