Solve the following linear program using the simplex method: 7x₁ + 8x2 4x1 + x2 ≤ 100 (a) (b) (c) (d) maximize: subject to: minimize: subject to: minimize: subject to: x1 + x2 < 80 *1 ≤ 40 x1 and x2 > 0 x₁ + 2x2 x1 + 3x2 ≥ 11 2x1 + x2 ≥9 x₁ and x₂ > 0 2x₁ + 3x2 + 4x3 x1 + x2 + x3 ≤ 1 x₁ + x2 + 2x3 = 2 3x1 + 2x2 + x3 ≥ 4 x1, x2 and x3 ≥ 0 maximize: 2x1 + x2 subject to: 0≤x≤ 5 0≤x≤7 x₁ + x₂ < 90

Q: . Maximum profit occurs at those x-values for which R'(x) = C'(x) and R"(x) < C"(x), where R(x) is…

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Q: Maximize subject to: with z=7x₁ + 3x2 + 8x3 x₁ + x2 + x3 ≤6 x₁ + x₂ ≤3 7x₁ + x2 + 2x3 ≤ 15 x₁20,…

A: Given primal problem is Maximize Z=7x1+3x2+8x3 subjected to  x1+x2+x3≤6x1+x2…

Q: Use the simplex method (in tabular form) to solve the following problem Maximize: Z=5x,+9x2+X3…

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Q: minimize: subject to: ₁+ 2x2 x₁ + 3x₂ ≥ 11 2x1 + x2 >9 x1 and x₂ > 0 Solve the following linear…

A: Given,                      To solve the given linear program using the simplex method.

Q: minimize: subject to: 2x₁ + 3x2 + 4x3 x₁ + x2 + x3 ≤ 1 x₁ + x₂ + 2x3 = 2 3x1 + 2x2 + x3 ≥ 4 x1, x2…

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Q: Maximize: P = x₁ + 2x2 Subject to the constraints: x1 + 3x₂ 0

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Q: Maximize P = x1 + 2x2 + x3, Subject to: 3x1 + x2 + x3 <4 x1 + x2 + 2x3 < 4 æ1, X2, x3 and give the…

A: It is given that, Max P=x1+2x2+x3 Subject to the constraints, 3x1+x2+x3≤4x1+x2+2x3≤4and x1,x2,x3≥0…

Q: Use the simplex method to solve the following linear program: maximize x1 + x2 + 3x3 subject to 1 +…

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Q: Form the dual maximization problem (Use x,, X2, and x, as the variables and fas the function.) and…

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Q: It is a problem about simplex method in linear programming     maximize   2x1 - 6x2 subject to…

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Q: Use the simplex method to solve the linear programming problem. z = 5x, + 2x2 +x3 4x1 +4x2 +…

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Q: Use the duality method to solve each linear programmin 1. Minimize Z = 29x,+ 10x2 subject to: 3x,+…

A: Given that  Minimum z=29x1+10x2subject to 3x1+2x2≥2                   5x1+x2≥3…

Q: Minimize and Maximize Z= 40x+10y subject to 3x+y is greater than or equal to 42, x+y is greater than…

A: Z is maximum at D(36,0) and Zmax = 1440Z is minimum at A(0,42) and Zmin = 420Explanation:

Q: maximize subject to 18x₁ +12.5x2 X1 X1 + X1, X2 X2 x2 0.

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Q: Use technology to maximize the following: Maximize f = 3x1+ 4x2 + 10x3 subject to xi + 3x2 + 2x3 0,…

A: Given linear programming problem is Maximize  f=3x1+4x2+10x3 subject to…

Q: Use the simplex method to solve the linear programming problem. z = 8x, - 7X2 + 2x3 2x, - X2 + 8X3 <…

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Q: Maximize Subject to And ? = 4x1 + 3x2 X1 + x2 ≤ 4 2x1 + x2 ≤ 6 X1,x2 ≥0 Q1 Solve the following…

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Q: Use the Lagrange multiplier method to optimize the objective function 3x? + y? – 2xy subject to the…

A: Given f(x) = 3x2 + y2 - 2xy Constraint: x + y = 6

Q: Consider and find solution using the simplex method. Maximize 3x1+5x2+8x3 1+2x2 <8 Subject to 4x2 +…

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Q: Use the simplex method to solve the linear programming problem. z = 8x₁-7x₂ + 4x3 2X₁ X₂ + 8x3 ≤ 48…

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Q: Use the simplex method to solve the linear programming problem. Maximize: z = 2x1 + x2 subject to:…

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Q: Set up the simplex tableau. Do not solve. Maximize z = 160x₁ + 250x₂, subject to 85x₁ + 64x₂ ≤ 530…

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