Q.4// Use Big-M method to solve the Mathematical model (Stop at Table 3) Max Z = X1 + 3x,+ 4x3+ 5 S.t. 4x1+ 3x2+ 2x3 +x4<10 X1 - X3+2x4= 2 X1+x2+x3 +x21 X1, X2 ,X3, X4> 0

Q: . Consider the following problem max 10 (1-s)√kdt s.a. k= s√k k(0) 1, k(10) libre, s(t) = [0, 1], Vt…

A: As per the question we are given a constrained optimization (maximization) problem. And we have to…

Q: Solve the given L.P. problem by the graphical method. Maximize  Z = 50x1 + 60x2…

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Q: 2(a) Discuss the solution of this initial valued problem (IVP); xe* y' = 5y4+2e2y %3D y(0) = 3 %3D

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Q: 7) Show that if ties are broken in favor of lower-numbered rows, then cycling occurs when the…

A: In this question, concept of Simplex Method is applied. Simplex method:The simplex approach is a…

Q: Use Euler's method with step size .25 to compute the approximate y-values y1, y2, y3, and y4 of the…

A: To find- Use Euler's method with step size 0.25 to compute the approximate y-values y1, y2, y3 and…

Q: Solve the problem using simplex algorithm Max Z= 6X+6Y S.T X+3Y≤2 2X+2Y≤5 X,Y≥0

A: The given linear programming problem is                                  Maximize Z=6x+6y…

Q: EXAMPLE (9): Use the finite difference method to approximate the solution of the boundary- value…

A: The given question can be solved as shown in step2

Q: Show that this model has an unbounded solution by Big M Method.  Max Z= 3x1 + 6x2      s.to 3x1 +…

A: Consider the provided question,

Q: Consider the following constrained maximization problem: maximize y = x1 + 5 ln x2 subject to k - x1…

A: We have to maximize y = x1+ 5×ln×x2, the given constraint is k-x1-x2 = 0.  The constraint can be…

Q: Solve the followina problems: 2. Find the critical numbers of y =2x2 – x4

A: Given, The expression y=2x2-x4 We have to find the critical numbers of the expression.

Q: 5. Solve the following maximization problem U (x, y) = x³ +24y max {x,y} s.t. x + 2y = 10 where x 20…

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Q: Solve by the Big M – method: Maximize Ζ = x1 + 2x2 + 3x3 − x4 Subject to x1 + 2x2 + 3x3 = 15 2x1 +…

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Q: Consider the following Simplex problem: Max. Z=: 3X1 + 5X2- -(OF) Subject to: X1 + 6X2 less than or…

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Q: Consider the LPP: Max. z = 120 x1 +100 x2 %3D S. t. 2 x1 + 2 x2 s 8 5 x1 + 3 x2s 15 X1, X2 2 0 One…

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Q: Consider the LP model below: Max z = x1 + X2 S.t. 4x, + х, < 100 X1 + x2 < 80 X1 < 40 X1, X2 2 0…

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Q: 10) Solve this linear problem using the Big M method. Min z = x1 - 2x2 + x3 Subject to: xl + x2 -x3…

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Q: Q 6/Find the optimal solution for the following (LP) model by using Algebraic and graphic method…

A: Solution Using Simplex Method -

Q: Consider the following LP: max z = 21 – 4x2 s.t. x1 - x2 0. (a) Write down the dual of this LP.…

A: given  Solve Dual problem by Big M method...  .

Q: 2. Solve the following LP with simplex method: Maximize z = 2x1 + x2 X1 - x2 s 10 2x1 < 40 X1, x2 20

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Q: . Solve by optimal control the problem: max 68. s.t. [ (ux − u² − x² )dt 1 x'=x+u, x(1)=2, x(5) =…

A: As per the question we are given a optimization problem where we have to find the optimal control…

Q: SOLVE THE FOLLOWING LP PROBLEM USING BIG M - METHOD MINIMIZE Z = 600 x1 + 500x2 subject to: 2x1 + x2…

A: Given:       MINIMIZE  z=600x1+500x2      Subject to:              2x1+x2≥80               x1+2x2≥60…

Q: Q2) Consider the following LP problem and its optimal solution. Max z = 4x1 + 7x2 x1 х2 St Зx1 + 6х2…

A: If we have primal for the from ' Max Z = CTX Subjected to: AX≤B (constraints)and X≥0 Let 'n' be no.…

Q: b. Max z= xi+ x2 Sut. 2x1 + x2 0

A: Answer

Q: 2(a) Discuss the solution of this initial valued problem (IVP); xex y' = 5y4+2e2y y(0) = 3

A:

Q: The solution to the problem. =b, max f(x, X2. Xg)=x, + Xg subject to for b, =1 and by =2 is (k,X)=2,…

A: Given- The solution to the problem  max fx1, x2, x3 = x1 + x3subject tox12 + x22 = b1x1 + x2 + ex3 =…

Q: Solve the following minimization problem: min 4x1 4x2 X3 2 X2 X3 s.t. x1 3x3 2x1 X2 X1, X2, X3 VI ΛΙ…

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

Q: Consider the following L.P. Problem: Max.Xo= 3 x1 +12 x2 Subject to: 2x1 + X2 ≤12 3x1 + 4X2 ≥ 21…

A: The given LPP is            Max   X0=3x1+12x2 subject to:           2x1+x2≤123x1+4x2≥21x1≥3x1≥0,…

Q: 1. Solve each of the following LP with simplex and diagram method: Maximize z = 2x1 + 4x2 Min z =…

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Q: What is the value of m if y=mx<-2x-3 has a critical point at x=-2?

A: Given y=mx2-2x-3

Q: Use Euler's method with step size 0.5 to compute the approximate y-values y,, Y2, Y3, and y4 of the…

A: Given that y'=-1-3x-2y and y(1)=5 Step size h=0.5 Compute y1, y2, y3, y4 Using Euler's method

Q: Use the Big-M method to find an initial basic feasible solution for the following LP: max z = 3x +…

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Q: 2 Find the optimal solution to the following madhah problem max z Ax +B x2 A=6 s.t. 2x, + 4x2 s 12,…

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Q: 22x1 + 44x2 + 33x3 subject to x1 + 2x2 + x3 > 3, x1 + x3 > 3, 3x1 + 2x2 + 2x3 > 8 using two…

A: i) Dual problem: Primal is  MIN Zx =   22 x1 + 44 x2 + 33 x3 subject to     x1 +…

Q: Solve the following LP problem. Use the M-method to handle artificial variables. Minimize 4x1 + x2…

A: Given that Minimize 4x1+x2 Subject to  3x1+x2=34x1+3x2≥6  x1+2x2≤4        x1,x2≥0

Q: 3t yy"2y

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Q: Solve the following LP problems using the simplex method Question 1 max Z= 3x,+ 2x,+ x3 s/t 2x,+…

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Q: 2. Solve the initial integer solution of the given integer problem. Use the graphical method.…

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Q: Solve the following LP with simplex method: Maximize z = 2x1 + x2 X1 - x2s 10 2x1 S 40 X1, X2 2 0

A: For the given LP, Maximize z=2x1+x2, Subject to x1-x2≤10, 2x1≤40, x1, x2≥0, We will use graphical…

Q: 1. Consider the following LP: Maximize z = x, + 3x, subject to *, + x, < 2 - x, + x, 5 4 x,…

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Q: 1. Solve the following LPP using Big M Method Minimize Z = 600x1 + 500 x2 Subject to 2x1 + x2 >= 80…

A: As per Guidelines only first question is solved. For other question please resubmit the question.

Q: 1. Solve the given LP problem using Big-M method. Complete the table and find the optimum solution.…

A: Here the problem is maximization problem and the problem is in standard maximization form. Here M is…

Q: - EXAMPLE 3 Find the particular solution of 3xy' y = lnx + 1, satisfying y(1) = -2. x > 0,

A: It is a first order differential equation.

Q: Solve this problem by the Big M and also solve by the two phase method Minimize X +2 x - ן2x Subject…

A: Problem is Max Z =   2 x1 -   x2 + 2 x3 subject to     x1 + 2 x2 + 3 x3 ≤ 5…

Q: 18. Solve the following problem using the simplex method. At each iteration, locate the basic…

A: Given LPP is  Max Z=40x1+30x2 subject to 23x1+12x2≤2015x2≤535x1+310x2≤21x1,x2≥0 The canonical form…

Q: Consider the following LPproblem 2x1+3r2 marimize z = %3D 3x2 0 (non negativity const a. The…

A: Let us solve this problem graphically Let us consider the 1st constraint as -x1+3x2=12 x1 0 -12…

Q: sid c Use the Gaus5-Seidel method to find approximate solutions to -21 +3x2 + x3 = -4 2x1 + 2x2 +5x3…

A: Solution: Using the Gauss-seidel method to find solution -x1+3x2+x3=-42x1+2x2+5x3=14x1+x2-x3=5…

Q: 2. Using Gauss-Seidel Method, obtain the solution to the system X1 +5x2 + 3xX3 = 30 3x1 + 7x2 + 13x3…

A: The coefficient  matrix is 1 5   33 7  1312 3-5, now this matrix is not diagonally dominant, we can…

Q: • Consider the following LP: maximize 2x1+ 5x2 s.t. -x1 + 2x2 < 5 2x1 + 3x2 < 12 X1 + x2 2 -1 X1, X2…

A: We are given the following LPP problem : maximize 2x1 + 5x2 s.t. -x1 + 2x2 ≤ 5 2x1 + 3x2 ≤ 12 x1 +…

Q: Solve the LP problem in example 3 using Big-M method. Complete the table and find the optimum…

A: We have to solve the maximization problem by big M method. In which from the given problem we…

Q: Solve the given LP problem using the Simplex Method Minimize: Z = 25x1 + 35x2 Subject to: 3x1 + 4x2…

A: The given problem is to solve the given linear programming problem using the simplex method with…