Use the Simplex method to maximize the freton z= 3x+ 212 Subject to the Constraints +22 6, 2x,+28 and -Xi+2 E1 ond 22 Fned an optimal Solution to the problem.

Q: Solve the problem Max (min) 3x² + 2y² +2² subject to the constraints z² = x² + y² and x-2z = 3

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Q: Find the maximum possible value of f = 80x + 160yand the values of x and y that give that value,…

A: Given: The objective function is f=80x+160y.            The constraints are…

Q: Use the simplex method to solve the following maximum problem: Maximize:   p=x1+2x2 Subject to the…

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Q: Find the minimum value of  z = 6x2 + y2 − xy  subject to the constraint  2x + y = 12.

A: Use Lagrange theorem

Q: Solve the linear programming problem using the simplex method. Maximize Z= 2x + 9y subject to the…

A: Consider the given problem.

Q: Solve the following problem using the simplex method. Maximize : p= 3w, + 5w2 Constraints : Wi0

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Q: Use the simplex method (in tabular form) to solve the following problem Maximize: Z=5x,+9x2+X3…

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

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Q: Use the simplex method to solve the following maximum problem: P = 4x1 + 5x2 Maximize: Subject to…

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Q: Maximize f(x,y)=x2+y2 subject to the constraint 2x+6y=26 the last question is what is the maximum…

A: Given fx,y=x2+y2 and 2x+6y=26-1Let gx,y=2x+6y-26∴ Fx,y=x2+y2-L2x++6y-26By lagrange's…

Q: Find the minimum value of z = 4x2 + y2 − xy subject to the constraint 4x + y = 8. z =

A: Answer

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

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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: Maximize the function P = 9x - 5y subject to y 2 5x + 6y s 30 8x +3y 2 24 What are the corner points…

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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: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 5x - 4y subject to the…

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Q: Solve the following problems as a primal using simplex method and then after finding its dual.…

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

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

Q: Solve the linear programming problem by the simplex method. Maximize P = 18x + 13y x + ys 12 Зх + ys…

A: Answer:----.                     Date:----30/09/2021

Q: Use the simplex method to solve the problem. Find y, 20 and y, 20 with the given constraints.

A: Given,     Min w = 6y1+y2 subject to           5y1 + 5y2 ≥ 25           5y1 + y2 ≥ 28    and   y1,…

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: Use the simplex method to solve the following z = 3x1 + 3x2 - 9x3 4x1 + 4x2 - 12x3 s 60 5x1 + 5x2 +…

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Q: Find the minimum and maximum of the function z 7z - 4y subject to 7z-3y 2 18 7z+y s 57 What are the…

A: Given z=7x-4y subject to y≥1y≤87x-3y≥187x+y≤57 We will solve it by graphical method The shaded…

Q: Find the minimum possible value of g = 60x + 10yand the values of x and y that give that value,…

A: The given LPP: minimize:  g=60x+10ysubject to3x+2y≥122x+y≥7x≥0, y≥0 Sketch this region and locate…

Q: Use the simplex method to find a basic feasible solutic subject to the following constraints: -4x +…

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: Q2) Solve the following problem using the simplex method: Maximize: z = 4x+3y x +3y s 3 - 2x +y s 5…

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

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

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Q: Find the maximum and minimum values of z=6x+3y subject to the constraints 2x+2y is greater than or…

A: From the given statement,

Q: Use the simplex method to solve the following maximum problem: Maximize:          P=4x1+2x2+5x3…

A: The solution of the problem is given in the next steps.

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: 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: Use the simplex method to solve the following maximum problem: Maximize: P 6x1 + 19x2 Subject to the…

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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: Find the maximum value of P = xy subject to the constraint 2x + y = 5

A: Given Data: Equation 1: P=xy Equation 2: 2x+y=5   Solve equation (2) for y. 2x+y=5y=5-2x…

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: The maximum value for the function f (x, y) = 2x + y – 2z bject to the constraint x2 + y? + z² = 9…

A: Here we have, f(x,y)=2x+y-2z ................................... (1) Subject to constraint…

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

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Q: Maximize x2 - y2, subject to the constraint 2x + y - 3 = 0.

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Q: Solve the linear programming problem by the simplex (y2 -2x+41 method. Minimize 10x + 4y subject to…

A: Question: Minimize Z=10x+4y Subject to                   y≥-2x+41y≤-x+36y≤-13x+14y≥-14x+6x≥0,y≥0 By…

Q: ind the optimal Solution by - Simplex method (BigM met IAX Z 11xl 10x2 + 4x3 ubject to xl + 5x2 +…

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: Find the maximum of v = xyz subject to the constraint 6x+4y+3z-24=0.

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Q: Find the maximum and minimum values of f(x, y) = 4x2 + y2 subject to the constraint x2 + 4y2 = 16.

A: The given constraint equation is: x2+4y2=16     ...(1) Consider g(x,y)=x2+4y2-16 And the function…

Q: Use the simplex method to solve the following. z = 4x1 + 4x2 - 8x3 10x3 s 95 12x3 s 128 X1 20, x2 2…

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Q: Write the dual maximization problem to solve the minimization problem using the Simplex Method, Show…

A: Here, in primal the given objective function is maximum then in dual the objective function is…

Q: Solve the linear programming problem using the simplex method. 5x + y< 30 Maximize 2x + 9y subject…

A: Solution is in step 2

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.