Identify the optimal solution from set of equations


Maximize Z=3x1 + x2 + 4x3,
subject to,

6x1 + 3x2 + 5x3 <=25
3x1 + 4x2 + 5x3 <= 20

and,

x1>=0, x2>=0, x3>=0.

The corresponding final set of equations yielding the optimal solution is

(0) Z + 2x2 + 1/5x4 + 3/5x5 = 17

(1) x1 - 1/3x2 + 1/3x4 - 1/3x5 = 5/3

(2) x2 + x3 - 1/5x4 + 2/5x5 =3

Question:
(a) Identify the optimal solution from this set of equations.

 

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Operation Management: Identify the optimal solution from set of equations
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