Transformations between forms a Inequalities to equalities aax≥b台ax=b2+S,S1≥0 The newly introduced variable Si is called slack variable “ Unrestricted”to“ nonnegative constraint” 口x; unrestricted兮x;=S-tS≥0,t≥0Transformations between forms ◼ Inequalities to equalities: ❑ 𝒂𝒊 𝑇𝒙 ≥ 𝑏𝑖 ⇔ 𝒂𝒊 𝑇𝒙 = 𝑏𝑖 + 𝑠𝑖 , 𝑠𝑖 ≥ 0 ◼ The newly introduced variable 𝑠𝑖 is called slack variable ◼ “Unrestricted” to “nonnegative constraint”: ❑ 𝑥𝑖 unrestricted ⇔ 𝑥𝑖 = 𝑠– 𝑡, 𝑠 ≥ 0,𝑡 ≥ 0 10