Q2) Using Graphical Method to determine the optimalvalue of X1 & X2 that maximize value of Z,Max. Z = 5 X1 + 14 X2Subject to;X1 + 3 X2 < 9,3 X1 + X2 < 9,4X1 <8Where X1, X2 > 0

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Answered: Q2) Using Graphical Method to determine…

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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3. The vertex, x-intercepts, y-intercept, and line of symmetry for f(x)= 2.x² +4x – 3 are: -2-V10 -2+ V10 а. У(, -5); ,0 |; (0,-3); x=-1. 2 2.01:(0.): -2-V10 -2+ V10 b. V(-1,-5); ,0 |; (0,3); x=-1. 2 c. V(-1,-5); 2 -2-V10 -2+ V10 ,0 ,0 |; (0,–3); x=-1. 2 -2-V10 -2+y10 d. V(-1,5); ,0 |; (0,–3); x=-1. 2 e. V(-1,-5); -2- V10 -2+ V10 ,0 |; (0,–3); x=1. 2
Q1.- a) Consider the following optimization problem: min 5x1 – 6x2 + 4x3 s.t 2x1 +3x2 -x3<-2 -x1 +2x2 +2x3 <3 x1,x2,x3 20 Show graphically that the dual of this problem is unbounded. What does this say about the primal optimization problem?
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Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max. Z = 5 X1 + 14 X2 Subject to; X1 + 3 X2 < 9, 3 X1 + X2 < 9, 4X1 <8 Where X1, X2 2 0