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英语翻译根据效用最大化的均衡条件MRS 12 =eq \f(P 1 ,P 2 ),其中,MRS 12 =eq \f(MU

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英语翻译
根据效用最大化的均衡条件MRS 12 =eq \f(P 1 ,P 2 ),其中,MRS 12 =eq \f(MU 1 ,MU 2 )=eq \f(X 2 ,X 1 ),eq \f(P 1 ,P 2 )=eq \f(4,2)=2,于是有eq \f(X 2 ,X 1 )=2,X 1 =eq \f(1,2)X 2 .将X 1 =eq \f(1,2)X 2 代入预算约束等式4X 1 +2X 2 =80,有 4·eq \f(1,2)X 2 +2X 2 =80 解得X 2 =20 进一步得 X 1 =10
According to the conditions of maximization of utility:MRS 12 =eq \f(P 1 ,P 2 ),in this equation,MRS 12 =eq \f(MU 1 ,MU 2 )=eq \f(X 2 ,X 1 ),eq \f(P 1 ,P 2 )=eq \f(4,2)=2,which can be inferred:eq \f(X 2 ,X 1 )=2,X 1 =eq \f(1,2)X 2 ,meanwhile,take X 1 =eq \f(1,2)X 2 into 4X 1 +2X 2 =80,here comes 4·eq \f(1,2)X 2 +2X 2 =80,inferred X 2 =20 final outcome is X 1 =10