Solve this problem by the Big M and also solve by the two phase method Minimize X +2 x - ן2x Subject to X1 +2 x2 +3 x3< 5 X1 + x2+ X32 3 X1 -X2 = -4 X1 , X2, X320

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: Find the Max and Mini values of the objective function Z=3x+4y on the region bounded by  2x+y&gt;5…

A: First find the minimum value: so, the problem is, Min Z = 3 x1 + 4 x2 Subject to 2x1 + x2 &gt; 5x1 +…

Q: Solve the given LP problem. If no optimal solution exists, indicate whether the feasible region is…

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Q: Use two-phase simplex Method to solve the following LP Minimize            z= 6 x1 + 3 x2 Subject…

A: We need to solve the following LP problem using two phase simplex method. MIN Z = 6x1 + 3x2subject…

Q: Consider the following problem: Maximize Z= 2x1 - x2 + X3, subject to x2+ 3x3 0, X3 2 0. Work…

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Q: 3. Solve the following LP with simplex method: Minimize z = 3x1 + 2x2 + 3x3 x1 + 4x2 + x3 2 14 2x1 +…

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Q: Given the LP Model Minimize: z = x - y subject to: 4x — Зу 20 Зх — 4у < 0 х, у 2 0

A: OPTIMAL VALUE:-   An optimal solution to a linear program is the solution which satisfies all…

Q: Use the algebraic method to solve the following optimisation problem. Maximise f(x1, x2) = 3x1+ 2x2…

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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: Solve the LP problem. If no optimal sc Maximize and minimize p = 2x-y su x+y24

A: In the given question, the concept of Linear Programming is applied. Linear Programming An approach…

Q: 10) Solve this linear problem using the Big M method. Min z = x1 - 2x2 + x3 Subject to: xl + x2 -x3…

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Q: Consider the following LP problem: minimize z = -X₁ + X₂-2x3, subject to X₁ + X₂ + X3 ≤6, -X₁ + 2x₂…

A: given LP problem  minimize z=-x1+x2-2x3 subject to x1+x2+x3≤6-x1+2x2+3x3≤9x1,x2,x3≥0 (a) solve the…

Q: SOLVE THE FOLLOWING LP PROBLEM USING BIG M - METHOD MINIMIZE Z = 600 x1 + 500x2 subject to: 2x1 + x2…

A: Given:       MINIMIZE  z=600x1+500x2      Subject to:              2x1+x2≥80               x1+2x2≥60…

Q: 2.5OLVE BY GAUSS ELIMINATION METHOD 2x - Y+ 32 =-3 3X +3Y - Z= 10 X- Y + Z = 4

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Q: Q1\\ Use the dual Simplex to solve the following LPP Minimize z = 2x1 + 3x2 + 4x3 + 5x4 subject to…

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Q: Use the Simplex Method to solve for X1 and X2: Objective function: Maximize z = 4x₁ + 3x₂ Subject…

A: We have to solve for x1 and x2 using the simplex method.

Q: Find the optimal value of the objective function for the LP problem (without using simplex method to…

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Q: 2) Maximize z = 7x1 + 2x2 + x3 subject to: x1 + 5x2 + 7x3 <8 X1 + 4x2 + 11x3 s 9 x1 20, x2 20, x3 20…

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Q: Minimize Z = 5x1 + 7x2, subject to 2x1 + 3x2 > 147 3x1 + 4x2 > 210 X1 + x2 > 63 and

A: Min Z =   5 x1 + 7 x2 subject to   2 x1 + 3 x2 ≥ 147   3 x1 + 4 x2 ≥ 210     x1 +…

Q: Here is a dictionary of an LP: X4 4 +3x3 -2x5 3 +x3 -x5 X2 4 +2x3 -x5 13 +5x3 -4x5 || (a) What is…

A: We are given the following dictionary of an LP.         x4=4+3x3-2x5x1=3+x3-x5x2=4+2x3-x5…

Q: Minimize z = 22x1 + 44x2 + 33x3 subject to x1 + 2x2 + x3 > 3, x1 + x3 3, 3x1 + 2x2 + 2x3 8 using two…

A: Given LPP is  Minimize z=22x1+44x2+33x3Subject tox1+2x2+x3≥3x1+x3≥33x1+2x2+2x3≥8x1,x2,x3≥0 In order…

Q: maximize z=8.50x1+12.10x2 subject to 2x1+3x2 <  24,000 x1 < 6,600 x2 < 5,500 x1+x2 < 10,000

A: topic- linear programming

Q: Use Dual Simplex Method to solve the following optimization problem: Minimize: z = 6x, +3x2 +4x3…

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Q: LPP by the graphical method. minimize 20x1+10x2 subject to x1 + 2x2 ≤40, 3x1 + x2 ≥30, 4x1 + 3x2…

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Q: Suppose we have a primitive LP software that solves only maximization problems with only nonnegative…

A: We are given that we have a primitive LP software that solves only maximization problems with only…

Q: 22x1 + 44x2 + 33x3 subject to x1 + 2x2 + x3 > 3, x1 + x3 > 3, 3x1 + 2x2 + 2x3 > 8 using two…

A: i) Dual problem: Primal is  MIN Zx =   22 x1 + 44 x2 + 33 x3 subject to     x1 +…

Q: Solve the LPP by using Big M method Maximize z = x1 + 5x2 subject to 3x1 + 4x2 s6 x1 + 3x2 2 2 x1,…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: Use the Simplex Method to solve for X1 and X2: Objective function: Maximize z = 4x₁ + 3x₂ Subject…

A: Please see the attachment

Q: order to ensure optimal health (and thus accurate test results), a lab technician needs to feed the…

A: Here we have to minimize the cost     Part (a):   Let x and y are the number of ounces of food X…

Q: In order to ensure optimal health (and thus accurate test results), a lab technician needs to feed…

A: Step:-1 Let x1, x2 be the amount of food X and food Y respectively to blend. Now, given that    X…

Q: Solve the following LP problem. Use the M-method to handle artificial variables. Minimize 4x1 + x2…

A: Given that Minimize 4x1+x2 Subject to  3x1+x2=34x1+3x2≥6  x1+2x2≤4        x1,x2≥0

Q: _2. Solve the problem minimize f(x) = -xỉ +x3 – x,x2 subject to 2x1 – x2 > 2 X1 + x2 0. |

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Q: Solve the following LPP using Big M Method Problem -1 Minimize Z = 7x1 + 15x2 + 20x3 Subject to…

A: The big m method is a modified version of the simplex method in linear programming (LP) in which we…

Q: Solve the following LPP using Big M Method Minimize Z = 600x1 + 500 x2 Subject to 2x1 + x2 >= 80 x1…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Find the optimal Solution of following transportation system formulated below by 1. Simplex method…

A: Let's solve by using simplex method.

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: 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: P problem using Big M method Minimize Z =10X1 + 15X2 +20X3

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: Solve the linear programming problem. Minimize z = 10x, + 16x, + 20x, subject to Зx, + х, + 6х, 29 X…

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

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Q: Solve the following two non-linear optimization problems: Maximize f(x) = 4x1+6x2-2x12-2x1x2-2x22…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

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: If the optimality has been arrived but the artificial variable is still in the basis then the LP…

A: Given: The objective is to choose the correct option from the given choices, It is given that, If…

Q: 1. Solve the following LPP using Big M Method Minimize Z = 600x1 + 500 x2 Subject to 2x1 + x2 >= 80…

A: As per Guidelines only first question is solved. For other question please resubmit the question.

Q: Use the simplex method to find the optimal solution. Assume all variables are nonnegative.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 1. Minimize z = 3x1 + 4x2 subject to x; + 4x2 > 8 2x1 + 3x2 2 12 2x, + x2 2 6 х, 2 0, х, 2 0. 2.…

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Q: Find the optimal solution for (L.P) model using Simplex Method' Max. Z = 2xl- x2 +2x3 Subject to:…

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Q: Prove that among all rectangles of a fixed area, the square has the least perimeter. Determining…

A: Prove that among all rectangles of a fixed area, the square has the least perimeter.…

Q: Solve the given LP problem using the Simplex Method Minimize: Z = 25x1 + 35x2 Subject to: 3x1 + 4x2…

A: The given problem is to solve the given linear programming problem using the simplex method with…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.