Convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of thee-system. For each basic solution, indicate whether or not it is feasible.Write the associated linear equation for the inequality x, +x, s9. Use s, as the slack variable.X2 s 9X1 + 6x, s 24X1 +(Type an equation. Do not factor.)Write the associated linear equation for the inequality x, + 6x, s24. Use s, as the slack variable.X1, X2 2 0(Type an equation. Do not factor.)Construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is feasible.X4X2S1S2Enter your answer in each of the answer boxes.Save for Later

Name: Convert the given i-system to an e-system using slack variables. Then
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of thee-system. For each basic solution, indicate whether or not it is feasible.Write the associated linear equation for the inequality x,

Given the i-system is x1+x2≤9x1+6x2≤24x1,x2≥0Now Use s1 as the slack variable So, The associated linear equation for the inequality x1+x2≤9 is x1+x2 +s1=9 ....1and Use s2 as the slack variable So, The associated linear equation for the inequality x1+6x2≤24 isx1+6x2+s2=24 ....2Now 1 given, x1=0,x2=0 then x1+x2+s1=9 ⇒0+0+s1=9 s1=9 and x1+6x2+s2=24⇒0+0+s2=24s2=24 2 given, x1=0,s1=0 then x1+x2+s1=9 ⇒0+x2+0=9 x2=9 and x1+6x2+s2=24⇒0+6×9+s2=24s2=24-54s2=-303 given x1=0, s2=0x1+6x2+s2=24 ⇒0+6x2+0=246x2=24x2 =4x1+x2+s1=9⇒0+4+s1=9s1=9-5s1=44 given x2=0, s1=0 thenx1+x2+s1=9⇒x1+0+0=9x1=9x1+6x2+s2=24⇒9+0+s2=24s2=24-9s2=155 given x2=0, s2=0 thenx1+6x2+s2=24⇒x1+0+0=24x1=24x1+x2+s1=9⇒24+0+s1=9s1=9-24s1=-156 given s1=0, s2=0 thenx1+x2=9x1+6x2=24on solving these equation, we getx1=6, x2=3Therefore, 1,3,4,6 are feasible because it is satisfy all constraints and non negative condition.and 2,5 are not feasible because it does not satisfy the non negative condition.Now a table of all basic solution of the e-system is