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06/08/2014, 15:21
... equations: U x1 G x1 U x2 0, G x2 0, G x1 0, x1 x U* 36 .49 3, (8 .47 ) 12 (8 .48 ) These equations lead to 4x1 x2 0, Therefore, x* 2 .46 6, x* 4. 866, 2.027 (8 .49 ) It can be shown that if either x1 or x2 is ... Keisler (19 86) and Kaplan (2002), and in books on optimization, such as Fox (19 71) , Beightler et al (19 79), and Chong and Zot (20 01) For the case of two independent variables, x1 and x2, with U(x1, ... following system of equations: U x1 G1 x1 G2 x1 m Gm x1 U x2 G1 x2 G2 x2 m Gm x2 U xn G1 xn G2 xn m Gm xn Lagrange Multipliers 47 7 G1(x1, x2, x3, , xn) G 2(x1, x2, x3, , xn) 0 Gm(x1, x2, x3,...