In the following problem, a minimization problem, the corresponding dual problem, and the final simplex tableau in the solution of the dualproblem are given.Minimize C=15x, +36x, Maximize P=60y₁ +852subject to 2x, +5x2 260 subject to3x₁ +7x₂ 285X₁, X₂ 202y, +3y₂ ≤ 155y₁ +7y₂ $36V₁: Y₂20a. Find the optimal solution of the dual problemMaximum of P ==Y₁ =Y2 =У1 Уг ху *2 р01 520 310-7 30 300 5 10 1 435

Given minimization problem is , Minimize C = 15x1+36x2 subject to constraints ,…

Answered: In the following problem, a…

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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Work through the simplex method (in algebraic form) step by step to solve the following problem. Maximize Z = x1 + 2x2 + 2x3, subject to 5x1 + 2x2 + 3x3 ≤ 15 x1 + 4x2 + 2x3 ≤ 12 2x1+ x3 ≤ 8 and x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.
Solve the given linear programming problem using the table method. The table of basic solutions is provided. Maximize P= 15x, + 8x2 subject to X, + X2 56 Xq + 4x2 s 12 X1, X2 20 x1 S2 Feasible? Yes 6. 0. 12 No: Yes 6. -12 9. Yes No 12 4 -6 0. Yes
Use the Simplex method to solve this problem when a = 1. Hint: does the LPP have an optimal solution in this case?
The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. X1 X2 135 4 $1 1100 3223 1 -5 -1 -3 NOO $2 0 0 19 1 0 42 0 120 = The maximum is when x₁ = X2, X3 = 0, S₁ = 0, and $2 = . (Type integers or simplified fractions.)
Solve the linear programming problem by the simplex method. Maximize P = 16x + 13y subject to x + y ≤ 12 3x + y ≤ 30 10x + 7y ≤ 70 x ≥ 0, y ≥ 0 The maximum is P = at (x, y) = .
Solve the linear programming problem.Minimize Z = 42x + 10ysubject to2x + 2y ≥ 80x + 6y ≥ 200x, y ≥ 0
Solve the linear programming problem by the simplex method. Minimize 5x + y subject to the constraints shown on the right. The minimum value of Mis (Type integers or fractions.) which is attained for x = and y = x + y2 3 4x ≥ 11 x20, y20
can you amswer d,e?
The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. X2 X3 4 4 2 3 X₁ 1 4 3 -1 $₁ 1 0 0 $2 0 1 0 Z 0 0 1 16 60 The maximum is when x₁ = x₂ = x3 = . $₁=₁ and $2 = | (Type integers or simplified fractions.)
Give the conditions for Simplex method to be applied, then find the optimal solution of the following problem: Z = 3x1 + x2 2.x1 – x2 36 3x, +9x, 5 45 X1, x2 20 Maximize subject to
Consider the following linear programing problem: Maximize Z = 2X1 + 4X2 + 3X3 Subject to: 3X₁ +4X2+2X3 ≤ 60 2X₁ + X2 + 2X3 ≤ 40 X₁ + 3X2 + 2X3 X₁, X2, X3 ≥ 0 ≤80 Solve the problem using the Simplex Method in tabular form. (All tableaus and calculations must be shown).

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