c) (i) Use x. and x.as the initial basic variables and apply simplex method to solve: Maximize: z = 6x. + 8x: + x+ 2x. subject to: 2x. +x: +x = 20 X+ 3x +X.= 24

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

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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: Use Simplex method to solve the following system : Maximize P - 0.5x + 3y + Z Subject to X + y+ Z <…

A: To solve  Max P=-0.5x+3y+zSubject to,x+y+z&lt;402x+y-z&lt;10-y&lt;10 Using simplex method.

Q: Find the maximum values of f(x,y) = 81x² + y² subject to the constraint 4x? +y² = 1 (Use the…

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Q: C = 6x, + 15x2 + 6x3 Solve the linear programming problem to the right by applying the simplex…

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Q: Solve the following problem by using the Simplex approach: Maximize Z = 4X1…

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

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Q: (b) The revenue R(x, y) that Scoot Airline collects from selling its normal seats and premium seats…

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Q: Find the minimum value of f(x,Y)=34x2+25y2 subject to the constraint x2+y2=196 %3D

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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: Use the Simplex method to maximize the freton z= 3x+ 212 Subject to the Constraints +22 6, 2x,+28…

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Q: Find maximum and minumum values of f(x, y, 2) = 7x – 14y + 35z subject to the constraint z? + y² +…

A: Use Lagrange multipliers and find maximum, minimum value.

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

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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: HW 4: Use the simplex method to solve the following problem and verify the solution by the graphical…

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Q: Use simplex method to solve the following system Махітizе Р — 0.5х + Зу + Z Subject to x +y + z < 40…

A: I am substituting  x=x1 , y=x2 and z=x3 and then solving the problem.

Q: Find the maximum and minimum values of x2 + y2 subject to the constraint x2 - 2x + y2 - 4y = 0.

A: Given

Q: Form the initial tableau, and identify the pivot element. Maximize g = 18x + 53y %3D subject to x-3y…

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Q: Solve using Lagrange Multipliers, final answers should have 4 decimal places. A. Find the maximum…

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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: Consider the equation z = 32x0.°y04 where z, z, y represent the total production, labor input and…

A: Formula used: The equation to be solve by using Lagrange's multiplier method for solving constraint…

Q: In p(x,y) = 3ry – x* – y°, x is the average daylight and y is the average daily rainfall. %3D Solve…

A: To find the points that maximize the the productivity of the function px, y=3xy-x3-y3

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

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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: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The trick ski…

A: according to the question

Q: Graph the feasible reglon. -x + y s 0 X S 5 y 2 -6

A: given -x+y≤0                x≤5                y≥-6      we have to graph the feasible region and…

Q: (Maximize): Z = x1 + 2 x2 + 2x3 Subject to: X1+X2 2 50 2x1 +x2 + X3 s 70 X2 + 3x3 2 40 X1, X2, X3 2…

A: It is given that

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 x(y- z)p+ y(z – x)q – z(x – y) =0 by method of multipliers.

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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 of f(x, y) = xy subject to the constraint 4x + y = 72

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Q: Q3 Solve the following linear programing problem by using the Simplex method: T = 4x + 3y x + y < 5…

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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 Any method to solve the given system: x" + y' – x+ y = -1 Q.5 x'+ y'-x =t?

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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: Given that f(x, y) = 8x-2x² - y² +8y with the constraint g(x,y): 2x+y=5. Determine the optimum value…

A: Solution is given below:

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: 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: A company manufactures two types of athletic shoes, jogging shoes and cross trainers. The total…

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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: Point A// For the following LP model, determine the optimal solution using the .simplex method Max…

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Q: Q10. Using Crammer's rule method to solve the following linear system x+y+z=3 2x + 3y + 7z = 0

A: The given system of equation is as follows x+y+z=32x+3y+7z=0x+3y-2z=17 Find Determinant D as follows…

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 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: 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: Find the minimum value of f(x,y)=48x2+30y2 subject to the constraint x2+y23D361

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A firm producing two goods “X" and "Y" has the profit function Z= 640X – 20X? + 40XY - 40Y² + 320Y –…

A: We will find out the required value.

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.