Consider the following linear programming problem:Max Z= 120x₁ + 100x2Subject to: 3x₁ + 4x2 ≥ 810x₁ + 9x2 ≥ 622x1 + 3x2 ≤ 324x1 + 8x2 ≤ 52X1, X2 ≥ 0(non-negativity constraints)What is the slack or surplus associated with the second constraint in thecoordinate (7, 2)?20261418None of the above(constraint 1)(constraint 2)(constraint 3)(constraint 4)

We have given the LPP models as Max Z = 120x_{1} + 100x_{2} Subject to: 3x_{1} + 4x_{2} >= 8.…

Answered: Consider the following linear…

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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Consider a linear programming problem with the following constraints. constraint 1: 12X1 + 33X2 <= 54 constraint 2: 2X1 + 35X2 <= 134 constraint 3: X1 >= 4 Find the intersection of constraint 2 and constraint 3. What is the value of X2 at this point? Answer to 2 decimal places) (Don't Hand writing in solution) .
Use the simplex method to solve the linear programming problem. Maximize subject to: A. The maximum is when x₁ = ₁ X₂ = ₁ S₁ = (Type integers or simplified fractions.) B. There is no maximum. with z = 10x₁ + 12x2 , S₂ = 4x₁ + 2x₂ ≤24 6x₁ + x₂ ≤50 2x₁ + 2x₂ ≤26 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. X₁ ≥ 0, X₂ ≥ 0 and s3 =
R.H.S X1 X2 Хз S1 S2 S3 -4 -3 12 1 4 9. 1 4 R.H.S X1 X2 X3 S1 S2 S3 1 In the following, two Consecutive simplex Tableaus for a linear programming problem are shown. What is the value of b. 지기23 4
A: Find the solution to the following linear programming problem using the simplex method Max (Z)=50x1+60x2 Subjected to: 2x1+x2 < 300 3x1+4x2 ≤ 509 4x1+7x2 ≤ 812 x1,x220
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Consider the problemMaximize z = x1 + 5x2 + 3x3subject tox1 + 2x2 + x3 = 62x1 - x2 = 8x1, x2, x3 >= 0The variable x3 plays the role of a slack. Thus, no artificial variable is needed in the firstconstraint. In the second constraint, an artificial variable, R, is needed. Solve the problemusing x3 and R as the starting variables.
3. Convert the following Linear Programming problem into Standard LPP form. Minimize P = 5x1 - 10x2 + x3 Subject to: x1 - x2 + x3 = 120 Where x1, x2, x3 >=0
Solve the following linear programming problem. z = 2x + 7y 5x + 4y ≤ 20 8x + y ≤ 20 x ≥ 0, y 20 Maximize: subject to: The maximum value is The maximum occurs at the point (Type an ordered pair. If the maximum occurs at more than one point, type either answer. Type an integer or a fraction.)
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
Consider the following linear programming problem: Maximize 12X + 10Y Subject to: 4X + 3Y 0 Which of the following points (X, Y) could be a feasible corner point? (40, 48) O (120, 0) O (180,120) O (30,36)
Qq.41. Subject :- Advance Mathamatics

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