Find the maximum value of z = 3x1 + 2x + 4x3 Objective function subject to the constraints 3x, + 2x, + 5x3< 18 4x1 + 2x2 + 3x3< 16 Constraints 2x1 + x2 + x3² 4 where x,> 0, x, > 0, and x3 2 0.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Find the maximum value of
z = 3x1 + 2x2 + 4x3
Objective function
subject to the constraints
3x1 + 2x2 + 5x3< 18
4x1 + 2x2 + 3x3< 16
2x1 + x2 + x32 4
Constraints
where x1 2 0, x, z 0, and x3 0.
Transcribed Image Text:Find the maximum value of z = 3x1 + 2x2 + 4x3 Objective function subject to the constraints 3x1 + 2x2 + 5x3< 18 4x1 + 2x2 + 3x3< 16 2x1 + x2 + x32 4 Constraints where x1 2 0, x, z 0, and x3 0.
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