Question 3. Consider the following linear program: maximize: 4 + 2x2 + 3x3 s.t. r1-2r2 + 3r3 < 12 - 1 +3r2 +x3 <8 x1, 12, 13 > 0 Solve the linear program by the Simplex Method. You should show all working steps (each pivoting opera- tions) and explicate the selection of basic and non-basic variables.

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: Solve the following linear program using the Simplex method: Z=-6 x₁-10 x₂-4 x3 Minimize Subject to.…

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Q: Use the simplex method to solve the following. Maximize z= 3x, + 3xy = 6x3 subject to 5x, + 5x2 -…

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Q: Solve the linear program using the simplex method. OA. The maximum value is (Simplify your answers.)…

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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 the problem. Maximize P= 32x, +24x2 2x, +x2 s 16 X +8x, s 16 subject…

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

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Q: 7. A 8 g bullet is fired horizontally into a 9 kg cube of wood, which is at rest, and sticks in it.…

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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: 1. Using the simplex procedure, solve: Maximize 2x₁ + 4x2 + x3 + x4 x1 + 3x2 2x1 + x2 subject to 1 +…

A: The given linear programming problem is, Maximize  2x1+4x2+x3+x4 Subject to  x1+3x2+x4 ≤ 4…

Q: . Pivot as indicated in the simplex tableau X1 X2 X3 X4 X5 0 | 56 1 40 -1 -3 -2 0 0 1 2 4 1 2 2 1

A: Introduction: The pivot or pivot element is a matrix or array element that is chosen first by an…

Q: HW 4: Use the simplex method to solve the following problem and verify the solution by the graphical…

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Q: (i) Use x.and x.as the initial basic variables and apply simplex method to solve: Маximize: z - бх.…

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Q: Example 10. Find maximum profit. If R = 30x – x² and C = 20 + 4x. %3D %3D

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Q: Minimize C=20x₁ + 2x2 subject to 4x1 + x₂ 221 3x₁ + x₂ 25 X₁, X₂ 20 a. Form the dual problem.…

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Q: 1:Use the simplex method to solve the following optimization model (solve one iteration). Min R =…

A: Let us write the problem in our usual notations for our own convenience. i.e.  Write x1 , x2  , x3…

Q: Mr. Cruz has 500 acres of land in which he intends to plant 2 crops corn and wheat. It cost 120 per…

A: Let x be the number of acres to plant corn, and y be the number of acres to plant wheat. Given that…

Q: Maximize: z= 2x, + X2 x, + 5x2 s 12 Use the simplex method to solve the linear programming problem.…

A: To solve the given linear programming problem using simplex method. Maximize: z=2x1+x2Subject…

Q: Consider this linear program: Maximise {x}, subject to the constraints:

A: Let           Max(Z)=x  Sunbject to constraints:              -x+y≤1                  x+y≤4…

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

A: Objective Function: Maximize: Z = 1X1 + 1X2 + 3X3 Subject to: 1X1 + 0X2 + 1X3 = 1 0X1 + 1X2 + 1X3 =…

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: Q2) Solve the following problem using the simplex method: Maximize: z = 4x+3y x +3y s 3 - 2x +y s 5…

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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: subject to

A: Given,           p=3x+2y+zsubject to           2x+y+z≤150      2x+2y+8z≤200          2x+3y+z≤320and…

Q: 7. Obtain the dual of the LP problem : z= xỊ + x2 + X3. Subject to the constraints: XI – 3x2 + 4x3 =…

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Q: A company produces two types of solar panels per year. x thousand of type A and y thousand of type…

A: Using partial derivatives and optimality conditions.

Q: 4 Determine whether the given functions are LI or LD on the given interval. Use Wronskian and Show…

A: We have to check the given function is linearly independent or dependent.

Q: Maximize: P=15x1 + 13x2 Subjec to: x1 ≤  300 (place in R11)                  2x1  + 3x2 ≤ 360 (place…

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Q: Maximize: P = 6x1 - 9x2 Subject to the constraints: 2x13x2 0

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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: Use the simplex method to solve the following. z = 3x₁ + 3x₂ - 6x3 5x₁ + 5x₂ - 10x3 ≤ 75 6x₁ + 6x₂ +…

A: Normal form is:Max z=3x1+3x2-6x3Subject to: 5x1+5x2-10x3+s1=75…

Q: Use the graphical method to solve the problem: ze Z = 2x₁ + x₂₂

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