3 Find alternative optimal solutions to the following LP: max z = x₁ + x₂ s.t. X1 x₁ + x₂ + x3 ≤ 1 x2 X1 + 2x3 ≤ 1 All x; ≥ 0

Q: max   –x1 – 2x2 s.t.   x1 –  x2 ≤ 6        x1 + 2x2 ≥ 4        x1, x2 ≥ 0 For the LP problem…

A: The given LPP is as follows  max -x1-2x2 subject to  x1-x2≤6x1+2x2≥4x1,x2≥0 to solve the LPP using…

Q: Evaluate the expression a+b a+b when a=23a=23 and b=45b=45. Write in simplest form

A: # the expressions are printed twice , taking them once given a=23 and b=45 The value of a+b is as…

Q: 2 For the following LP, x2 and s, are basic variables in the optimal tableau. Use the formulas of…

A: The given LP is max z=-x1+x2  2x1+x2≤4x1+x2≤2x1, x2≥0 We have to find the optimal solution.

Q: Here is the optimal tableau for a standard Max problem. OHO O 21000 x1 xq x3 x4 81 83 54 &g rhs 0 5…

A: Part 2: ExplanationStep 1: Identify the dual solution (y)The dual solution \( y \) is derived from…

Q: 5.2-1. Consider the following problem. Maximize subject to x₂ + 2x₂ + 3x₂ + 3x₂ Z=8x₁ +4x₂+ 6 x3 +…

A: Adding slack variables x6,x7 and x8 in the first , second and third inequation respectively.Thus the…

Q: Write down (without solving) the dual LP problem. Minimize c =s+6t+u 9s -t+v23,000 u- v 21,000…

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Q: solve the differenctil equation by undtermeind coefficients y'' +2y = -18x2e2x   y(x) = ?

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

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Q: Solve the following problems by the Branch and Bound Method. max z = 8x₁ + 5x₂ I s.t. ₁+₂ ≤6 9x1 +…

A: The given linear programing problem is: Max z=8x1+5x2 Subject to: x1+x2≤69x1+5x2≤45x≥0 Where…

Q: maximise

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Q: Solve the following optimization problem using the Kuhn-Tucker conditions: min (x-2)² + 2(y-1)² x,y…

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Q: Here is the optimal tableau for a standard Max problem. The original rhs was Z 1 0 0 0 #2 5 .3 28 X3…

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Q: Here is the optimal tableau for a standard Max problem. Z X1 X2 X3 X4 81 82 83 1 0 5 3 0 6 5 0 1 .3…

A: Given:The optimal tableau for a standard max problem.To Find:The new value of in the updated…

Q: 2. f (x) = x² +1, g(x) = 4x+1. Find the solution set: A. f(x) = 0 B. f(x) > 0 C. f(x) = g(x) D. f(x)…

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Q: Çompute (f.g)(x) and (g.f)(x) for f(x) = 4x – 1, g(x) = v6 + 7x %3D %3D

A: Explanation of the answer is as follows

Q: 4. a. Find the maximum and minimum points for the following. 2 f(x) = 3x3 - 2x b. f(x) = (x² - 9) ³

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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: Itiple 1. Which of the following is the maximum value of the function f(x)=2 sin.xcos.x? a. 2 c. √3…

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Q: Find the critical numbers of g(x) (Exact answers only) x2 %3D

A: The given function is gx=lnxx2

Q: Use the graph of f(x)= = O y 8 8-40 O b) 4 -4 -8 -12 $ 8 a) x = 4, x = 0 O c) x= X= f(x)= no…

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