Solve the standard minimization problem using duality. (You may already have seen some of them in earlier sections, but now you will be solving thenm UsIng method.) Minimize c =s+t+usubject to 3s + 2t + u 2 36 25 +t + 3u 2 36 s+ 3t + 2u 2 36 s2 0, t 2 0, u20. C = (s, t, u) =

Q: Simplex Method

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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: Use the simplex method to maximize the following: Maximize f = 5x₁ + 4x2 + 8x3 subject to 2x1 + x₂ +…

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Q: max z = 3x₁ + Sx25x3 + 8x4 nx1 + x2 + x3 + 3x4 ≤ 7 -x₁- (s+n)x2 - X3 X4-2 X1, X2, X3, X4 20 -

A: (.) Given,           (.) standard form of maximization problem is,        then dual problem is given…

Q: Minimize bject to =₁+4x₂+2x328 ₁ + 2x₂ 26 Z=2x₁ + 3x2 + x3, nd 20, x₂20, x₂ 20. introduce artificial…

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Q: Use the simplex method to solve the problem. P= 2x, - 5x2 X1 + X2 54 5x, +3x2 2 15 Minimize subject…

A: Given function to optimize  Minimize  P=2x1-5x2 Subject to  x1+x2≤45x1+3x2≥15x1,x2≥0 To solve this…

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: Write the dual maximization problem, and then solve both the primal and dual problems with the…

A: Primal is   MIN gy =   4 y1 + 20 y2 subject to   2 y1 +   y2 ≥ 13     y1 + 3 y2…

Q: Use the simplex method to solve. Maximize z = 8x₁ + 4x2, subject to X₁ + X₂ ≤ 240 4x1 + 3x₂ ≤ 720 X1…

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Q: 6. Solve the problem below using the simplex method. Minimize C = 9x1+ 2x2 subject to 4.x1 + x2 > 13…

A: Since, constraints have greater than equal to sign, so, adding -ive slack variables s1 and s2 in…

Q: X1, X2 2 0 12. Minimise Z = 60x1 + 80x2 bo Subject to 20x +30x2 2 900 40x1 +30x2 2 1,200 X1, X220 LO…

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Q: Use the simplex method to find x, 20 and x, 2 0 such that X1 + 5x2 2 25 X1 + X2 547 and such that z…

A: Given LPP is Max Z=12x1+10x2 Subject to, x1+5x2≥25 x1+x2≤47 x1, x2≥0

Q: Determine whether x = (0 3 0 9 2) is a solution

A: Given that max   2x2+2x5s.tx1+x2-x5=1x2+x3+x5=5-2x2+x4+x5=5x1,x2, x3,x4, x5≥0 To determine…

Q: Use the simplex method to maximize subject to P = P=3x₁ + 6x₂ + 4x3 -₁ + -21 + I1 + *₁ ≥ 0 2 + 73 <…

A: Maximize Subject toUsing simplex method we have to find the value of .

Q: 3. Use Dual Simplex method to solve the following LPP. Maximise subject to Z=3x+2x2 +13 3x1 + x2 +…

A: Maximize Z=3x1+2x2+x3 Subject to: 3x1+x2+x3≥3(Constraint 1)−3x1+3x2+x3≥6(Constraint…

Q: Use the simplex method to maximize the following: Maximize f 3x1 + 9x2 subject to 4x1 + x₂ < 5 2x1 +…

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Q: Minimize g - 20x + 30y +36z subject to: x+2y +3z  ≥ 48 2x + 2y +3z  ≥ 70 2x +3y +4z  ≥ 96

A: The given problem is: Minimize g - 20x + 30y +36z subject to: x+2y +3z  ≥ 48 2x + 2y +3z  ≥ 70 2x…

Q: Use the Lagrange multiplier method to optimize the objective function 3x? + y? – 2xy subject to the…

A: Given f(x) = 3x2 + y2 - 2xy Constraint: x + y = 6

Q: Solve the following problem by using M-Technique Method. Maximize:- z= x₁ + 2x₂ + x₃ s.t x₁ + x₂ +…

A: Given,Max Z = x1 + 2x2 + x3subject tox1 + x2 + x3 = 72 x1 - 5 x2 + x3 ≥ 10and x1 ,x2 ,x3≥0

Q: Use the simplex method to solve the following LP model Minimize Z = 8X₁ + 6X2 Subject to: 2X₁ + 4X2…

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Q: max s. t. 6x₁ +8x2 + 5x3 + 9x4 2x1 + x₂ + x3 + 3x4 ≤ 5 x₁ + 3x₂ + x3 + 2x4 ≤ 3 1, 2, 3, 4 ≥0 Solve…

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Q: Minimize c = 2000r + 3000s 2r + 20 Subject To: 2s > 20 3r + 4s 2 50 And Where: {r > 0, s > 0} S = C…

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