Use the simplex method to solve the linear programming problem. ​ Maximize: z=2x1+x2 subject​ to: x1+3x2 ≤ 12   2x1+4x2 ≤ 4   x1+4x2 ≤ 4 with x1≥​0, x2≥0.   The maximum is _______ when x1= x2=

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the simplex method to solve the linear programming problem.

Maximize:
z=2x1+x2
subject​ to:
x1+3x2
12
 
2x1+4x2
4
 
x1+4x2
4
with
x1≥​0,
x2≥0.
 

The maximum is _______
when
x1=
x2=
s1=
s2=
s3=
 
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