Q2): Dual problem below: Min Z = 120yı + 6y2 + 105y3 Subject to : 3y1 + 5y2 + 8y3 2 3 10y, + 2y2 + 10y3 2 4 5y1 + 8y2 + 3y3 > 1 Y1. Y2, Y3 20 1) Convert dual problem to primal problem 2) Use the simplex method to find optimal solution in primal problem

Q: Solve using Lagrange Mult ipliera, fenal anewere phould have 4 decimal placia. Find the maximum and…

A:

Q: Write the dual maximization problem, and then solve both the primal and dual problems with the…

A: Converting the given problem in standard form, using surplus and artificial variable. Max g =…

Q: 2. Maximize z = 2x₁ - 1x₂ + 3x3 Subject to: 1x₁ - 5x₂ + x₂ ≤ 10 - - 2x₁ − 1x₂ − 1x₂ + ≤ 40 X₁, X₂,…

A:

Q: Solve applying the simplex method to the dual problem. Minimize C="6y,+8y, +12y3 Subject to y+3y,…

A: Introduce the dual variables x1, x2 and x3, to write the dual problem of the given primal problem.…

Q: Solve using the simplex method. Find x, 20 and x, 2 0 such that X1 + 2x2 2 24 X1 + X2 5 40 and z =…

A:

Q: max -221 +372 21.72 s.t. 1+1222, 221 +2₂ ≤ 4, #1 20, 2₂ ≥ 0. (a) Write down the equivalent LP…

A:

Q: Solve the given LP problem using the Simplex Metho Маximize: Р%3D 12х + 15у + 5z Subject to: 2х + 2y…

A:

Q: use the simplex method te maximize the ASsume all varables are nonnegative, Maximize f=Dxt12y+42…

A: The given linear programming problem is                                                  Maximize…

Q: Minimize C=5x+y, subject to 3x+y>30, x+4y>10, x,y,>0 Standard minimization / dual problem a)change…

A: We first change the problem  to a maximization  problem by the technique of dual finding  method.

Q: Consider the problem Maximize Ζ = 2x1 + 3x2 + 4x3 Subject to  2x1 + 3x2 + 5x3 ≥ 2…

A: Given that, The problem Maximize Ζ = 2x1 + 3x2 + 4x3   Subject to 2x1 + 3x2 + 5x3 ≥ 2…

Q: Solve the following LP problems using Simplex Method. Minimize P = y1 – 3y2 + 2y3 Subject to : Зу1 —…

A:

Q: subject to: Max z 4x12x2 + x3 2x1 x3 = 5 x2 + 3x3 3x1 + x₂ ≤ 6 X1, X2, X3 20 - -7

A:

Q: Suppose a problem is in canonical form and the associated basic feasible solution is degenerate, and…

A: Consider the provided question, We have to describe a new basic feasible solution. In a system,…

Q: الوضوع Solve by simplex method the following.Linear prablem : Max Z= 2 Xx +3 Xz stabject to: - 1) X,…

A:

Q: sing Lagrange Multiplier, what are the maximum and minimum values of f(x,y) = 4x³ + y² subject to…

A:

Q: H.W / Find the dual problem of the following L.p primal problem: 2) Max Z=x1- X2 Sub.to 2x1+x=5 3x1-…

A:

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

A:

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

A:

Q: 2) Min Z = 5x1 +6x2 X1+ 9x2<60 2x1+3x2 <45 5x,+ 2x2220 Sub. to X1, X2 20

A:

Q: Q1/ Use the simplex method to Solve the following problem? Max Z= 8 x1 + 10x2 + 7 x3 Subject to: x1…

A: The given problem is a maximization problem. So we first write in the standard form by introducing…

Q: (d) What is the optimal solution of the original problem that you have obtained? What is the optimal…

A: (a) Optimal Solution:Let's start by solving the equality constraint : Now, substitute this value of…

Q: Use the simplex method to maximize subject to P = P=3x₁ + 6x₂ + 4x3 -₁ + -21 + I1 + *₁ ≥ 0 2 + 73 <…

A: Maximize Subject toUsing simplex method we have to find the value of .

Q: Minimize Z= 22, +422 Subject to constraint 2 +3x2 S48 2i+3x2542 )use Dynamic Bropramming to solue.…

A: (a) Dynamic programming: Since all constraints are bounded above. We convert this into a…

Q: Q1\\ Use the dual Simplex to solve the following LPP Minimize z = 2x1 + 3x2 + 4x3 + 5x4 subject to…

A:

Q: 6) Use Lagrange multiplier method to find the extrema of f(x1, Xz. -. , In) = x, + x2 + +x, subject…

A: Given, f(x1,x2,....xn)=x1+x2+x3+.....xn,  constraint x12+x22+x32+....+xn2=1 now equation we need to…

Q: Consider the following LP: Subject to Maximize z = x₁ 5X + X2 = 4

A: Given,  Maximize z=x1, Subject to                5x1+x2                    =46x1         +x3…

Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

A: We have to find the optimum solution of given LPP using graphical method.

Q: Minimize c=2x+10y subject to x+3y > 10,  3x+4y > 20 x,y, >0 using simplex method.

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

Q: min X2 subject to X2 = 1 X1, X2 > 0

A:

Q: 3) problem ín standard form. Do not solve the LP problem. Convert the following LP problem into a…

A:

Q: Q.No.4.a. When problem become unrestricted after changing primal to dual simplex Method justify your…

A: Given information:Minz=x1−3x2+3x3Subjectto:3x1−x2+2x3≤72x1+4x2≥−12−4x1+3x2+8x3≤10x1,x2,x3≥0To find:…

Q: Max Z = 3X1 + 2X2 Subject to: X1 + 2X2 =0 a) Find the optimal solution of the duality using the Big…

A: Max Z = 3x1+2x2Subject to:  x1+2x2≤6 2x1+x2≤8-x1+x2≤10.x1+x2≤2;After introducing slack variables Max…

Q: 3) f(x1, x2) = -2x + 3x² - 8x1x2 + 3x1 + 3x2 Restrictions 3x² + x2 = 10 4x + 2x² = 12 Solve the…

A: ## Resolving the Equation System: Now let us solve the system of equations for x1, x2, λ₁, and λ₂…

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 LPP by using Big M method Maximize z = x1 + 5x2 subject to 3x1 + 4x2 s6 x1 + 3x2 2 2 x1,…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: Maximize Z = 5x1+12x2+4x3 Subject to, x1+2x2+x3 =0

A:

Q: Analyze algebraically what special case in simplex application is present in each of the LP model…

A: Given Maximize z = 3x1 + 2x2    Subject to: 4x1 - x2 ≤ 8                      4x1 + 3x2 ≤ 12…

Q: a) Maximize z = 4x1 + 2x2     Subject to: 2x1 - x2 ≤ 2                       3x1 - 4x2 ≤ 8…

A: These are the problems of optimization, and the subtopic is LPP. To find the special features in…