英语翻译根据效用最大化的均衡条件MRS12＝eq\f(P1,P2),其中,MRS12＝eq\f(MU1,MU2)＝eq\f(X2,X1),eq\f(P1,P2)＝eq\f(4,2)＝2,于是有eq\f(X2,X1)＝2,X1＝eq\f(1,2)X2.将X1＝eq\f(1,2)X2代入预

Question

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

Answer 1

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