Using simplex algorithm solve the following: Minimize f= 5x + 2y subject to 3x + 4ys 24; x-ys3; x+4y 24; and 3x +y23 where x is unrestricted in sign and y 0 Q.1

Q: 1. a. Show that this model has an unbounded solution by Big M Method. b. What can be changed to have…

A: According to the given information, it is required to first show that the given equation has…

Q: Solve y' = tet - 2y with y(0) = 0,0<t< 2, N = 10 using the Euler method algorithm. to fill in the…

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Q: Use the simplex algorithm to solve the following linear optimisation problem: maximise f(x1, x2, x3)…

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Q: Let 2 4 -1 |-7 5 3 A = 1 4 -9 -7 6 And B = -7 8.

A: The given matrix is

Q: To sdve systems in the Gaussion method 3X,-X3ニ-1 Xyt 5X 2-X3=-G - 3X q+6Xz+2X=11

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Q: Q3/ Use the graphical method to solve the following LP problem. Minimize Z=-x, + 2x₂ subject to the…

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Q: 3. Solve the following LP with simplex method: Minimize z = 3x1 + 2x2 + 3x3 x1 + 4x2 + x3 2 14 2x1 +…

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Q: 2.2. Solve the following linear programs using the simplex method. If the problem is t- dimensional,…

A: Given: Minimize: z=-5x1-7x2-12x3+x4 Subject to 2x1+3x2+2x3+x4≤38 3x1+2x2+4x3-x4≤55 x1,x2,x3,x4≥0

Q: Q3. Solve the following LP problem by using The Simplex Algorithm. (Keep loyal to the Simplex…

A: Problem is Max Z =  3 x1 + 5 x2 + 6 x3subject to2 x1 +  x2 +  x3 ≤ 4x1 + 2 x2 +  x3 ≤ 4x1 +  x2 + 2…

Q: Use the simplex algorithm to solve the following linear optimisation problem: maximise f(x1,x2, x3)…

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Q: Use Simplex Algorithm to determine the optimal solution of this LP problem. Maximize z = 2x1 − x2 +…

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Q: Qn4. The formation of loop for optimal solutions in a transportation problem should End with minimum…

A: To find: the condition for formation of loop for optimal solutions in a transportation problem.

Q: Use the two-phase simplex algorithm to solve the following problem or determine if it is infeasable.…

A: According to the given information it is required to solve the given problem:

Q: Use the simplex method to find x, 20 and x, 2 0 such that X1 + 5x2 2 25 X1 + X2 547 and such that z…

A: Given LPP is Max Z=12x1+10x2 Subject to, x1+5x2≥25 x1+x2≤47 x1, x2≥0

Q: Q#3: (i) Solve problem by first finding the dual and then using the simplex algorithm. Minimize (E c…

A: The dual will be:  maximize: 32x1+112x2+54x3 Subject to:  8x1+7x2+x3≤225x1+4x2+6x3≤180

Q: Solve the following LPP using Big M-Method. Max P = 3x1 - 2x2 Subject to 2x1 + x2 ≥ 3 x1 + 2x2 ≤ 2…

A: The given problem is to solve the given linear programming problem with given constraints by using…

Q: Use the simplex method to find x, 2 0 and x2 z 0 such that X, + 3x2 2 24 X, + X2 s 42 and such that…

A: Given two equations:x1+3x2≥24x1+  x2≤42Query is to find the valus of x1≥0, x2≥0such that z=12x1+10x2…

Q: Q#3: (i) Solve problem by first finding the dual and then using the simplex algorithm. Minimize (6)…

A: Since, only one(first) of the multiple question is supposed to be done, hence one one question will…

Q: Q1\\ Use the dual Simplex to solve the following LPP Minimize z = 2x1 + 3x2 + 4x3 + 5x4 subject to…

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Q: Solve the following linear programs (LPs) using the simplex algorithm. • For each tableau you…

A: Given linear problem is minimize  zx1, x2 =-x1-x2subject to,x1+x2 ≤4x1         ≤3         x2 ≤3x1,…

Q: Q#3: (i) Solve problem by first finding the dual and then using the simplex algorithm. Minimize (6)…

A: The given problem is. Min c=225y1+180y2s.t.      8y1+y2≥32           7y1+4y2≥112…

Q: Solve the optimization problem. Minimize F = 31x2 + 31y2 with xy2 = 16. F = -63.36

A: Given query is to find minimize F.

Q: 5. Use duality to show that the following LP has an optimal solution 2x1 - X2 Subject to 2x, -X2 - X…

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Q: min z= 4x1 + x2 3x1 + x2 = 3 4x1 + 3x2 > 6 xi + 2x2 0 s.t. X1,

A: Objective Function: Minimize: Z = 4X1 + 1X2 Subject to: 3X1 + 1X2 = 3 4X1 + 3X2 ≥ 6 1X1 + 2X2 ≤ 4…

Q: Minimize z = 22x1 + 44x2 + 33x3 subject to x1 + 2x2 + x3 > 3, x1 + x3 3, 3x1 + 2x2 + 2x3 8 using two…

A: Given LPP is  Minimize z=22x1+44x2+33x3Subject tox1+2x2+x3≥3x1+x3≥33x1+2x2+2x3≥8x1,x2,x3≥0 In order…

Q: Solve by Simplex method the following L. P. P. : Maximize : z = 7x + 5x2 Subject to : -X1 - 2x, 2-6…

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Q: Consider the LP problem: Maximize z = 2x1+3x2 subject to 2x1+x2 0. 1. Graph the feasible region for…

A: 1. Given Lp is, Max z=2x1+3x2Subject to,2x1+x2≤4x1+2x2≤5x1,x2≥0

Q: Solve the following LP in (((three different ways )))(use TORA for convenience). Which method…

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Q: (Dual simplex, Graphical solution method). Consider the following LP. (min)f(r) = 5x1 + 4x2 s.t. Iị…

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Q: Q1.- a) Consider the following optimization problem: min 5x1 – 6x2 + 4x3 s.t 2x1 +3x2 -x3<-2 -x1…

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Q: Solve the following LPP using Big M Method Minimize Z = 600x1 + 500 x2 Subject to 2x1 + x2 >= 80 x1…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Q#3: (i) Solve problem by first finding the dual and then using the simplex algorithm. Minimize (6)…

A: The LPP is given as Min c = 225y1+180y2 subject to 8y1+y2≥327y1+4y2≥112y1+6y2≥54y1 , y2≥0   Hence…

Q: ▪ Solve the following SLEs in a clean sheet of paper (preferably bond paper). ▪ Show a complete,…

A: Solution

Q: -pply Big-M method to solve the following L. P. P. : Maximize : z = x1 + 2x2 + 3x3 – X4 ubject to :…

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Q: (b) Find the maximum and minimum values of the function f(x1,..., Xn) subject to the constraint ||||…

A: Method of Lagrange multipliers: Maximize / minimize : f(x) Subject to the constraint : g(x)=0 Take a…

Q: Using simplex algorithm solve the following: Minimize f= 5x + 2y subject to 3x + 4ys 24; x-ys3; x+4y…

A: Given problem is: Min f=5x+2y Subject to 3x+4y≤24x-y≤3x+4y≥43x+y≥3 where x is unrestricted in sign…

Q: min 4a1 + 5xз 2x1 + x2 – 53 -3x1 subject to = 1 + 4x3 + x4 = 2 X; 2 0, i = 1, 2, 3, 4.

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Q: Generate the dual simplex iterations for the following problems (using TORA for convenience), and…

A: Dual Simplex Method Algorithm: Step1: Convert the problem to maximization if it is in minimization…

Q: Q2// Find the optimal point from the :mathematical model (by Big-M methods) Max Z-150 x +110x+280 x3…

A: We can solve this using Big-M methods

Q: 4. Use Big M method to solve the example. Minimize 2 = 2x1 + 3x2 Subject to 2x1 +x224 -xl + x2 s1…

A: The objective is to solve the linear programming problem Minimize Z=2x1+3x2 Subject to…

Q: Q2. Use cutting plane method to solve the integer programming problem Maximize 2x, + 3x2 -x1 +x25 5,…

A: Given equations are

Q: Consider the following optimization problem: minimize z(x) = 3x? + 5x + 20 subject to x < 10. a.…

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Q: Consider the linear program max 10x – y s.t. -5x + 3y < 15 3x – 5y < 8 x, y 20 Use the simplex…

A: Thanks for the question :) And your upvote will be really appreciable ;) Note:- While Solving the…

Q: Solve using the simplex algorithm. Maximize: 5x1 + 6x2 Subject to: x1 + 2x2 ≤ 8 3x1 + 2x2 ≤ 12 x1,…

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Q: b. Find all solutions, if any exist, by using Gauss – Jordan reduction method.

A: Follow the procedure given below.

Q: Use graphical method or the Simplex algorithm, solve the dual LP (that you find in Part A). Find…

A: Given: Let us consider the given Max  is 3y1+ 2y2 s.t   2y1+ y2+ y3   ≤   4        2y1+3 y2+ 3y3 ≤ 6…

Q: max 6x1 – 5x2 + 13 s.t. - r1 – 2x2 + 2rg < 16 2.x1 + 2x2 + x3 < 10 3r + 6x2 + 2x3 2 -30 13 urs (a)…

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Q: Use the simplex algorithm to solve the following linear optimisation problem:…

A: # since the question do  not mention which steps of algorithm that are presented in the course notes…

Q: 1. a. Show that this model has an unbounded solution by Big M Method. b. What can be changed to have…

A: Given Max Z = 3x1 + 6x2      Subject to 3x1 + 4x2 ≥ 12…

Q: 4- Write just the first table of Big-M method for the following problem Max Z= 2X₁ + X2 s.t. -3X1 +…

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