Transportation Model (Optimal Feasible Solution) Minimize: C = 15x₁a + 24xıb + 12xic + 19x1D + 10x2A + 11x2B + 13x²c + 13x2D + 16X3A +21X3B + 11x3c +26x3D Subject to: X1A + X1B + x1c + x1D = 140 X2A + X2B + x2c + x2D = 160 X3A+X3B + Xx3C + x3D = 50 X1A + X2A + X3A = 100 X1B + X2B + X3B = 100 x1c + x2c + x3 = 50 X1D + X2D + X3D = 100 Xiiii 20 Using the initial feasible solutions of Northwest Corner Rule, establish the optimal feasible solutions of the LP problem using: 1. Stepping Stone Method (SSM) 2. Modified Distribution Method (MODI) Follow the step-by-step approach showing your solution.

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

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Q: Maximize subject to: Z = $140×₁ + $150x₂ 8x1 + 2x₂ 40 9x2 + 3x₂ ≤ 120 X1, X₂ ≥0

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Q: Solve each linear programming problem by sketching the region, labeling the vertices, and show which…

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Q: Solve the minimization model below using revised simplex: min 4x₁ + 2x₂ + 3x3 st 2x₁ + 3x2 + 4x3 > 9…

A: Revised simplex method: The revised simplex method is technically equivalent to the traditional…

Q: Simplex Method Maximize: P- 3x + 4y subject to: x+y≤4 2x + y ≤ 5 x 20, y 20 1. Find the values of…

A: We have to use the simplex method to find the optimal solution of the given linear programming…

Q: Q3/ Use the graphical method to solve the following LP problem. Minimize Z=-x, + 2x₂ subject to 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: Invesheat the stability of the following Consder quadrahclya pan ov 5ystem X²₁ = -X₂ ( x ²²-1) 2 X ₂…

A: Given Data: Consider the quadratic lyapanov system,X1=-x2.x12-1X2.=-x1+x21-x12

Q: Min z=-2x1+x2-x3 Subject to constraint 3x1+x2+x3=0  Solve this by simplex method

A: We have to solve the given LPP using simplex method.

Q: maximize 2=`-2x; t Xq -4x3+3x4 Subject to 2xi+2x2t bx2+ 4x4 58 2メ」- 2×3+2x4 2-2 4x,+2x2 s4 2 x1+…

A: We solve this using simplex method of lpp

Q: +2x5 +3x6 %3D +2x2 +2x3 -5x5 -3x6 -5 %3D -x4 +2x2 -6x5 -5x6 +t +u +s I| || ||

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Q: minimize Z = 8x +212 subject to 2r, - 6x, s 12 5x, + 4x2 40 X1 + 2r, 12 X2 S 6 X1, X2 20

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Q: Given a rate of 175 pesos per hour, how many hours should you work to earn 35,962.50 pesos

A: If ∆x is the amount earned in time ∆t, then the equation for the rate of the amount earned per unit…

Q: Consider the optimization problem minimize c₁x₁ + c₂|x2|++ Cn|xn| subject to Ax = b. We can convert…

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Q: Maximize P = x1 + 2x2 + x3, Subject to: 3x1 + x2 + x3 <4 x1 + x2 + 2x3 < 4 æ1, X2, x3 and give the…

A: It is given that, Max P=x1+2x2+x3 Subject to the constraints, 3x1+x2+x3≤4x1+x2+2x3≤4and x1,x2,x3≥0…

Q: Q1/ solve the following by using graphical method: Maximize Z=12x+16y, Subject to: 10x+20y < 120,…

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Q: Maximize subject to the constraints 13x1 x1 P = 10x₁ + 11x₂ + x3 x2 + 10x2 x1 ≥ 0 + 15x3 ≤ 70 7x3 44…

A: Maximize subjected to the constrain

Q: Suppose the feasible region has four corners at these points (0,0), (8,0), (0,12), and (4,8).  If…

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Q: Find the least-squares solution z" of the system -2 2 E- TN 2.

A: Given system is 2-2-2234x→=18-143 Let A=2-2-2234, b=18-143 So our system will be Ax→=b

Q: Maximize f(x₁, x₂) = x₁ + x2 use of simplex method and it subject to: X₁ + 2x₂ ≤ 10 2x₁ + x₂ ≤ 10 x₂…

A: We have given LPP problem, max fx1, x2 = x1+x2x1+2x2≤102x1+x2≤10x2 ≤ 4x1, x2 ≥ 0 We need to use…

Q: Solve using the simplex algorithm.

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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: 3) problem ín standard form. Do not solve the LP problem. Convert the following LP problem into a…

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Q: = 4x1 + 5x2 %3D Xị + 3x2 < 12 + 2x2 < 12

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Q: Minimize the objective function 40x₁ + 10x2 +70x3 subject to the constraints: 4x₁ + 2x3 ≥ 2 2x₁ + x₂…

A: Solution:Problem is Min Z =   40 x1 + 10 x2 + 70 x3 subject to   4 x1       + 2…

Q: F(t) = at ² + b ² + c + X (2,7) (-1,9) f(3) = 2 +0+40 2 823)=9 f(-1) = -5 f(2)=4 a(2)² + b (2) + <=…

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Q: Q4. Simplify the following expression: 3-5 x 39 Click on image to enlarge if needed 12 81 243 324

A: To evaluate :- 3-5 * 39

Q: Please do using Crammer's rule 3x 3 Linear system 2z +y-2z -1 3z- 3y-z 5 z- 2y +3z 6 5.

A: We will use Cramer's rule to solve the system as shown below

Q: Minimize: C = 2x1 + x2 Subject to the constraints: 5x1 + x₂ ≥ 9 2x12x2 > 10 x1 ≥ 0 x2 > 0

A: Minimize subjected to the constrain

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: Solve

A: Let X1= number of units of product AX2= number of units of product BAnd the objective function is…

Q: (11) x₁2x2 - 2x3 + x4 = 1 2x1 - x2 + 2x3 + 3x4 = −2 -x₁ - 5x2 + 7x3 - 2x4 = 3 3x14x2+3x3+4x4 = −4

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Minimize Z=-x₂ + 2x₂ subject to the constraints and (1-x₂ + 3x₂ ≤9 x.x₂ 20. (11) x₂ + x₂ ≤ 6. (11)…

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Q: e 60x1 + 70x2 Subject to: 2x1 + x2

A: Given,   Maximize           60x1+70x2Subject to coinstraint:            2x1+x2≤300…

Q: Q2/ by using inversion method to solve the system 8x1-4x2+3x3=0 X₁+5X2-X3=-5 -2x₁+6x2+x3=-4

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Q: 3. Use the functions defined in this notebook (switch_rows, scale_row, and add_row to find the…

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Q: 3. Use the Simplex method to find the optimal solution to the problem below. Advertising: A…

A: Let, x1 be the number of ads in daytime x2 be the number of ads in primetime x3 be the number of ads…

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…