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Consider the following linear program exercise is: max2x₁ + 3x₂ - 7x3 X1 +3x2+2x3 = 4 x1 + x₂ < 8 X1 X3-15 X1, x2 > 0 a) Find an optimal solution b) Do the Sensitivity analysis. Don't forget to write your conclusions!

Consider the following linear program exercise is: max2x₁ + 3x₂ - 7x3 X1 +3x2+2x3 = 4 x1 + x₂ < 8 X1 X3-15 X1, x2 > 0 a) Find an optimal solution b) Do the Sensitivity analysis. Don't forget to write your conclusions!

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the linear programming problem in the attached image (excel solver or simplex tableau). Here x3 is unrestricted, so we have to take: x3=(x’3-x”3), also introduce slack and artificial variables. 

Consider the following linear program exercise is: max2x₁ + 3x₂ - 7x3 X₁ +3x₂+2x3 = 4 x1 + x₂ < 8 X1 X3-15 X1, X2 > 0 a) Find an optimal solution b) Do the Sensitivity analysis. Don't forget to write your conclusions!
Transcribed Image Text:Consider the following linear program exercise is: max2x₁ + 3x₂ - 7x3 X₁ +3x₂+2x3 = 4 x1 + x₂ < 8 X1 X3-15 X1, X2 > 0 a) Find an optimal solution b) Do the Sensitivity analysis. Don't forget to write your conclusions!
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