14. Using the two-phase method, solve the following problem: Minimise 150x1 + 150x2 + 100x3 Subject to 2x1 + 3x2 + x3 24 3x1 +2x2 +x3 2 3 and x1, X2, X320 10 61 oldali

Q: 2. Solve the following system of linear equation 2x +y – 2z = 1 3x + 2y – 6z = 2 x + 5y + 5z = 3 6x…

A: Let us solve the given system using Gauss elimination and LU decomposition method in the next step.

Q: Solve the system d = dt with a1 (0) = 1 and æ2(0) = -1. %3D

A: The given system of differential equation: x1'x2'=   0-1-1   0 x1x2+t0  ;        x1(0)x2(0)=1-1

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A: Consider the given equation. x˙1=-x2                     1x˙2=x1+2u                2 Rewrite the…

Q: 6. Find a general solution to the system yi = y1 – 42 + y3 y2 = Y2 + 2y3 y3 = 5y3

A:

Q: 1) Solve the following system using the inverso natriy method: 2x, - X2 = 0 3xz = -5

A: Solve using the concept of inverse matrix

Q: 2. The tableau is not optimal for either maximization or a minimization problem. Thus, when a…

A: Basic variables are the variables mentioned in the Basis column in the table, therefore X1, X3, X8…

Q: Solve the given problem using the simplex method. Maximize: P = 400x + 200y Subject to: x + y = 30…

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Q: Find the general solution of the following Nonhomogeneous System: |= 4 6r +2 9r+1

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Q: a) By using Naïve Gauss Elimination. 2x + 4y – 2z = 0 x- y = 2 x + y+ 2z = 4

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Q: Solve the following LPP by graphical and simplex method. Maximise Z = 8Xı +16X2 Subject to Xi +X2<…

A: max Z=8x+16ysuch that x+y≤282y≤2073x+6y≤982 in equation           equation                   points…

Q: 2. Solve the systems of LDE using the method of operator (D² – 3)x – 4y = 0 x + (D2 + 1)y = 0

A:

Q: 2. Solve the systems of LDE using the method of operator (D² - 3)x - 4y = 0 x + (D² + 1)y = 0

A: We will use standard method.

Q: Refer to the System of Linear Equations below. 4x1-x2-x3=3 -2x1 +6x2 +x3=9 -X1 +X2 + 7x3 = -6 Using…

A: The main objective is to solve the given sysytem of equation by Jacobi method and find value of x3…

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A: Let the mixture contain x kg of food A and y kg of food B. Make the following table from the given…

Q: 6. Maximize 10x +35y subject to 8x + 6y < 48 (board-feet of lumber) 4x+y 20 (hours of carpentry) y 2…

A: Given: max 10x+35ysubject to8x+6y≤484x+y≤20y≥5x,y≥0

Q: -3x1 + x2 + 12x3 = 50 6x1 – x2 – x3 = 3 6x1 + 9x2 + x3 = 40

A: Here we consider X1=x,  X2=y, X3=z (for Easier to solve) .  So,

Q: 7. Use the gauss-seidel method to solve the following system until the percent relative error fall…

A: System is diagonally dominant,so gauss seidal applicable.

Q: 5. Find a general solution of the linear system. x' = 2x + y ,' = x + 2y – e2t %3D -

A:

Q: This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of…

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Q: Find the optimal Solution by 2. Two-Phase method MAX Z = 5x1 + 9x2 - 18x3 subject to 5x1 + 16x2 +…

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Q: 2.5OLVE BY GAUSS ELIMINATION METHOD 2x - Y+ 32 =-3 3X +3Y - Z= 10 X- Y + Z = 4

A:

Q: maximise

A:

Q: Find general solutions of the following systems using variation of parameters

A: In this question, we solve the system of differential equations by using the variation of parameter…

Q: : Solve the following linear system using two iteration of G-S method. бх1 + 2х, — Зхз —D 5.7 -7x2 +…

A:

Q: Solve the following LP model using the simplex method.  Minimize z = −4x1 + 6x2 − 2x3 + 4x4…

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Q: Princess Manufacturing Company produces two types of tarpaulin products for its customers, namely,…

A: The following steps are used to find the solution of the linear programming problem by simplex…

Q: 1. Draw the following: a. K. b. a 2-regular simple graph c. simple graph with v = 5 & e = 3 011 GLIO…

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: 4. I Find the general solution of the given system: dx1 dt dx2 dt = 7x1 +4x₂2 =-3x1-x2

A:

Q: A poultry producer wants to mix corn meal and soybean meal so as to provide his chickens with a diet…

A: This is a minimization problem. Let the cheapest nutritionally adequate diet consist of c pounds of…

Q: Use Gaussian Elimination Method. 2X + Y + Z = 4 0.1X - 0.1Y + 0.1Z = 0.4 3X + 2Y + Z = 2 X- Y +Z = 4…

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Q: Do your calculation in 4 decimal places unless specified in the question. Given the following linear…

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Q: 2)By using Gramer's method to solve the system x + 2y+ 3z = 0 %3D 2x + 3y+ 8z = 0 x + 5y+ 11z = 0 ,…

A:

Q: 1 1 7. The system X' = 0 2 3 X+ -2 4t e Use the method of Undetermined Coefficients. 0 0 5 2

A: The given System: X'=111023005X+1-22e4t     →    eqn 1 Where X is a general solution of the system.…

Q: c) (i) Use x. and x.as the initial basic variables and apply simplex method to solve: Maximize: z =…

A:

Q: Find the general solution of the system dri(t) dt dr₂(t) dt 2x1 (t) + 2x2(t) + t ri(t) + 3x2(t)-2t.

A:

Q: 4. Use a graphing device to find all solutions of the system rounded to two decimal places. Sx - 2y…

A: The equation given to us is  x-2y=1y=x3-2x2

Q: 11.11 Use the Gauss-Seidel method to solve the following system until the percent relative error…

A: We Solve Equations 10x1 + 2X2 - X3 = 27,                                  -3x1 - 6X2 + 2X3 = -61.5,…

Q: Maximize 2x1 + x2 – 3r3 + 5x4 subject to xi + 2r2 + 2r3 + 4x4 < 40 2x1 – r2 + 13 + 2x4 < 8 4x1 – 2x2…

A:

Q: Solve this problem by the Big M and also solve by the two phase method Minimize X +2 x - ן2x Subject…

A: Problem is Max Z =   2 x1 -   x2 + 2 x3 subject to     x1 + 2 x2 + 3 x3 ≤ 5…

Q: This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of…

A: Let x kg of food A is mixed and let y kg of food B is mixed As food A contains 2units/kg of vitamin…

Q: Minimise x2+y−2xyx2+y−2xy subject to the constraint y=1

A: Given function is fx,y=x2+y−2xy and given constraint y=1. We have to minimize the function is…

Q: Question five Find solution using Two-Phase method. Maximize Z = 3X1 + 2X2 + 2X3 subject to the…

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Q: Question: 100x^2-16y^6 Options: A. (10x+4y^3)(10x-4y^3) B. (100x+16^6)(100x-16y^6 C.…

A:

Q: 4) Find the solution of the following linear equation system using LU decomposition method X1 + 2x2…

A: To solve the system of equations using LU decomposition method.

Q: 1. Use Gaussian elimination 2x +y - 3z = 4 4x + 2z = 10 - 2x + 3y - 13z = - 8 - 8

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Q: Find general solutions of the systems in Problem Attached.

A:

Q: This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of…

A: Hello, thanks for your question but according to our policy I am answering the first three subparts.…

Q: Bob is a young entrepreneur who recently graduated from UPSA and using three different ingredient…

A: If a system of equations is represented in the matrix form as Ax=B, then x is calculated using the…