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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
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