Solve the optimization problem. Minimize S = x + 10y with xy = 10 and both x and y > 0. S =

Q: Solve the given linear programming problem. Minimize z 6x +dy subject to x 2 0, y 2 0, x + y 2 4, x=…

A: The given subject to constraints:-  x≥0,y≥0, x+y≥4, x≤8,y≤10. Maximizing z=6x+4y

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

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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 simplex method. Maximize P=4x, +2x, +3x, Subject to x +x, + x; <11 2x, +3x, +x, < 20…

A: Given problem is, Maximize  P=4x1+2x2+3x3Subject to x1+x2+x3≤112x1+3x2+x3≤20x1+3x2+2x3≤20x1,x2,x3≥0…

Q: Find the number of units x that minimizes the average cost per unit C. C- 0.03x + 30x + 30,720

A: Given data :  The cost of production C depends on the number of units produced , x , according to…

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: Q-5)for the LPP below: Max Z = 2X1+X2 S TO :X1+X2 = 3 X2 = O The kind of solution is : * O…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Use Evolutionary Solver to solve this non-linear program. Max 3x2 + 0.4y3 - 1.424 s.t. 5 ≤x≤18 4…

A: answer is in next step

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: 1. Determine the optimum solution by applying simplex method and graphical method showing the…

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Q: Solve by using the simplex method: Maximize: Z = 8х + 3x2 + хз subject to: X1 + 6х2 + 8хз 0, x3 > 0…

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Q: Q1:- How do you determine if an LP problem has alternative optimal solutions.…

A: An LPP is said to have alternative optimal solution or multiple solution if the non-basic variable…

Q: Q4) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z310X1+25X2…

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Q: solve using simplex method minimize C =6x+16y subject to: x+y=400 x≤150 y≥200

A: Given,   Min C = 6x+16y        x+y=400        x≤150        y≥200        x, y≥0 The problem is…

Q: Find the number of units x that minimizes the average cost per unit C. C = 0.03x3 + 30x + 43,740

A: We have to find the number of units x that minimizes the average cost per unit C.…

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: Maximize f = 3x1 + 6x2+ 8T3 subject to 4x1 + 2x2 + 3r3 0, x2 2 0, r3 0 If no solutions exist enter…

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Q: Solve by the Big M – method: Maximize Ζ = x1 + 2x2 + 3x3 − x4 Subject to x1 + 2x2 + 3x3 = 15 2x1 +…

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Q: What is a general solution? A particular solution?

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Q: Consider the optimization problem min x1-4x2 +x3 x1+2x2 +2x3 =-2, x + x3+x}< 1. (P) s.t. (i) Given a…

A: Given optimization problem is  min x1-4x2+x3 Subject to  x1+2x2+2x3=-2x12+x22+x32≤1 The optimization…

Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2…

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

A: Solve maximum using Legranges multipliers method

Q: 2.1. Use the steepest-descent method to solve minimize f(x1, x2) = 4x + 2x + 4x1x2 – 3x1, %3D…

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

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Q: Approximate the solution of

A: Given,                 dydx=y(x+1)x3+x2-2x;     at x=2,      y(1.1)=0.5 and h=0.1.

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: Minimize f(x, y) = x² + }y² subject to yx? = 8. Specify both the optimal solution Question 8 and…

A: To find - Optimal solution and optimal value.

Q: Use the two-stage method to solve. Find x, 20 and x, 20 such that X1 + 2x2 s 22 X1 + 3x2 2 12 2x, +…

A: In Two Stage Method, the whole procedure of solving a linear programming problem (LPP) involving…

Q: Solve by HEURISTIC METHOD. Maximize Z MAXIMIZAR Z=X1+ 5X2 +7X3+ 3X4 Sa. 7X1 + 3X2 + 2X3 +4X4 <21 8X1…

A: We have linear programming problem with us. Maximize Z=X1+5X2+7X3+3X4subject to, 7X1+3X2+2X3+4X4≤21…

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: Find the number of units x that produces the minimum average cost per unit  C   in the given…

A: Minimize average cost

Q: Use Gauss Jorden method to solve and also verify the solution. 5x-2y+z=2 3x+2y+7z=3 x+y+3z=2

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Q: LP Model: Minimize z = 15x1 + 20x2 Subject to: x1+2x2210 2x1- 3x2 0 Find the optimal solution.

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Q: How many optimal basic feasible solutions does the following LP have? max z = 2x1 + 2x2 s.t. X1 + x2…

A: Draw the graph of the constraints

Q: 2. Design the optimal cylindrical container that is open at one end and has walls of negligible…

A: Consider the given diagram, The the area of the cylinder will be, A=πr2+2πrh The volume of the…

Q: Obtain the general solution by the parameter variation method ÿ = 2ÿ – ý + te-2t + 3

A: The solution is given as

Q: Minimize z = x, + 2x2 Subject to 2x, + 4x, s 160 X1 – Xz = 30 X12 10 X1, X2 2 0

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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: S'z xdx (1+x)*

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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: Maximize P = 5x + 3y subject to 4x + 2y ≤ 20 3x + 3y ≤ 21 x ≥ 0, y ≥ 0 PLEASE use the Simplex…

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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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Q: Use the Gauss-Seidel method to solve the following system until the percent relative error falls…

A: The gauss-Seidel method uses the iterations to solve the system of linear equations. The iteration…

Q: find: a. The optimal solution for PLE. b. Find the whole solution, rounded. c. How much profit could…

A: Given problem is: Maximize 6x1+2x2+x3 Subject to…

Q: 22. Solve the following problem for the optimal solution using simplex: minimize 20.x, + 10x2 +…

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