Use simplex method in finding your solution Minimize 3X1 + 5X2 + 5X3 + 4X4 Subject 8X1 + 2X4 s 100 4X2 + 3X3 = 90

Q: Solve: Minimize C = 2x + 10y, subject to: 5x + 2y ≥ 40 x + 2y ≥ 20 y ≥ 3 , x ≥ 0

A: Minimum value of C=58

Q: Solve using the Graphical Method: Minimize z = 3x, + &x2 subject to X1 + x2 2 8 2x, – 3x2 s 0 xị +…

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Q: a rectangular garden area of 340 square feet is to be surrounded on three sides by a brick wall…

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Q: A rectangular box with a closed top is being designed. The material for the top and bottom costs 60…

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Q: minimize Z - 3x, + 6x2 pubject to 3x, + 2r, s 18 X + x2 2 5 XI 54 x2/x, s 7/8 X1. X2 2 0

A: The step-wise graph is drawn and shown below follow these to reach the answer.

Q: Use Lagrange multipliers to find three positive numbers whose sum is 51 and the sum of whose squares…

A: To find- Use Lagrange multipliers to find three positive numbers whose sum is 51 and the sum of…

Q: Minimize p = -2x + 4y subject to ( 2x + 3y 2 30, x - y 0, y > 0.

A: Given the LPP problem:                                  Min.p=-2x+4y     2x+3y≥30       x-y≤15…

Q: Use Simplex method to Maximize Ζ = 4x1 +10x2 Subject to  2x1 + x2 ≤ 50                    2x1 +…

A: Solution

Q: Use Lagrange multipliers to find three positive numbers whose sum is 30 and the sum of whose squares…

A: We have find three numbers whose sum is 30 and whose squares is as small as possible, by lagrange…

Q: Use Lagrange multipliers to find three positive numbers whose sum is 18 and the sum of whose squares…

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Q: Maximise 1170x1 + 1110x2 Subject to: 9x1 + 5x2 ≥ 500 7x1 + 9x2 ≥ 300 5x1 + 3x2 ≤ 1500 7x1 + 9x2 ≤…

A: Graph all the inequalities using a tool.

Q: Solve. Maximize P = 4x + 3y, subject to: 3x + 5y ≥ 20 3x + y ≤ 16 – 2x + y ≤ 1 x ≥ 0, y ≥ 0

A: The given linear programming problem is, Maximize P=4x+3y3x+5y≥203x+y≤16-2x+y≤1x≥0,y≥0

Q: 5x, + 3x2 2x, + 5x2 2 10 3x + x22 6 X + 7x2 2 7 Minimize subject to and x 20, x2 2 0.

A: We use graphical method to solve the given problem Minimize 5x1+3x2 Subject to 5x1+3x2 ≥10   3x1+…

Q: Graph the feasible region. x + y 2 3 -x + y 2 1

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

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Q: Use the simplex method to maximize the following:

A: We have to find the solution by Simplex method for the given maximization problem…

Q: You want to build a pen against a wall with 18ft of fencing, you want to maximize a rectangular pen…

A: Solve the following

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

A: Let us take P = 5x + 5y, now we can form the tables for the constraint inequalities and then solve…

Q: Minimize: Z = 3X₁ + 5X₂ + 5X3 + 4X Subject to: 8X₁ + 2X4 ≤ 100 4X2 + 3X3 = 90 X₁ > Q

A: The given LPP is  Minimize Z=3X1+5X2+5X3+4X4subject to 8X1+2X4≤1004X2+3X3=90X1,X2,X3,X4≥0 Add the…

Q: Maximize P3D3X+3y Subject to 2x+y s 10 x+2y s 8 X, y 2 0

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Q: Forwarded Maximize z = 2x1 + 3x2 subject to 5x1 + 7x2 \leq35 4x1 + 9x2 \leq36 x1, x2 \geq 0 and…

A: Maximization of a linear programming problem is carried out to obtain a solution that follows all…

Q: Use the duality method to solve each linear programmin 1. Minimize Z = 29x,+ 10x2 subject to: 3x,+…

A: Given that  Minimum z=29x1+10x2subject to 3x1+2x2≥2                   5x1+x2≥3…

Q: X1 + x2 + X3 = 6 2х, - х, + 4х3 —D 12 2x1 (-Зх, + 2хz — Хз — —4 X3

A: As per Bartleby's answering policy, we can answer only one question, so kindly post the next…

Q: The model Maximize 30x + 40y Subject to: • 30x + 31y = 0

A: Write the set of values for corner points.

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: The maximum value of f(x, y) subject to the constraint g(x, y) = 280 is 5500. The method of Lagrange…

A: Consider the given information:

Q: Solve the optimization problem. Maximize P = x y with x + 2y = 36. P =

A: to maximize p

Q: What can be changed to have a bounded solution for this model? Explain by solving it.  Max Z= 3x1 +…

A: The constraints of a linear programming problem decide the feasible region of the problem. If the…

Q: solve with simplex and do at least two step minimize f=5x1+4x2-x3 subject to; x1+2x2-x3>=1,…

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Q: Please use graph to find the solution. The problem here is to minimize C = 6x + 8y subject to 40x +…

A: We will find out the required minimum value.

Q: A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the…

A: Assume that the length of the base of the square be x and height be y. Since the volume of the box…

Q: minimize c= -x+2y subject to y or equal to 4 x> or equal to 6 x+ y < or equal to 16

A:

Q: Find solution using BigM method MAX Z = 6x1 + 4x2 subject to x1 + 2x2 = 0

A: We have,

Q: 4. Use Big M method to solve the example. Minimize 2 = 2x1 + 3x2 Subject to 2x1 +x224 -xl + x2 s1…

A: The objective is to solve the linear programming problem Minimize Z=2x1+3x2 Subject to…

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: Use the Lagrange multiplier method to solve Minimize z = x} + x + x Subject to x, + 2x, + 3x3 = 7…

A: We have to solve the following problem using the Lagrange multiplier, Min z=x12+x22+x32 Subject to :…

Q: Solve Beaver Creek Pottery Company problem (in Ch. 2). Maximize Z = $40x1 + $50x2 subject to 1x1 +…

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

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Q: Minimize Bubject tos * +2x2+3x3-12 0 X2+ 2xg +3x4-4 0 by direct substitution method.

A: Given, fx=x1-x22+x2-x32+x3-x44---1 subject to the constraints x1+2x2+3x3-12=0…

Q: Maximize z= 14x, +3x,

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Q: Use the two phase method to find solutions. minimize aX1 + bX2 subject to X1+ 3X2 =3 X1,X2 > 0

A: The given problem is : Minimize z=ax1+bx2 subject to x1+3x2=3                  x1,x2≥0 Converting…

Q: Find the multiple solutions. Maximize  z = 45x1 + 30x2,  subject to 2x1  +  9x2  ≤  144 2x1  +…

A: z=45x1 +30x2subject to 2x1 +9x2 ≤1442x1 +3x2 ≤603x1 +2x2 ≤75x1 ≥0 , x2 ≥0  To find : Maximum value…

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

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Q: Find the optimal solution by simplex method 3 Max Z = x, – 150x, + 4 1 ち- 6x。 50 6X4 s/t 25x, -…

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Q: Q4. Solve graphically. minimize 4x, + 2х, Subject to: х, + 2х, 2 2; Зх, + х, 2 3; 4х, + 3x, 2 6; X;;…

A: Given: 4x1+2x2=Z Subject to constraints : x1+2x2≥2 3x1+x2≥3 4x1+3x2≥6 x1;x2≥0

Q: What necessary conditions are replaced by "minimize"? obeyed by a solution to (1) if "maximize" were

A: To write the  necessary condition for min ∫t0t1F(t,x(t),x'(t))dt with x(t0)=x0

Q: Find solution using graphical method and then solve it by using LINGO Maximize Z = 15x1 + 10x2…

A: Given LPP problem is  Maximize Z=15x1+10x2 Subject to  4x1+6x2≤3603x1≤1805x2≤200x1,x2≥0 To solve the…

Q: Maximize Subject to · P= 30x +4082 2x₁+x₂ ≤ 30 X₁ + X₂ ≤21 *₁+2x₂ ≤ 36 X₁ X₂ 20

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