Solve the following problems as a primal using simplex method and then after finding its dual. Q.NO.1 Max. Z = 13x,+11x, %3D Subject to constraints: 4x,+5x,< 1500 5x,+3x,< 1575 X,+2x,< 420 X1, X,2 0

Q: A) Solve the following LP problem using Simplex Method B) Specify the special case in this problem…

A: A Simplex method:- Given problem is Max Z=3x1+2x2 Constraints 2x1+x2≤23x1+4x2≥12    , x1 , x2 ≥0…

Q: Solve the following LPP using the simplex / Big M Method Maximize Z= 6X1+8X2 Subject to constraints…

A: We have to find solution by Simplex Method of given LPP.

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: For the dual simplex method, the problem has a feasible solution if a,, for none-basic variables is:…

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Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The trick ski…

A: According to the given information, Let x be the number of trick skis and y be the number of slalom…

Q: Solve the following LP using Simplex method Minimise Z = 60x1 + 80x2 Subject to 20x1 + 30x2 ≥ 900…

A: Given the problem is Minimise Z = 60x1 + 80x2 Subject to 20x1 + 30x2 ≥ 900              40x1 + 30x2…

Q: Solve the following LPP problems using Simplex Method: 3. Max Z = 3x1 + 2 x2 + 5x3 Subject to…

A: The given linear programming problem is                         Max Z=3x1+2x2+5x3…

Q: Maximize z = 0.3x, + 0.5x, + 1.2x3 Subject to constraint 12x, + 23x, + 12x, s 70 13x, – 52x, + 34x,…

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Q: For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic…

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Q: Use the Dual simplex method to solve the following problem and verify the solution by the graphical…

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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: In this problem we want to understand how the simplex method deals with an LP problem having an…

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Q: Use simplex method to solve the following system Махітizе Р — 0.5х + Зу + Z Subject to x +y + z < 40…

A: I am substituting  x=x1 , y=x2 and z=x3 and then solving the problem.

Q: Q1:- When problem become unrestricted after changing primal to dual simplex  Method justify your…

A: For every given LPP there exist an associated LPP, which is based on the same data and have the same…

Q: Solve the following LP problem graphically. Then set up a simplex tableau and solve the pro blem…

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Q: Q3 Solve the following linear programing problem by using the Simplex method: Maximize n= 4x + 3y x…

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Q: For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic…

A: Given the Simplex tableau and solve the part a, b and c.   Part (a):   Find the basic and non-basic…

Q: Consider the problem below and solve it using the Dual Simplex method. Maximize Z = -2x1 + 4x2 - X3…

A: Given that maximize  Z=-2x1 +4x2 -x3subject to4x1-x2-5x3≤ 222x1+3x2+2x3=12x1≥0,  x2, x3 is URS…

Q: Solve the following problem using the standard simplex method. Minimize C =-4x - 7y Subject to 6x +…

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Q: Here is a dictionary of an LP: X4 4 +3x3 -2x5 3 +x3 -x5 X2 4 +2x3 -x5 13 +5x3 -4x5 || (a) What is…

A: We are given the following dictionary of an LP.         x4=4+3x3-2x5x1=3+x3-x5x2=4+2x3-x5…

Q: For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic…

A: Given Simplex Tabuleau is, x1 x2 x3 s1 s2 z   6 -2 2 0 1 0 24 3 -4 1 1 0 0 16 7 1 2 0 0 1…

Q: 1. Max z = 2x, + X,+ 2x3 Subject to 4x + 3x2 + 8xs 12 4x, + X+ 12x,s 8 4x- X2+ 3x5 8 X1, X2, Xg 20…

A: Solve above the LPP  According to the bartleby guidelines I have to solve only first question in…

Q: Q2- An operations research analyst for a communications company has the following LP problem and…

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Q: Niki holds two part-time jobs, Job I and Job II. She never wants to work more than a total of 12…

A: here firstly we have to specify the decision variables then construct the problem in required form…

Q: x+3y<= 9

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Q: Find the maximum solution to the program: E(x, y) = 8xy² + 2x'y Subject to the constraints: 9x+4y…

A: According to the given information, it is required it find the maximum solution.

Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The trick ski…

A: according to the question

Q: Solve the following by inspection (using graph), and justify the method of solution in terms of the…

A: Given that,  Maximize z=5x1-6x2+3x3-5x4+12x5 Subject to  x1+3x2+5x3+6x4+3x5≤90x1,x2,x3,x4,x5≥0

Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The trick ski…

A: Given that the company manufactures two types of water skis, a trick ski and a slalom ski. Also…

Q: Solve the following LPP using simplex method: Maximize Z = 10 x1 + X2 + 2x3 Subject to the…

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Q: Answer if the following statements about the use of the Simplex method in a minimization problem in…

A: Step:-1 No, it is not true  that the variable that enters the base cannot exited in the next simplex…

Q: Solve the maximization problem using the simplex method: HHAximixe: : 5 +2r, subject to: 6z +…

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Q: Q 6. Solve the following primal LPP and its dual by simplex method : Max. Z, = 5x1 + 12x2 + 4x3 ,…

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Q: If during the last iteration of the simplex method, c- z equals zero for one or more of the…

A: If during the last iteration of the simplex method:

Q: Solve the following problem using the simplex method: Maximize: z=2x+3y table row cell 2 x minus y…

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Q: Solve the following linear program using Simplex method. max 40(x1 + x3) +15(x2 + x4) St. 17x1 + 5x2…

A: Given : linear program  max 40x1+x3+15x2+x4s.t.     17x1+5x2≤150     30x3+13x4≤210     x1, x2, x3,…

Q: Max z = -4X1-6)C? Subject to the constraints, lox, +4)623 つC>。X2N。 Solve by Gna phicaL Method -

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Q: Solve the LP problem using Simplex Method Maximize = 2x₁ - x2 + 2x3 subject to: 2x1 + x2 < 10 x1 +…

A: First we will convert the problem into canonical form by adding slack variables s1 , s2 , s3 . Then…

Q: Maximize the value of z = 4x₁ + 6x2, where x₁ and x₂ ≥ 0, subject to the following constraints. -x₁…

A: Given: The LP problem, Maximize, z=4x1+6x2Subject to -x1+x2≤11                       x1+x2≤27…

Q: For which b does the system 4 1 -2" Ax = 1 0 have a solution x > 0?

A: We have, Ax=41-2105x=b Now, in order to check whether Ax=b has a solution or not. First we will…

Q: Use the simplex method to find the optimal solution. Assume all variables are nonnegative.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Solve the following optimization problem using the simplex method: Maximum z = 10x, + 11x2 + 9x3…

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

Q: 3. Solve using the simplex method the following problem. TY Subject to: 2x+y<18 Maximize Z=3x+2y…

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Q: Q3 Solve the following linear programing problem by using the Simplex method: T = 4x + 3y x + y < 5…

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Q: Solving the following problem by the simplex method,…

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Q: For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic…

A: The given simplex tableau is: x1x2x3s1s2z7-11020275-2012017-8-100-2117

Q: Use the simplex method to solve the following problem and verify the solution by the graphical…

A: when minimum ratio test fail then problem is unbounded

Q: Solve the following LPP problems using Simplex Method: 4. Max Z = X1 - 3 X2 + 2x3 Subject to 3x1 -…

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