1. a. Show that this model has an unbounded solution by Big M Method. b. What can be changed to have a bounded solution for this model? Explain by solving it. Max Z= 3x1 + 6x2 s.to 3x1 + 4x2 2 12 -2x1+ x2 s 4 x1, x2 2 0

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: Consider the following linear program:            Max Z = -4x1 + 2x2 Subject To: -2x1 + 2x2 ≤ 7…

A: We have: Max Z=-4x1+2x2Subject to-2x1+2x2≤7x1≥2x1-4x2≤02x1+2x2≥10x1, x2≥0 Part(a) If the constraint…

Q: 4. Solve the following model graphically Lexicographically minimize a = {(p1 + p2), (n3). (p4), (n1…

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Q: Consider the following constrained maximization problem: maximize y = x1 + 5 ln x2 subject to k - x1…

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Q: 2. Solve the following LP: Maximize z = 2x1 – x2 + 3x3 subject to X1 – X2 + 5x3< 10 2x1 - X2 + 3x3 <…

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Q: Solve the following L... problem quaphically. IN CUI CIRCHEN maximize z = 4x₁ +5x₂ 4x₁ +5X₂es…

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Q: 4. Find the global minimizer of minimize a+a subject to a1 – 10 0 10 X1-10=0 f-64 f=16 f-1 12…

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Q: Consider the following all-integer linear program: Max 5x1 + 8x2 s.t. 5x1 + 5x2 < 32 9x1 + 3x2 < 38…

A: We are given an integer programming problem. Max 5x1 + 8x2s.t.5x1 + 5x2 ≤ 329x1 + 3x2 ≤ 38x1 + 2x2 ≤…

Q: 2) Find all the critical points of each of the following systems: c) x' = xy – x² У' 3 х? — 2ху — у?

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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: Given the LP Model Minimize: z x-y subject to: 4x -3y <0 x +y < 10 х, у 2 0 The LP problem has an…

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Q: Solve the following LP: Minimize C= 2x+5y Subject to: x+2y 2 4 3x+2y2 6 x20, y 2 0

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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: Q#3: (i) Solve problem by first finding the dual and then using the simplex algorithm. Minimize (6)…

A: Since, only one(first) of the multiple question is supposed to be done, hence one one question will…

Q: 1. a. Show that this model has an unbounded solution by Big M Method.     b. What can be changed to…

A: 1. (a) Given,               Max Z=3x1+6x2subject to       3x1+4x2≥12    -2x1+x2≤4and      x1, x2≥0

Q: Maximize z = x1+ r2 subject to ri + 2x2 0

A:

Q: Q#3: (i) Solve problem by first finding the dual and then using the simplex algorithm. Minimize (6)…

A: The given problem is. Min c=225y1+180y2s.t.      8y1+y2≥32           7y1+4y2≥112…

Q: Find all the basic solutions of the following LP problem Maximize Z = 2x₁ − 4x2 + 5x3 − 6x4 Such…

A: There are 4 variables and 3 constraints. So, we obtain the basic solution by putting 4-2=2 variable…

Q: 1. Solve each of the following LP with simplex and diagram method: Maximize z = 2x1 + 4x2 Min z =…

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Q: min z= 4x1 + x2 3x1 + x2 = 3 4x1 + 3x2 > 6 xi + 2x2 0 s.t. X1,

A: Objective Function: Minimize: Z = 4X1 + 1X2 Subject to: 3X1 + 1X2 = 3 4X1 + 3X2 ≥ 6 1X1 + 2X2 ≤ 4…

Q: Solve the following LPP graphically using ISO- profit method. maximize Z =100 + 100y Subject to the…

A: to solve the LPP first plot the inequalities on the graph and mark the feasible region. The first…

Q: Use the Big-M method to find an initial basic feasible solution for the following LP: max z = 3x +…

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Q: 2 Find the optimal solution to the following madhah problem max z Ax +B x2 A=6 s.t. 2x, + 4x2 s 12,…

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Q: Solve the following LP in three different ways (use TORA for convenience). Which method appears to…

A: Given: Minimize    z=6x1+7x2+3x3+5x4 subject to    5x1+6x2-3x3+4x4≥12…

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Q: ▪ Solve the following SLEs in a clean sheet of paper (preferably bond paper). ▪ Show a complete,…

A: Solution

Q: 13. Consider the following linear program: Маx 1A + 2B s.t. 1A <5 IB <4 2A + 2B = 12 А, В 2 0 a.…

A: Given that  Max 1A+2B s.t. 1A        ≤51B≤42A+2B=12A,B≥0 a) Show the feasible region. b) extreme…

Q: 1. a. Show that this model has an unbounded solution by Big M Method.

A: Given LPP is max z=3x1+6x2s. to.3x1+4x2≥12-2x1+x2≤4x1, x2≥0 Adding slack, surplus and artificial…

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Q: Consider the following LP: Minimize z = 4x, + x2 subject to 3x, + x = 30 4x, + 3x, 2 60 X + 2x2 s 40…

A: Introduce slack, surplus, artificial variables: Min z=4x1+x2+0S1+0S2+MA1+MA2 subject to…

Q: 4. As an engineer and a scientist, a research has been conducted and the problem has been modeled…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

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: #3: Find the maximum of the following function: h(x, y) = In(x40 y8) given the constraints: 5x² + y²…

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Q: Suppose that the solution to a system of equations computed using Gaussian Elimination with Partial…

A: The error in L3 -norm is given by      {(0.9408 - 0.9408405)3 + (1.2692 - 1.2691622)3 + (0.9139 -…

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Q: Consider the following LPproblem 2x1+3r2 marimize z = %3D 3x2 0 (non negativity const a. The…

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Q: 4- Write just the first table of Big-M method for the following problem Max Z= 2X₁ + X2 s.t. -3X1 +…

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Q: • Consider the following LP: maximize 2x1+ 5x2 s.t. -x1 + 2x2 < 5 2x1 + 3x2 < 12 X1 + x2 2 -1 X1, X2…

A: We are given the following LPP problem : maximize 2x1 + 5x2 s.t. -x1 + 2x2 ≤ 5 2x1 + 3x2 ≤ 12 x1 +…

Q: Consider the following optimization problem: max       x1 + 2x2              -x1 + x2 >= -4…

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Q: a) Consider the following LP problem. Maximize z = 2x, +x2 subject to 4x, + 3x2 S 12 4x, + x2 5 8…

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Q: Consider the following LPP: Min Z 3 3X, + Х+ Xз Such that: X — 2X + Xз <11, -4X; + X, + 2X3 2 3…

A: Optimal primal table is given in the problem We know that optimal solution of both the primal and…