3 Use the simplex algorithm to solve the following problem: max z 2x, – x2 + x3 s.t. 3x1 + x2 + X3 < 60 X1 – x2 + 2x3 < 10 | X1 + x2 - x3< 20 X1, X2, X3 2 0

Q: Which of the following is the algorithm of Newton's Method for finding x3 = N when N is a real…

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Q: Solve this non-linear program using the Frank-Wolfe algorithm with starting solution %3D min f(x1,…

A: Given starting solution is, x0=x10x20=00 And the function is, fx1,x2=12x1-52+12x2-52Such that…

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: min z = 4x, - x2 s.t. 2x1 + x2 < 8 X2 < 5 X - x25 4 X1, X2 2 0

A:

Q: Example1: - Solve the following Liner programming problem by using Graphical method? Маx Z 3D 8X,+…

A: The given linear programming problem is Max z=8x1+6x2s.t.4x1+2x2≤602x1+4x2≤48x1 , x2≥0 Writing the…

Q: Use the simplex algorithm to solve the following linear optimisation problem: maximise f(x1, x2, x3)…

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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: 4. Consider the following simplex tableau: t 1 1 4. 8 1 -2 0. -1 1 0. 10 3. 1 -1 0. 12 -2 0 1 -3 1…

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Q: Let 2 4 -1 |-7 5 3 A = 1 4 -9 -7 6 And B = -7 8.

A: The given matrix is

Q: 2 1 3) y=-(x– 4)³ + 2(x – 4) ³ 5 Graph showing all algorithm and work

A: We can proceed as follows

Q: The following tableau was obtained after several steps of the simplex algorithm in a standard linear…

A: From the given tableau we can say that, All the entries are non negative which is for maximization…

Q: Consider the system = 0 x1 + x2 – 3x3 + 4x4 xi + x2 – 2x1 + 5x2 – 1lc3 + 9x4 – 5 %3D 4x3 + 5x4 + 2…

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Q: Use the simplex algorithm to solve the following linear optimisation problem: maximise f(x1,x2, x3)…

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Q: Use Simplex Algorithm to determine the optimal solution of this LP problem. Maximize z = 2x1 − x2 +…

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Q: Consider the system ¤1 + x2 – 3x3 + 4x4 ¤1 + x2 – 4xz + 5x4 + 2 2x1 + 5x2 – 1læ3 + 9x4 – 5 = 0 -21 –…

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

A: To graph the following function

Q: 1. Use the Simplex algorithm to solve the following LP models: а. max z = 2x1 – x2 + x3 s.t. 3x1 +…

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Q: 6) Use the simplex algorithm to solve the followir Max Z = 3X1 +2X2 Subject to: 2X1 + X2 < 100

A: Simplex method: The simplex approach is a method for systematically evaluating vertices as potential…

Q: Use the two-phase simplex algorithm to solve the following problem or determine if it is infeasable.…

A: According to the given information it is required to solve the given problem:

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

A:

Q: Solve this non-linear program using the Frank-Wolfe algorithm with starting solution -0-8 = 1 min…

A: Given: The starting solution is x0=x10x20=00. Alse the below non-linear program is given,…

Q: 1. Use the Simplex algorithm to solve the following LP models: а. max z = 2x1 – x2 + x3 s.t. 3x1 +…

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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: Q) Consider the following LP model. Max Z=40x, +10x, x, + 2x, <140 2.x, +x, <100 Such that 2x, + 2x,…

A: To convert the given problem into canonical form, add the slack variables S1≥0, S2≥0 and S3≥0 in…

Q: Solve the following integer programming problem using branch and bound approach. Maximize Profit =…

A: Given  Maximize Profit=$2x1+$3x2Subject to: x1+3x2≤9                   3x1+x2≤7…

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: Solve using Thomas algorithm 2 1 -2 X1 1 (L) X2 | 1:1 1 X3 - 0. 0 1 -2 X4 8. 012 - 121O

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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: 2.2. Solve the following linear programs using the simplex method. If the problem is two…

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Q: X1 + x2 – 3x3 +4x4 = 0 X1 + x2 – 4x3 +5x4 +2 2x1 + 5x2 – 11x3 + 9x4 – 5 = 0 = 0 -x1 – 4x2 + 10x3 –…

A: As per Bartleby guidelines we're supported to answer only first question when two or more different…

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

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Q: The intal tablea of a inear programming problem is given. Use the simplex mehod to solve the protiem…

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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: Generate the dual simplex iterations for the following problems (using TORA for convenience), and…

A: Dual Simplex Method Algorithm: Step1: Convert the problem to maximization if it is in minimization…

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: Q5. (15 pts) Consider the linear program max 10х - у s.t. -5x + 3y < 15 3x – 5y < 8 х, у 2 0 Use the…

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Q: DI 12.6-3. Use the BIP branch-and-bound algorithm presented in Sec. 12.6 to solve the following…

A: please see the next step for solution

Q: 1. Consider the problem of Maximize z = 2r +9r2 Subject to 21 + S 20 I1 +5r2 S 24 a 2 0 and integral…

A: Note:- As per our guidelines, we can answer the first problem (as all the sub-parts have different…

Q: 2. Solve using the standard algorithm. a.0.4 + 0.7 b. 2.04 + 0.07 = c. 6.4 + 3.7 = d. 56.04 +3.07 =.

A: for adding given expression, we use additive rule so, 0.4+0.7=1.1 similarly,…

Q: max 6x1 – 5x2 + 13 s.t. - r1 – 2x2 + 2rg < 16 2.x1 + 2x2 + x3 < 10 3r + 6x2 + 2x3 2 -30 13 urs (a)…

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Q: Use simplex algorithm to solve the following question. Max 80x1+20x2+20x3 s.t. 10x1+4x2+x3≤50…

A: Given that , Max 80x1+20x2+20x3 s.t. 10x1+4x2+x3≤506x1+2x2+3x3≤2410x1+4x2+2x3≤18 where x1 , x2 ,…

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: 4- Write just the first table of Big-M method for the following problem Max Z= 2X₁ + X2 s.t. -3X1 +…

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Q: Below is the initial tableau for a linear programming maximization problem. Ap- ply the Simplex…

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Q: Q2:Write an Algorithm to evaluate the following equations: x2 1.Cos(X) = 1 –+ 2! 6!' 8! ... ... 4!…

A: #include &lt;stdio.h&gt; #define PI 3.1415void main(){   float x;    int n;    printf("\nEnter value…

Q: 5.6 Determine the positive real root of In (x4) = 0.7 (a) graphi- cally, (b) using three iterations…

A: Bisection method: Let f be continuous function in [a,b] In this method we take two initial guess…