Using the information below to create the initial simplex matrix. Maximize f = 27x1 + 10x2 subject to 2x1 + 15x2 < 45 2x1 + 8x2 < 55 xi > 0 x2 > 0

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Q: n=18x, +22r, 3x, +5x, S10 3x, +5x, 525 Maximise 2x, +6x, 520 x, 20 x,20 Subject to

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A: The given system of equations  4x1-x2=3-x1+2x2=1 can be written as AX=b, A=4-1-12, X=x1x2, b=31

Q: Write the dual of the following LPP Minimise Z = 16x₁ + 9x₂ + 21x₃ Subject to the constraints: x₁…

A: Let us consider the primal problem: Min Z=cXAx≥bx≥0 Dual of primal problem is given by: Max…

Q: How to determine the row rank and nullity of the SPL as attached example?

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Q: Determine whether the system is consistent. X1 - X2 + 4x3 = 15 -4x1 + 4x2-16x3 = 4 X1 + 4x2 + X3 - 0…

A: The system of equation is given as x1-x2+4x3 = 15-4x1+4x2-16x3 = 4x1+4x2+x3 = 0 This system is…

Q: Use Cramer's rule to solve the linear system of equations; 2x2 + 5x3 = 1 2x₁ + x₂ + x3 = 1 3x₁ + x₂…

A: Given equations are 2x2 + 5x3 = 12x1+x2+x3 = 13x1+x2 = 2

Q: x1 +3x2 +6x3 2x4 -2x1 -5x2 -10x3 +3x4 x1 +2x₂ +4x3 x2 +2x3 -3x4 -7 10 0 -10

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Q: Use Cramer's rule to solve for X2 in the given system. 5x,-2x,+X3=1 X2+X3=0 X1+6x,-X3=4

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Q: Using the information below to create the initial simplex matrix. Assume all variables are…

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Q: if the systemn has free variable then the system has unique solution Select one: O True O False

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A: The given system of equations are: x1+x2=2-x1+3x3=0x2-3x3=1 We have to compute the solution using…

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Q: 1. Solve the linear system using LU Factorization. 2x1 + x2 - x3 + 2x4 4x1 + 5x2 - 3x3 + 6x4 -2x1 +…

A: The given linear system is ,             2x1+x2-x3+2x4 = 5    4x1+5x2-3x3+6x4=9-2x1+5x2-2x3+6x4=4…

Q: Using the information below to create the initial simplex matrix. Assume all variables are…

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Q: X1 – 2x2 + x3 + x4 = 4 x1 + 2x2 + x3 + x4 = 1 2x1 +2х3 + 2х, 3D 5

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Q: Suppose that 0.3210 approximates 0.3245. How many significant digits does the approximate have? O 3…

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Q: Find the least-squares solution of the system 1 -5 169 11

A: Given,11-11111-111-1-1x→ = -77-5-3here,A = 11-11111-111-1-1  and b =  -77-5-3

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Q: ao + a1x1 + Solve the following linear system ao + a1x0 + m-1 +am-1x0 + amxm m-1 = + am-1x1 + amxm =…

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Q: Use Cramer's rule to compute the solution of the system. X₁ + X2 - 4x1 X₂ = 2 4x3 = 0 4x3 = 1 x₁ = ;…

A: The given problem is to find the solution for the given system of linear equations. Given system of…