Solve the given LP Max model using Simplex Algorithm. Max z = 2x1 – X2 + X3 s.t. 3x1 + x2 + x3 < 60 X1 - X2 + 2x3 < 10 X1 + X2 - X3 < 20 X1, X2, X3 2 0

Q: 1. Use the Gauss-Jordan elimination method to determine the quadratic function whose graph passes…

A: Note :- These are multiple questions and according to our company guideline we are supposed to…

Q: Given the following LP: Min   4x1 + 6x2 s.t     2x1    +  2x2   ≥  3,         x1  +     3x2     ≥…

A: Solution 1: First we find the dual problem of the given linear programing problem. Then we find the…

Q: 2. Solve the following LP models with both Big M and Two Phase Simplex Algorithms: а. min z = 4x1 +…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: Solve the following mixed integer programming problem by using Branch and Bound algorithm.…

A: Max Z =     x1 +   x2 subject to   2 x1 + 5 x2 ≤ 1   6 x1 + 5 x2 ≤ 30 and…

Q: Use A-1 to decode the cryptogram. 22 A = 3 7 9 -3 -4 1 3 19 50 -37 -33 67 -5 -2 18 -4 1 23 -21 -25…

A: Given: A=122379-3-41 and the code 3  19  50  -37  -33  67  -5  -2  18  -4  1  23  -21  -25  17  -4…

Q: To sdve systems in the Gaussion method 3X,-X3ニ-1 Xyt 5X 2-X3=-G - 3X q+6Xz+2X=11

A:

Q: max z = x1 + x2 + x3 s.t. X1 + 2x2 + 2x3 < 20

A:

Q: Solve the following system using the Gaussian algorithm: 2x1 – x2 + 3x3 = - = -1 = 0 = 3 -2x1 + x2 –…

A: Given the equations 2x1-x2+3x3=-1 -2x1+x2-x3=0 x1-3x2+6x3=3 First, we will find the solution vector…

Q: Solve the following system using GS iteration method use x0 = (0000) 10x₁x2 + 5x3 = 6 -x₁ + 11x₂ -…

A: To find- Solve the following system using GS iteration method use x0 = 0, 0, 0, 0 10x1 - x2 + 5x3 =…

Q: (a) Employ Crout's decomposition to solve the system. 5x1 - x2 = 9 -X1 +5x2-X3 = 4 -X2 + 5x3 =-6 %3D

A:

Q: 5/3 213 4=LCx-4) +2 Cx-4J +2 (x-4) graph showing Algorithm

A: To graph the following function

Q: 4 Use the simplex algorithm to find the optimal solution to the following LP: min z = - 3x1 + 8x2…

A:

Q: Use the branch and bound method to find the optimal solution to the IP: max z= 7x1 + 3x2 s.t. 2x1…

A: Given LPP is max z= 7x1 + 3x2 s.t. 2x1 + x2   &lt;= 9      3x1 + 2x2 &lt;= 13 x1,x2 &gt;= 0; x1,x2…

Q: A А B 1 3 D ow many unique (excluding reverse) Hamiltonian circuits are possible? oply the Brute…

A: (a) 3 (b) A-&gt;B-&gt;D-&gt;C-&gt;A 17 (c) A-&gt;C-&gt;D-&gt;B-&gt;A 17 (d) 17

Q: Consider the following Integer Programming (IP) problem. Minimize Z = 2X1+ 4X2 Subject to: 2X1+ X2 2…

A:

Q: Solve the tri-diagonal linear of equations system below using Thomas Algorithm. (2.04 -1 -1 2.04 -1…

A: we have given the tri-diagonal system of linear equations…

Q: Q#3: (i) Solve problem by first finding the dual and then using the simplex algorithm. Minimize (E c…

A: The dual will be:  maximize: 32x1+112x2+54x3 Subject to:  8x1+7x2+x3≤225x1+4x2+6x3≤180

Q: D 5.3-2. Consider the following problem. Maximize Z = 4x1 + 3x2 + x3 + 2x4, subject to 4x1 + 2x2 +…

A: The following steps are used to find the solution of the linear programming problem by simplex…

Q: Given the following LP Max    4x1 + 6x2 s.t   1.  2x1    +  2x2   >_   3,        2.    x1 +  3x2…

A:

Q: Consider the system = 0 xị + x2 – 3x3 + 4x4 xi + x2 – 4x3 + 5x4 + 2 2x1 + 5x2 – 1lx3 + 9x4 – 5 = 0 -…

A:

Q: Employ Crout's decomposition to solve the system. 5x1 – x2 = 9 -x1 + 5x2 – x3 = 4 -x2 + 5x3 = -6

A:

Q: Find a least-squares solution of the inconsistent system Ax = b. %3D

A: The objective here is to find a least square solution of inconsistent system Ax=b, where…

Q: 3. Use the Branch and Bound Algorithm to solve the following integer programming problem: Use the…

A: Given :-  Using the simplex algorithm, max 2x-y-rs.t. x-y-2r≤3        x+y+r≤4                   r≤6…

Q: 4 Use the simplex algorithm to find the optimal solution to the following LP: min z = -3x1 + 8x2 4x1…

A: (4) Given minz=−3x1+8x2 Subject to 4x1+2x2≤122x1+3x2≤6 And x1,x2≥0 We have to solve the given LP…

Q: Use Euclidean algorithm to obtain x and y satisfying the equation of (5 036, 2 601) = 5 036x + 2…

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Q: use the mrp branch and bound algorithm presented following Solve Hhe MIR problem interactively to…

A:

Q: 4. The "divide and average" method, an old-time mthod for approximating the square root of any…

A:

Q: 5- Solve the following systems using Gauss Seidal and Jacobi iteration methods for n=8 and initial…

A: Gauss Seidel: It is an iterative method for solving linear system of equation. This method is based…

Q: P(z)=z5 -2z3+3z2+3z-4 Horner to calculate p(4), including use the algorithm

A: Given

Q: Solve the multiplication problem rod ewd 96 bas X 8 in three different ways: by using the standard…

A:

Q: Solve the following linear program using the simplex algorithm. Maximize z = 4x¡ + 2x2 – 2x3 Subject…

A: Simplex method

Q: Consider the following linear program:            Max Z = -4x1 + 2x2 Subject To -2x1 + 2x2 ≤ 7 x1…

A:

Q: II. Use Euclidean Algorithm to obtain x and y satisfying the equation of (50 364, 26 601) = 50 364x…

A: Calculating GCD(50364,26601) gives: 26601 = 0*50364 + 26601 50364 = 1*26601 + 23763 26601 = 1*23763…

Q: Use the simplex algorithm to solve the following problem (Use tableaus) max z = x, – 2x2 + x3 s.t.…

A:

Q: Using simplex algorithm solve the following: Minimize f= 5x + 2y subject to 3x + 4ys 24; x-ys3; x+4y…

A: Given problem is: Min f=5x+2y Subject to 3x+4y≤24x-y≤3x+4y≥43x+y≥3 where x is unrestricted in sign…

Q: 1. Find a basis for the solution space of the system + x4 = 0 X1 + x2 + X3 + X4 = 0. 3x1 X2

A: The detailed solution is as follows below:

Q: Consider the system: x1 + x2 -  3x3 + 4x4 = 0 x1 + x2 - 4x3 + 5x4 +2 = 0 2x1 + 5x2 - 11x3 + 9x4 -…

A: we will solve this by the gauss Jordan method, so we know that, in the gauss Jordan method, we will…

Q: Use the Linear Finite-Difference Algorithm to approximate the solution to the following Boundary…

A:

Q: Consider the system x1 + x2 – 3x3 + 4x4 x1 + x2 – 4x3 + 5x4 + 2 2x1 + 5x2 – 1læ3 + 9x4 – 5 = 0 = 0 =…

A:

Q: 4. Use Thomas Algorithm method to solve the following system of linear equations. 2.047, T, 40.8 %3D…

A: According to the Thomas Method, 2.04-100    ⋮40.8-12.04-1 0    ⋮0.80-12.04-1  ⋮0.800-12.04⋮200.8 Now…

Q: Suppose that we have coins of denominations 1, p, p,..., p" where p,n e N, p > 1,n > 0. Assume that…

A: Given , coins of denominators 1,P,P2,.....Pn            where , p,n∈N,p&gt;1,n≤0unlimited supply…

Q: 62 40 33 D 44 10 10 25 B Use the Nearest Neighbor Algorithm starting at vertex A to find an…

A:

Q: 4. Consider the following LP: max z = 6x1 + x2 st. X1 + x2 < 5 2x, + x2 5 6 X1,x2 20 (a) Solve this…

A: Given: Let us consider the following LP: max      z=6x1+x2st.                  x1+x2≤5…

Q: Consider the system X1 + x2 – 3x3 + 4x4 = (0 X1 + x2 – 4x3 + 5x4 + 2 = 0 2x1 + 5x2 – 1lx3 +9x4 – 5 =…

A:

Q: 3. Solve the following ILPP using Branch-Bound Algorithm. Maximize Z = 5x + 8y STC x+ys6 5x + 9y s…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Problem 2 Consider the following LP: min 5x1 + 4x2 s.t. x1 + x2 1 2.x1 – x2 >1 3.x2 0. 1. Write…

A: Given Linear Programming Problem, min z = 5x1 + 4x2subject tox1 + x2 ≥12x1 - x2 ≥1-3x2 ≥-2x1,x2 ≥0…

Q: Consider the following LP: max (2z1 + 5z2) s.t. 3z1 + 2z2 0 (a) Solve the LP with the graphical…

A: Given problem: max 2z1+5z2 s.t 3z1+2z2≤18z1≤5z2≤3

Q: Find all the BFS of the linear program Мaximize 4x1 + 5^2 + X3 + X4 Subject to 2x1 – x2 + 3x3 + 2x4…

A: We know that if there are m equations in n unknowns then there can be at the most nCm BFS. As there…