Use the simplex method to solve the following linear program: max 5x₁ + 4x2 + 3x3 2x1 + 3x2 + x3 4x1+x2 + 2x3 3x₁ + 4x2 + 2x3 X1, X2, X3 ≥ 0 <5 ≤ 11 ≤ 8

Q: 12x² +6x +4 4x² - 1

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Q: Explain why each of the following equations is not linear.(a) x1x  12  6 (b) !x  2  x(c) 3x2 …

A: Linear equation: An equation is in the form of ax+b=0, where a and b are integer and power of x…

Q: 2x₁6x₂x3 = -38 Given the linear system -3x₁-x₂+7x3 = -34 -8x₁+x₂-2x3 = -20 determine the values of…

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Q: SIMPLEX METHOD MaxP= 16x+14y subject to 2x+y is less than or equal to 16 2x+3y is less than or equal…

A: Given Problem is We solve it by Simplex Method.

Q: Solve the system X1 +x2 3 X2 +x3 1 X3 +x4 1 X1 +x4 3 X2 +sl X3

A: Given equations are x1 + x2 = 3 x2 + x3 = 1 x3 + x4 = 1 x1 + x4 = 3

Q: Solve the problem by the simplex method: min ₁2x4+x5 +9 x3 x4 + 2x5 x2x3 + 2x4x5=1 X1, X2, X3, X4,…

A: Objective function:Min. P=X1-2X4+X5+9Subjected to constraints:X3-X4+2X5=2X2 - X3 +2X4 -X5 =1

Q: Use the simplex method to solve. Maximize z = 8x₁ + 4x2, subject to X₁ + X₂ ≤ 240 4x1 + 3x₂ ≤ 720 X1…

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Q: Solve the system 4x1 -3x2 +2x3 +4x4 +x2 +3x3 +3x4 -I1 5 3x1 -2x2 +5x3 +7x4 -2x1 +2x2 +6x3 +6x4 10…

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Q: Determine if the montsivial Solution system has 3x, + 5x2-7x3=0 6x, t 7c2 t X3=O

A: The given system of equations are, -3x1+5x2-7x3=0-6x1+7x2+x3=0

Q: For each system below that is linear, determine whether it is consistent. (a) 5x1 – x4 = 3 5x1 + 5x2…

A: A system is consistent if system has at least one solution.

Q: Minimization: Z = 5X, + 6X, + 10X, + 7X, + 19X5 Subject to: %3D 5X, + X2 + 3X3 – 4X, + 3X5 2 2 -2X,…

A: In this problem we can observe that all Xj ≥0 and so, Z can be minimum 0 as all coefficients of Xj…

Q: Determine whether x = (0 3 0 9 2) is a solution

A: Given that max   2x2+2x5s.tx1+x2-x5=1x2+x3+x5=5-2x2+x4+x5=5x1,x2, x3,x4, x5≥0 To determine…

Q: Find the maximum/minimum value of y = 10-4x - 3x² and where it occurs using completing the square.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: The number of ordered pairs (x, y) of positive integers satisfying the x² + y² = 13(x + y) is A 6 B…

A: First, we rewrite the given equation x2 + y2 = 13*(x + y) in a more convenient form. We can do this…

Q: Q1. Solve the following linear system 3x₁ + x₂ + x3 + 6x4 = 14 x₁2x₂ + 5x35x₁ = -7 4x₁ + x₂ + 2x3 +…

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Q: -K-t K(1+

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Q: 2x, - x, + 3x, = 24 2x2 - x, = 14 7x, - 5x2

A: According to Gauss-Jordan Elimination method first we will write the given system into augmented…

Q: Let M be closed subspace of normed space X. Show that MX iff int(M)=

A: Given Data: Let us consider the given data, M be closed subspace of normed space X. To Show that:…

Q: Solve the system. X2 13 I4 -2060x₁ -362x1 -826x₁ +8 16480x2 2896x2 6608x2 15812x3 + 7500x4 2750x3 +…

A: -2060x1-16480x2-15812x3+7500x4=128848-362x1-2896x2-2750x3+1306x4=22456-826x1-6608x2-6638x3+3114x4=53…

Q: Match each problem with the correct answer. You may not use all of the answers. (8y - 7) + (x + 13)…

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Q: xi + 2x2 – 3x3 = -2 3x1 – x2 – 2.x3 = 1 2x1 + 3x2 – 5x3 = k 1. Find the value of k for which the…

A: For consistent rank of the matrix is same as rank of augment matrix

Q: Match each problem with the correct answer. You may not use all of the answers. (8y - 7) + (x + 13)…

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Q: Resuelva por mínimos cuadrados el sistema: 1-2 3 2 1 0 3 -4 2 5 2 Escriba en orden los valores de x1…

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Q: BELOW ARE THE SYSTEMS OF LINEAR EQUATIONS THAT YOU NEED TO SOLVE USING DIRECT INVERSE OR PINVC…

A: Since you have asked multiple question , we will solve the first question for you. If you want any…

Q: Solve the system 21 X2 x3 C4 +s +t 5x1 -21 4x1 3x1 -6x2 +2x3 +₂ +3x3 +5x3 -9x3 -5x2 -3x2 +2x4 = +2x4…

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Q: Find Least Squares Solution. 9 2b + 4c = -3 -за - 36 - Зc = 1 9-46+2c= -5 1

A: Given that a-2b+4c=-3-3a-3b-3c=1a-4b+2c=-5-a+2b-5c=2 Compare to Ax=b Where A=1-24-3-3-31-42-12-5 and…

Q: Solve the following LP using Simplex Method. Max z = 1500x1 + 2000x2 + 2400x3 Subject to 3x1 + x2 +…

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Q: Use the simplex method to solve the following problem. maxZ = 3x₁ - 80x2 + 2x3-24x4 X1 32x2 - 4x3…

A: Given that, The Linear programming problem is: Max Z = 3x1 - 80x2 + 2x3 - 24x4subject tox1 - 32x2 -…

Q: Solve the system X1 x2 X3 4 || +s +t 4x1 -3x2+2x3 +3x4: -X1 +x2 +2x3 +3x4 3x12x2 +4x3 -3x₁ +3x₂ +63…

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Q: Attempt graphically the following problem: Maximise 3x1 + 2x2 Subject to 2x1 +x2S 12; x1 +x2S 10; –…

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Q: Rewrite in the form 6x³-14x² +21 2x - 2 6x³14x² +21 2x - 2 q(x) + 2x - 2 r(x) 2x - 2

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Q: To find the number of shoes, a company should manufacture per day to optimally use their machine and…

A: Consider the system of equations  a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3 To solve the system of…