2. Find the dual of the LP problem given below Z max = 4x1 + 2x2 + 5x3 Constraints: X1+ x2 2 2 3x1 + x2 – x3 S 12 5x1+ 2x2 + 3x3 S 15

Q: Find the maximum value of Q(x) = -2x + 10x3+4x1x2 subject to the constraint x² + x3 = 1. answer…

A:

Q: You are given the ILP model below: Мaximize Z = -3x1 + 5x2, subject to 5x1 – 7x2 > 3 and X; < 3 X; 2…

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Q: Write the dual of the following LPP Minimise Z = 16x₁ + 9x₂ + 21x₃ Subject to the constraints: x₁…

A: Let us consider the primal problem: Min Z=cXAx≥bx≥0 Dual of primal problem is given by: Max…

Q: Q.2 Find the maximum value of z = 3x1 + 2x2 + 4x3 Objective function subject to the constraints 3x1…

A: Given -  Max z= 3x1+2x2+4x3+0s1+0s2+0s3-MA1 subject to the constraint          3x1+2x2+5x3+s1&lt;=18…

Q: . Find the maximum possible value of f = 20x + 30yand the values of x and y that give that value,…

A: Definition used -      Maximum possible value -       We will graph the given inequalities and…

Q: 5. Consider the following problem Maximize Z = 2x₁2x₂ + 3x3, subject to -x₁ + x₂ + x3 ≤ 4 2x₁ - x₂ +…

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Q: Consider the equation z = 32x0.°y04 where z, z, y represent the total production, labor input and…

A: Formula used: The equation to be solve by using Lagrange's multiplier method for solving constraint…

Q: Develop your own original LP problem with three constraints and two real variables.

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Q: Find the maximum value of z = 3x1 + 2x2 + 4x3 subject to the constraints 3x1 + 2x, + 5x3< 18 4x1 +…

A: Given,Max Z = 3 x1 + 2 x2 + 4 x3 subject to 3 x1 + 2 x2 + 5 x3 ≤ 18 4 x1 + 2 x2 + 3 x3 ≤ 16 2 x1 +…

Q: Consider the following problem; max f(x1 ,x2) = -xỉ – x3 subject to (x1 – 1)³ 2 x3 Check "constraint…

A: Given : f(x1,x2)= -x12-x22 We have to maximize this function We can write this…

Q: - Consider the problem Маximize z %3D х, + 5х, + Зx; subject to X1 + 2x2 + xz = 6 2x1 - x2 = 8 X1,…

A: In standard form a linear programming problem is a minimization problem involving only equalities.…

Q: Find the minimum value of w = 4x, + 2x, + x3 subject to the constraints 2x, + 3x, + 4x, 4 x1 + 4x,…

A: Change the constraint system:  -2x1-3x2-4x3≥-143x1+x2+5x3≥4x1+4x2+3x3≥6where x1, x2, x3≥0 The…

Q: Consider the following problem; max f (x1 , x2) = -xỉ - x3 subject to (X1 – 1)³ > x? a. Check…

A: Given- Consider the following problem:  max fx1, x2 = -x12 - x22subject tox1 - 13 ≥ x22 To find-…

Q: Calculate the maximum value of 10x + 5y subject to the constraints below: 2x + 2y  1 x > 0

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Q: A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit…

A: Given data: *The price function of x unit is p(x)=3600-2x. *The cost of producing x units is…

Q: 3. Find the dual of the LP problem given below. Z max = 4x, + 2x2 + 5x3 Constraints: X1 + x, 2 2 3x,…

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Q: Solve the following optimization problem using the simplex method: Maximum z = 10x, + 11x2 + 9x3…

A: The following steps are used to find the solution of the linear programming problem by simplex…

Q: Find the maximum of V = xyz subject to the constraint 6x+4y+3z-24=0

A:

Q: A company produces three types of solar panels, types A, B and C at a profit of €50 ,€90 and €150…

A:

Q: Find the maximum value of f(x1, x2, x3) = 6x₁ + 7x₂ + 2x3 subject to the following constraints. S x₁…

A: subjected to constrain

Q: *3-41. Consider the problem Маximize z %3D х, + 5х, + Зx; subject to X1 + 2x2 + x3 = 6 2x1 - x2 = 8…

A: Maximize z=x1+5x2+3x3 subject to  x1+2x2+x3=62x1-x2=8x1,x2,x3≥0

Q: Find the maximum of v = xyz subject to the constraint 6x+4y+3z-24=0.

A:

Q: Apply the procedure for tightening constraints to the following constraint for a pure BIP problem:…

A: To tighten the constraint in a pure Binary Integer Programming (BIP) problem, we aim to derive…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.