Question #5: Solve the following LPP by graphical method Maximize Z = 22x1 + 18x2 Subject to constraints: 960x1 + 640x2 ≤ 15360 x1 + x2 ≤ 20 and x1 , x2 ≥ 0

Q: Q5) Test the completely state controllable for the following system: * = [₂²][²²]+] ₁² น 2

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Q: If I am to set up a system of equations describing the traffic flow, and determine the constraints…

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Q: B. Convert primal problem to dual problem: Minimize Z = 4x₁ + 2x₂-x3 Subject to: x₁ + x₂ + 2x32 3…

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Q: Maximize z = 0.3x, + 0.5x, + 1.2x3 Subject to constraint 12x, + 23x, + 12x, s 70 13x, – 52x, + 34x,…

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Q: T1 - 2x2 – ag = b1 -4.x1 + 5x2 + 2xz = b2 -4x1 + 7x2 + 4x3 = b3. Find the conditions that the b's…

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Q: By hand, use Cramer's rule to solve system i above

A: # As per the guidelines we are entitled to solve one question at a time , Please resubmit the other…

Q: Min z=-2x1+x2-x3 Subject to constraint 3x1+x2+x3=0  Solve this by simplex method

A: We have to solve the given LPP using simplex method.

Q: min -5x1 –- x2 + 12x3 subject to 3x1 + 2x2 + x3 = 10 5x1 + 3x2 + +x4 16 X; > 0, i = 1, 2, 3, 4. for…

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Q: EXAMPLE 3.8 Solve the following system: X1 +3x, - 2x3 + 5x, = 4 2x1 + 8x2 X3 + 9x, 9 - 3x, + 5x2…

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Q: Convert the following model to simplex format: Maximise 4 x1+ 3 x2 Subject to 8 x1- 2 x2 = 2 x1+ 7…

A: The problem is converted to canonical form by adding slack, surplus and artificial variables as…

Q: The system Ax=b is not consistent if the number of equations is greater than number of unknowns…

A: A system of equations is consistent, if it has at least one solution . A system of equations is…

Q: Suppose that x1,x2,...,x5 correspond to binary choices (or actions) with value 1 if an action is…

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Q: Use a linear transformation to solve the problem: Maximize z = 2x₁x₂x² + x ² x ₂ 2 Subject to 5x₁ +…

A: Maximize subjected to  and are binary

Q: Consider the system 3x + 7y + 13z = 76 x + 5y + 3z = 28 12x + 3y - 5z = 1

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Q: Evaluate the following limit. lim 3 sin t lim t→0 t t e2t -2t-1 7t 7t 7 cos t+ 1² 71² 2 7 cos t+…

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Q: Project 3 can be selected only if both Projects 1 and 2 are selected, but if both Projects 1 and 2…

A: Given that,                Project 3 can be selected only if both Projects 1 and 2 are selected, but…

Q: Solve for X1

A: Given, the objective  Function                        Zi=2X1+X2+3X3Contsraints:…

Q: 12. Determine the values of A such that the system has a) a unique solution b) no solution c) more…

A: The given system of equation is:…

Q: Use the Gauss-Jordan reduction to solve the following linear system: x1 x2 2x3 -1 5x1 6x2 + 5x3 -9…

A: To use the Gauss-Jordan reduction method to solve the given system.

Q: For which values of k the system 21 + 2x2 + kaz +3x4 k a1 + 2x2 + kr3 + 3r4 = 0 has infinitely many…

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Q: c. Apply the principle of diagonal dominance and solve the system again. Use Gauss- Seidel with an…

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Q: I1 + x2 – x4 = 0 X1 + 2x2 – X3 + 2x4 = 1 -x1 – 2x2 + 2x3 – 3x4 = 3

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

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Q: 1. Max z = 2x, + X,+ 2x3 Subject to 4x + 3x2 + 8xs 12 4x, + X+ 12x,s 8 4x- X2+ 3x5 8 X1, X2, Xg 20…

A: Solve above the LPP  According to the bartleby guidelines I have to solve only first question in…

Q: Write the dual to the following problem. Maximize z = 2x1 + x2  + 3x3 + x4

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Q: 4. Write the standard primal and dual for each of the following problems: (a) Minimum z = 5x1 – 3x2…

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Q: Find 1) w(x,,x2,x3)for the system x, = tx,-2x2+3x3 1 x2= 5x,-3x2+X3 X 3 = - X2+ X3

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Q: 4. Consider the 2×2 linear system: a₁₁x₁ + a₂₁₂x²₂ =b₁ a₂₁x²₁ + a₂₁x₂=b₂ Using an xy-Cartesian…

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Q: Verify that in the example to the right, the same result isobtained if the constraint x + y = 20 is…

A: The given objective function P=xy with the constraint x+y=20

Q: Investigate the stability of the following system (Consider the quadratic form as lya punor system.)…

A: For any queries please let me know through comments. I will try to reply ASAP! Please like if…

Q: Consider the following problem; max f(x1 ,x2) = -xỉ – x3 subject to (x1 – 1)³ 2 x3 Check "constraint…

A: Given : f(x1,x2)= -x12-x22 We have to maximize this function We can write this…

Q: subject to 4x₁ + 3x₂ ≥9 3x₁ + 9x2 25 X₁, X₂ 20 subject to 4 y₁+3y2 ≤7 3 y₁ +9y2 ≤ 5 Y₁, Y220 b.…

A: Solution :  Given linear programming problem Minimize  C=7 x1+5 x2Subject to  4x1+3x2 ≥ 9…

Q: Max 14x1 + 7x2 t. 2x1 + 5x2 = 14 *1 + 2x2 = 6

A: Feasible region: The region determined by all the non-negative constraints and inequalities iscalled…