Q2. By using simplex method, maximise f = 2x, +3x, subjected to: 5x, +3x, <105 3x, +6x, <126

Q: Use the simplex method to solve the following. Maximize z= 3x, + 3xy = 6x3 subject to 5x, + 5x2 -…

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Q: Use Lagrange Multipliers to find extreme values of the function f(x, y) 2xy subject to the…

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Q: Solve the following LP using the simplex method. Maximize z = 4x1+3x2+6x3 subject to 3x1+x2+3x3 0

A: Given that Maximize z=4x1+3x2+6x3 subject to 3x1+x2+3x3≤302x1+2x2+3x3≤40             x1,x2,x3≥0

Q: Find the maximum value of r + y subject to the constraint a2 + y? = 18.

A: The function is given by fx, y = x+y                                          ..........1 The…

Q: Solve by using the simplex method. Maximize Z = 5x1 +9x2+7r3 subject to Iị + 3r2 + 2rs < 10 3r1 +…

A: we have given the the problem  max Z = 5x1+9x2+7x3subjected to:        x1+3x2+2x3 ≤ 10…

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: Find the minimum value of f(x,y)=66x2+9y2 subject to the constraint x2+y2-784

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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: Find the optimum values of X1, X2 and X3 that maximize the values of Z using simplex method?…

A: Add slack variable for the simplex method  Maximize Z=2x1+4x2+x3+0S1+0S2+0S3 Subject to…

Q: Q3) Use Simplex Method to Solve the following LP: Maximize_ p = 5x − 4y +3z x +z ≤20 y-z ≤10 subject…

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

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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: Use the simplex method to solve the following problem. Also verify your answen 1. using the dual of…

A: We have to use the simplex method to solve the primal problem Maximize Z=40x1+50x2 subject to…

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: Find the minimum value of f(x,y)=61x²+6y² subject to the constraint x2+y²=4

A: Minimum value of function is the point on function curve which is lowest on entire curve. Point at…

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

A: Consider the given problem.

Q: MAX Z = 9X, +7 X2 UB TO: 2 X1 + 4X2 <40 X1 +3X2 <30 X1 , X220

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Q: Q5:- Find the maximum value of the function f (x, y) = xy, subject to the constraint x + y = 16.…

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Q: Q4 /Find the optimal solution of (LP) by using graphical method Max. Z= 4X1+3X2 Subject to: 3X1+2X2…

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Q: Minimize and maximize P= 2x, - 9x2 subject to Xq + X2 s20 5x, + 3x2 2 75 X1,X2 20

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Q: Maximize x2y subject to the constraint that 1 > x+y.

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Q: a) Solve the following LP using Simplex Method. Max z = 1500x₁ + 2000x₂ + 2400x3 Subject to 3x₁ + 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 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 value of the function z=5x+3y subject to the following constraints. x22 y22…

A: Z=5x+3y

Q: Use the method of Langrange Multipliers to find the maximum value of f(x, y) = 4xy subject to 2x − y…

A: Explanation of the answer is as follows

Q: Solve by Simplex method the following L. P. P. : Maximize : z = 7x + 5x2 Subject to : -X1 - 2x, 2-6…

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Q: Q6. Solve the following problem using the simplex method: Maximize z =2x+y Subject to x+y<6 x+2y<8…

A: Given. Z = 2x + Y Constraints are  X + Y&lt;=6 X +2Y &lt;=8 Mathod is simplex mathod

Q: Find the maximum value of P(x,y) = 12x + 15y subject to the constraints: x>0 y 0 4x + 3y 12

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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 problem. Maximize Q = x²y, where x and y are positive numbers, such that x + y = 540

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Q: Use Lagrange multipliers to find the extreme values of f(x, y) = x² – y² subject to the constraint…

A: Given the function fx,y=x2-y2 and x2+y2=1. Let gx,y=x2+y2-1. Find the extreme values of f subsject…

Q: Solve the following LP with simplex method: Maximize z = 2x1 + x2 X1 - x2s 10 2x1 S 40 X1, X2 2 0

A: For the given LP, Maximize z=2x1+x2, Subject to x1-x2≤10, 2x1≤40, x1, x2≥0, We will use graphical…

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

A: We have,

Q: se Lagrange multipliers to find the point on the line Y2x+3hat is dosest to the point (4. 2

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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: Use the simplex method to solve the following problem. Also verify your an using the dual of the…

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

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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 problem using Simplex Method. Minimize the function f = 2x, - 4x, – 3x; subject…

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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: 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: Solve for the optimal solution using the Simplex methodology: max z = 5x, +4x, subject to бх, + 4х,…

A: After introducing the slack variables, the LPP becomes Max z=5x1+4x2+0·s1+0·s2+0·s3+0·s4 subject to…

Q: Use lagrange multipliers to find the max and min values of f(x,y) = 5x-4y subject to the constraint…

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Q: Q1/Use simplex method to maximize the function max R=7x+ 4y Subjected to 2x+ y =20 X+Y< 18

A: To maximize R=7x+4y S.T.C. 2x+y=20x+y≤18x≤8 Introduce the slack and artificial variables: Max…

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: Find the absolute maximum and minimum values of f(x, y) = 2x2 + 3y2- 4x +5 subject to the constraint…

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Q: Find the maxima and/or minima of f (x, y,z) = 2x2 + y2 + 3z2 subject to the constraint 2x - 3y - 4z…

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