Q5. (15 pts) Consider the linear program max 10х - у s.t. -5x + 3y < 15 3x – 5y < 8 х, у 2 0 Use the simplex method to show that the problem is unbounded. (Show each iteration of the algorithm in the solution.)

Q: Use the simplex algorithm to solve the following problem (Use tableaus) max z = x1 – 2x2 + x3 - s.t.…

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Q: Discrete Maths Oscar Levin 3rd eddition 4.3.9: Prove Euler’s formula using induction on the number…

A: Given Euler’s formula using induction on the number of vertices in the graph.

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 for x, y and z using the Elimination Algorithm. And conclude appropriately what kind of…

A: Solution

Q: By employing the Adams Fourth-Order Predictor-Corrector algorithm with the step size h=0.2, find the…

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

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Q: Solve for x, y and z using the Elimination Algorithm. And conclude appropriately what kind of…

A: We have to Solve the following system for x, y and z using the Elimination algorithm.x − 3y + z =…

Q: Suppose you have two egg-timers (hour-glasses) — one measures in 32-minute intervals, and the other…

A: Start both hourglasses.   At the end of 12 minutes restart the small one. Again at the end of 12…

Q: Which of the following is not an issue with the Newton-Raphson method? A Instead of converging to…

A: Newton Raphson method is method that is used to solve any Algebraic or transcendental equations. The…

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: Use (a) fixed-point iteration, (b) bisection method, (c) false position method to find the solution…

A: Follow the python code to solve this equations.

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

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Q: Solve the following system using the Gaussian algorithm: 2x1 - 12 + 3x3 = 3 -201 + 2 - 23 = 2 21-3x2…

A: First we will use gaussian algorithm to find the unknown variables and form vector x then using…

Q: 6) solve y'- with the putzer algorithm. 2.

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Q: Scheinerman, Exercise 38.3(d) Solve the following system of equa- tions. 3x = 8 mod 10 and 2x + 4 =…

A: This is a problem of number theory, discrete math.

Q: By using Gauss-Jordan method, the solution of set following above equations will be 2x1 – 4x2 + 6x3…

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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: Solve the following system of equations using Thomas algorithm r+y = 3, r+2y+z = 7 and 3y + 2z = 12.

A: To solve given system of equations using Thomas algorithm.

Q: As a vaccine scientist, you are required to test your newly developed vaccine in two (2) different…

A: Number of subjects from database X is 3190. Number of subjects from database Y is 6094.

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

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Q: Q#3: (i) Solve problem by first finding the dual and then using the simplex algorithm. Minimize (6)…

A: Since, only one(first) of the multiple question is supposed to be done, hence one one question will…

Q: Q#3: (i) Solve problem by first finding the dual and then using the simplex algorithm. Minimize (6)…

A: The given problem is. Min c=225y1+180y2s.t.      8y1+y2≥32           7y1+4y2≥112…

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: Use the Euler algorithm with a step size h = 0.2 to find an approximate value of y10 for the linear…

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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. Consider the following LP problem: max z = 5x1 – x2 s.t. 2x, + x2 = 6 x1 + x2 < 4 x, + 2x2 < 5…

A: Given: The objective function, Max z=5x1-x2 Subject to the constraits,  2x1+x2=6…

Q: Solve the given LP Min model using Simplex Algorithm. Min z = 4x1 – X2 s.t. 2х, + х, < 8 X2 55 X1 -…

A: Min Z = 4 x1 - x2 subject to 2x1 + x2 ≤ 8 x2 ≤ 5 x1 - x2 ≤ 4 and x1,x2≥0;After introducing slack…

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

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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: Consider the following linear system 21 + 4x2 + as = 4 -4x, + 22 + a3 = -4 -I, + 22 + 3r3 -3 Choose…

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Q: Write down the dual of this LP. Solve this LP using the two-phase simplex algorithm.

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

A: Simplex method

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

A:

Q: Q#3: (i) Solve problem by first finding the dual and then using the simplex algorithm. Minimize (6)…

A: The LPP is given as Min c = 225y1+180y2 subject to 8y1+y2≥327y1+4y2≥112y1+6y2≥54y1 , y2≥0   Hence…

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

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Q: G 12 7 B 5 1 D 1 A 1 F 2 9. 3 3 E 10 Using Dijkstra's Algorithm, find the shortest path from A to F.

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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: 2. Write an algorithm which uses projected quasi-Newton directions to mini- mize F(x) subject to…

A: The objective is to write an algorithm which uses projected quasi-Newton directions to minimize F(x)…

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…

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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 =…

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Q: Digitize the line with endpoints (30,20) and (40,28) using Bresenham’s line-drawing algorithm and…

A: Let A=(x1,y1)=(30,20)and B=(x2,y2)=(40,28)△x=x2-x1=10,△y=y2-y1=8Decision…

Q: | (a) Using the Euclidean algorithm, find a particular solution of the linear Diophantine equation…

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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: Row-redluction is applied) to the augmented matvix (AIE) to given (Il6) in (AI) = n four streps,…

A: Given: (A | I )=112-10-43210100010001To obtain :(I | B) from (A | I )

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…