## Discussion Forum

Que. | Given the problem to maximize
f(x), X =(x1, x2 ,..... .xn) subject to m number of inequality constraints gi(x) ≤ bi , i = 1, 2 ...... m including the non-negativity constraints x ≥ 0 Which of the following conditions is a Kuhn-Tucker necessary condition for a local maxima at x ? |

a. | ∂L(X ' , λ' , S') / ∂xj = 0 , j= 1,2.....m |

b. | λ[gi(X') -bi]= 0, i =1,2,3...m |

c. | gi (X ') ≤ bi , i = 1,2....m |

d. | All of these |

Answer:λ[gi(X') -bi]= 0, i =1,2,3...m |