Maximize z = 3x1- 8x2 X1 – 2x2s 10 X1, X2 20 Subject to Construct the dual problem

Q: 1 Maximize Z = 2x + 2y subject to 2x-y 2 -4 x- 2y 54 x+y 6 X,y20

A: Given: Maximize  Z=2x+2y Subject to, 2x-y≥4                   x-2y≤4x+y=6x, y≥0

Q: If P(x) = 3+ 5x – x represents the profit in selling x thousand Boombotix speakers, how many…

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Q: Maximize P= 7x+9y Subject to: 2x+ y12 x, y 20

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

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Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

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Q: Minimize C =-4x - 7y %3D Subject to 6x+ 2y < 40 2.x +3y < 50 x 20, y 2 0

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Q: If a company has total costs C(x)= 14,000 + 15x + 0.2x2 and total revenues given by R(x) = 285x -…

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Q: Minimize c = 6x + 14y Subject to the constraints: 14x + 7y 2 43 3x + 7y 2 21 -x + y 2 -5 x, y 2 0

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Q: Махітіze f = 3x + 20y, subject to 14x + 7y < 35l 5x + 5y < 50 (Use simplex method to solve the…

A: simplex method table

Q: Solve the optimization problem. Minimize F = 3x2 + 3y2 with xy2 = = 16. F =

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Q: Maximize : P=25x +30y Subject to : 3x -2y < 0 ys 3 x + y 2 5 X-ys5 x 2; y 2 0

A: Given:        P = 25x  +30y       3x- 2y ≤ 0    y ≤ 3x + y ≥ 5x - y ≤ 5 x ≥0 ; y≥0

Q: Maximize P = 10x1+ 2x2 subject to X1+ x2 0

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Q: Determine the optimal solution to this problem using simplex: Maximize 2x1+ 3x2 Subject to 3x1 +…

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Q: Minimize the objective function: f = 5x1 - 20x2 Using Simplex Method Subject to the constraints: -21…

A: We have the Linear Programming Problem Min f = 5x1 - 20x2subject to-2x1 + 10x2 ≤ 52x1 + 5x2 ≤ 10

Q: Solve the optimization problem. Minimize F = 20x² + 20y² with xy2 = 16. %3D F =

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Q: Find the number of units x that produces a maximum revenue R for R=450x-0.25x^2  A.) The feasible…

A: taking first derivative of equation as 0 to get the maximum revenue

Q: Maximize Z = x, + 2r, + 4x3, subject to 3x, + 2+5x, S 10 +4x2 + X3 S 8 2x, + 2r, s 7 and 13 2 0.…

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Q: Maximize Z = 19x1 + 8x2 subject to 9x1 + 16x2 0

A: Consider the given problem.

Q: 1.Solve the problem below by using computer solution Maximize Z = 3x1 + 6x2 Subject to : 3x1 + 2x2…

A: We solve the problem by using computer by using (Big - M) Simplex method.

Q: Solve the optimization problem. Maximize P = xy with x + 2y = 42. %3D P =

A: Solve maximum using Legranges multipliers method

Q: If a company has total costs C(x)=45,000+35x+.3x2 and the total revenues given by R(x)=625x-.7x2,…

A: The given cost function is C(x)=45,000+35x+.3x2. The given total revenue function is R(x)=625x-.7x2.…

Q: Maximize Z = 20x1 + 8x2 subject to 16x1 + 8x2 0 %3D

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Q: The main objective of the operation research is To find an optimal solution for a real world problem…

A: The main objective of the operational research is to find an optimal solution for a real world…

Q: Maximize 3x + 3y Subject to 2x + y <= 150 2x + 3y <= 300 Find the optimal solution for the above…

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Q: Maximize Z = 2x1 + x2; Subject to x2 ≤ 10 2x1 + 5x2 ≤ 60 x1 + x2 ≤ 18 3x1 + x2 ≤ 44 and x1 ≥ 0, x2 ≥…

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Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

A: It is given that the total revenue of the company that produces x units of racing bicycle and y…

Q: Maximize z = 3x1 + 4x2 Subject to x1 + x2 ≤ 4                   2x1 + x2 ≤ 5                   x1 ≥…

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Q: Maximize P=5x-5y   subject to 2x+y≤30 x+2y≤24 x,y≥0

A: We can use the graphical method to find the maximum value of P for this linear programming problem.

Q: Find the maximum possible value of f = 400x +300y and the values of x and y that give that…

A: The given LPP: maximize  f=400x+300ysubject to,3x+2y≥62x+y≤7x, y ≥0 Sketch this region and locate…

Q: 1) Maximize z = 4x1 + 2x2 subject to: 2x1 + 3x2 <6 X1 + 3x2 < 4 2x1 + 2x2 <8 X1 20, x2 20 with

A: Here we solve the given problem of LPP by simplex method.

Q: Construct the dual problem. Minimize  z = – 5x1 – 15x2

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Q: Solve the optimization problem.  Maximize P = xy with x + 2y = 38. P =

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Q: Maximize z = 2x1 + x2  subject to: x1 + x2 ≤ 71  3x1 + x2 ≤ 175   x1 ≥ 0, x2 ≥ 0

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Q: Q3) Find the optimal solution by using graphical method: Max Z = x, + 2x2 2x1 + x2 S 100 X1 +x2 < 80…

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Q: Find the minimum Cost of C(x) = 24x^2 - 820x.

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Q: 2. Try to solve the objective function as z=-12x+24y, and the restriction formula is 0<x<15, 0sy<10,…

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Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

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Q: Use the simplex or two-phase method to solve the following problems. maximize : + subject to: x,+…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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: 2. Maximize Z = 8x +6 x Subject to: 10x,+ x2s 12 2x1+ 5 x2s 16 X120 HNA

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Q: Q4. Solve the following problem using the simplex method: Minimize z = x- 4y Subject to 2x - 3y <6 x…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity, use variables  the given…

Q: Analyze and solve LP problem below by graphical method Minimize C= 6x +16y Subject to:  x+y=400…

A: Solution of LPP by the graphical method: After formulating the linear programming problem, our aim…

Q: Try This Out! Simplex Maximization Problem Z = Subject to: -X1 + X2 0 X22 0 Maximize: 4x1 + 6х2

A: Convert the problem to canonical form by adding slack, surplus and artificial variables as…

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: Solving the following problem by the simplex method,…

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Q: Maximize 14x – x^2 + 6y – y^2 + 7 subject to x + y <= 2, x + 2y <= 3.

A: Maximize z=14x-x2+6y-y2+7 Subject to, x+y≤2x+2y≤3 The graph is,

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

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

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Q: Maximize z = 18x1 + 16x2 Subject to 15x1 + 25x2 < 375 24x1 + 11x2 < 264 X1, X2 2 0 ard

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