Use the larange multiplier method to optimize following function z = 4x2-3x+5xy-8y+ 2y2 subject to x...

Use the larange multiplier method to optimize following function
z = 4x2-3x+5xy-8y+ 2y2 subject to x = 2y

Expert Solution

Rahul Sunny answered 2 years ago

z=26x-3x^2+5xy-6y^2+12y subject to 3x+y=170 a- Find the critical values at which the following function will be...

z=26x-3x^2+5xy-6y^2+12y subject to 3x+y=170 a- Find the critical values at which the following function will be optimized subject to the given constraints. b- estimate the effect on the value of the objective function from a one unit change in the constant of the constraint.

Consider the following functions. g(x) =x3 − 10x h(x)=4x2 + 3x f(x)=(x3 − 10x)(4x2 + 3x)...

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Solve the following linear programming model graphically: Max Z= 3x1 +4x2 Subject to: 2x1 + 4x2...

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Given the following primal problem: maximize z = 2x1 + 4x2 + 3x3 subject to x1...

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Find the maximum and minimum values of the function f(x,y,z)=3x−y−3z subject to the constraints x^2+2z^2=49 and...

Find the maximum and minimum values of the function f(x,y,z)=3x−y−3z subject to the constraints x^2+2z^2=49 and x+y−z=9. Maximum value is Maximum value is , occuring at ( , , ). Minimum value is , occuring at ( , , ).

Consider the following Integer Linear Programming (ILP) model Maximize Z = X1 + 4X2 Subject to...

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Maximize objective function P=3x+4y subject to: x + y ≤ 7 x ≥ 0 x+4y ≤...

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Use the Lagrange multiplier method to identify the stationary point(s) of the function ?(?, ?, ?)=10?...

Use the Lagrange multiplier method to identify the stationary point(s) of the function ?(?, ?, ?)=10? + 5? + ? + 2?^2 + 4?? + ?^2 + 2?? - ?^2 - ??, subject to the constraint 5? + 3? + ? = 27. Subsequently determine the nature of the stationary point(s) using the bordered Hessian matrix.

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