2. Solve the following LP model using the simplex method. Minimize z = -4x, + 6xz – 2x3 + 4x4 Subject to: X, + 2x, + 2x3 + 4x, 5 40 2x – x2 + x3 + 2x4 S 8 4x – 2x2 + x - x4 5 10 X1, X2, Xy, Xg 2 0

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. Solve the following LP model using the simplex method. Minimize z =- 4x1 + 6x2 – 2x3 +4x4 Subject…

A: The objective is to solve the linear programming model using simplex method. Minimize…

Q: 1. Maximize using the Simplex Method f = 3x + 10y subject to 14x + 7y < 35 5x + 5y < 50

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Q: solve the liner system : 2X + 3Y -Z = 6 2X - Y + 2Z = -8 3X - Y + Z =-7 Using the​ Gauss-Jordan…

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Q: Solve the following LP model by Simplex Method and find x1, x2 and x3 Max Z= 4x1 + 2x2 +2x3 s.to 3x1…

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

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Q: 2. Solve the following LP problems by simplex method: Maximize: P = 12x + 3y +z Subject to: 10x + 2y…

A: The given problem is to solve the linear programming problem simplex method for given constraints.

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: subject

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Q: 4. Use the simplex method to find a basic feasible solution that maximizes Z = 2x+7y subject to the…

A: It is given x≥0 and y≥0 - 4x + 2y ≤ 8   , taking 2 common outside  2(-2x + y) ≤ 8 - 2x + y ≤ 4…

Q: Solve the given problem using the simplex method. Minimize: C = 5x +6y Subject to: x + y = 1000 x =…

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Q: b) Consider the following LP problem. Minimize z = 2x₁ + x₂ Subject to 3x₁ + x₂ ≥ 3 4x₁ + 3x₂ ≥ 6 x₁…

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Q: Given is the following LP-problem. max Z = 7x1 + 5x2 + 6x3 + 8x4 + 2x5 4.x1 + 121 + 3x2 + 4.r3 + 5x4…

A: We solve the lpp by simplex method. And then find the dual problem of the given primal problem. To…

Q: Solve the following LPP problem by using graphical method: Maximize: Z = cx + dy C=3 d=9 Subject to…

A: Let's find.

Q: Solve the following LP model by Simplex Method and find x1, x2 and x3.  Max Z= 4x1 + 2x2 +2x3…

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Q: Suppose following simplex table:     2 3 1 -1 0 0 -100         x1 x2 x3 x4 x5 x6 x7…

A: To complete the given simplex table, compute the values of Z-C and Z.     2 3 1 -1 0 0…

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

A: Answer

Q: 3. Solve the following LPP problem by using graphical method: Мaximize: Z 3D сх + dy Subject to the…

A: First plot the constraints and shade the bounded region AB is the line x+2y=40 AD is the line…

Q: Q4: Find 4x al S(2e2x + 2x2+10 b/ S(2e2x – x-2 + –)dx , x #0 2x c/ S 2x³dx d/S Vx5 dx el S- dx, (x +…

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Q: b) Consider the following LP problem. Minimize z = 2x₁ + x₂ Subject to 3x₁ + x₂ ≥ 3 4x₁ + 3x₂ ≥6 x₁…

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Q: : Solve the following linear system using two iteration of G-S method. бх1 + 2х, — Зхз —D 5.7 -7x2 +…

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Q: Solve the following LP model using the simplex method.  Minimize z = −4x1 + 6x2 − 2x3 + 4x4…

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Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z- 2x +y Subject to: 2x + y56…

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Q: Solve the following linear program by the solver method. Minimize: C = 3x + 5y Subject to: 3x + 5y…

A: Firstly, make the table in the excel as given in the figure above. Add the constraints , its signs…

Q: Solve the following LP model using simplex method. Maximize Z=x1+2x2+X3 Subject to: X1+0.5x2+0.5x351…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Maximise z - 17.5x + 7 . (1) subject to the constraints, x + 3y s 12 . (2) 3x + ys 12 . (3) X, y 2 0…

A:

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A: Given that: q=6−x+22−y2 Constraint: x2−y2−4y−8=0

Q: Consider the simplex tableau given below. X1 X2 S1 $2 S3 4 1 1 6 3 3 1 10 2 1 -4 -2 1 4 A) The pivot…

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Q: lem. |Y2 |Y2 riables of x, and x2, write the initial system for the dual problem. plex tableau for…

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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: 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

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Q: The following tableau is optimal but infeasible. Follow the dual simplex method to cover feasibility…

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Q: Maximize z = 8x + 2y, subject to the following constraints. (If an answer does not exist, enter…

A: Given the equation: z=8x+2y constraints: 2x-5y≤10; -2x+y≤2; x≥0; y≥0   To find the maximum value of…

Q: Determine the pivot column and the pivot element, and perform all the row operations for the entire…

A: The intermediate simplex tableau is given as follows: p x1 x2 s1 s2 RHS 0 0 1 12 -12 32 0 1 0…

Q: c) (i) Use x. and x.as the initial basic variables and apply simplex method to solve: Maximize: z =…

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Q: Use the simplex method. Minimize g = 10x + 9y + 12z subject to x + y + z 2 6 y + 2z 2 2 x 2 5. (х,…

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

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

A: In order to apply the dual simplex method, we convert Min Z to Max Z and all ≥ constraint to ≤…

Q: Solve the following LP model by Simplex Method and find x1, x2 and x3. Max Z= 4x1 + 2x2 +2x3…

A: According to the given information, it is required to solve the given LP problem using simplex…

Q: Q3 Solve the following linear programing problem by using the Simplex method: T = 4x + 3y x + y 0…

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Q: Consider the problem of maximizing the algebraic expression q given by q = V6 – (x + 2)² – y²…

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Q: Use the revised Simplex method to solve the following LP model: min z = 3x, + x2 + 3x3 s.t. X1 - x2…

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Q: Point A// For the following LP model, determine the optimal solution using the .simplex method Max…

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Q: Determine the pivot column and the pivot element, and perform all the row operations for the entire…

A: The intermediate simplex tableau is given as follows: p x1 x2 s1 s2 RHS 0 0 34 1 -14 15 0 1…

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Q: Give the conditions for Simplex method to be applied, then find the optimal solution of the…

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Q: Solve the following LP problem by hand using the Simplex Method. Problem: Maximize: x + 5y subject…

A: To solve the linear programming problem using the simplex method use the Big M method. For that…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.