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Given the Expression min(x,y)\min ( \mathrm { x } , \mathrm { y } )

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Given the expression min(x,y) \min ( \mathrm { x } , \mathrm { y } ) expenditure Pxx+PyyP _ { x } x + P _ { y } y subject to: U(x,y) =U\mathrm { U } ( x , y ) = \mathrm { U } ^ { * } , the endogenous variables are:


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