Answered: 22) Determine using the Simplex…

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 following linear programs (LPs) using the simplex algorithm. • For each tableau you obtain, write the associated BFS and its objective value. • For each LP, find the complete optimal solution set and write it using appropriate mathematical notation. Use only the information in the tableaux to justify your answer. maximize z(x1, x2, x3) = subject to -2x1 + 4.x3 + 2.x3 0
Which one is the optimal solution of given linear programming model? Max Z = X1 + X2 s.t. 8X1 + 6X2 12 X2 2 1 2X2 < 6 X1, X2 0. OA. X1= 9/4, X2 = 1, Max Z-13/4 O B. X1=3/ 2, X2 =1, Max Z-5/2 OC X1=6/8, X2 =3, Max Z-15/4 OD. X1=0, X2 = 3, Max Z=3 Seçimi Sıfırla
4. Solve the following LP problem using the simplex algorithm for maximum tableaus: Maximize: f(x1, x2, 3) = 1 + 2x2 + 2x3 subject to ₁+ 2x2 + 2x3 ≤ -4 2x1 + 3x3 ≤ 5 2x1x2 + x3-4 X1, X2, X3 20
A truck must deliver furniture to stores located in five different cities A, B, C, D, and E. The truck must start and end its root at a period the time (in hours) for travel between the cities is given in the figure below. Find an optimal tour for those traveling salesman problem and give its cost in hours. (Hint: the edge AD is part of an optimal tour.) E Tour: +8 D A C Cost in hours: B
a) is your colleague correct in their assertion? if not, how would you explain to them why this tableau does not offer the optimal solution? b) if this tableau yields the optimal solution, what is it? if not, identify the next pivot element according to the simplex algorithm
oll Find the optimal Solution For the Following linear programming model Using Big-M- method) Max. Z=6x1 + 4x2 sub.to 2X1+3X28 X1 + X 2 X 4 X1, X2 70
Help!
In a binary integer programming model, which of the following constraints is needed if for the options X1 and X2, option X2 can only be undertaken if option X1 is undertaken? a.x1 + x2 ≤ 1 b.]x2 ≤ x1 c.x1 – x2 = 1 d.x1 – x2 ≤ 1 e.x1 ≤ x2
Qq.41. Subject :- Advance Mathamatics
2. Suppose that we are carrying out the simplex algorithm on a linear program in standard inequality form (with 3 variables and 4 constraints) and suppose that we have reached a point where we have obtained the following tableau. Apply one more pivot operation, indicating the highlighted row and column and the row operations you carry out. What can you conclude from your updated tableau? X1 x2 X3 S1 S2 S3 S4 55 S1 -2 0 1 10 0 0 3 3 0 -20 1 2 0 6 ུཚ་ 1 1 -300 1 0 2 -30 2 0 0 -1 1 4 -20 11 00-40-8

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22) Determine using the Simplex algorithm the optimal solution to the following linear programming problem: max s.t. X₁ + 3x₂ + 5x3+ 2x4 X₁ + 2x₂ + 3x3 + X4 ≤ 3 2x1 + x2 + x3 + 2x4 ≤4 X1, X2, X3, X4 20