2. Solve the following linear programming problem by the simplex algorithm. Maximize 2.xi + x2 subject to Xi + x2 < 2 3x1 + x2 < 3 X1, x2 > 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Solve the following linear programming problem by the simplex algorithm.
Maximize 2.xi + x2
subject to
Xi + x2 < 2
3.x1 + x2 < 3
X1, x2 > 0
3. Show that x =
[0 1]" is a local minimizer of
f(x1, x2) = 11 –
subject to
(x1 – 1)? + x < 2
X1 + 2x2 > 1
by demonstrating that [0 1]T satisfies the sufficient conditions presented in the
course.
Transcribed Image Text:2. Solve the following linear programming problem by the simplex algorithm. Maximize 2.xi + x2 subject to Xi + x2 < 2 3.x1 + x2 < 3 X1, x2 > 0 3. Show that x = [0 1]" is a local minimizer of f(x1, x2) = 11 – subject to (x1 – 1)? + x < 2 X1 + 2x2 > 1 by demonstrating that [0 1]T satisfies the sufficient conditions presented in the course.
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