We just have to show the steps

2 on X = RX. is represented by : U ( x , ) 212 ) = ( ax, + bag ) ye , a , by o p to . ( i) Is this conven or strictly conver? Defu: y satisfies convenity if xay & x E ( o, 1 ) 3 a 2 + ( 1 - " )y z y Strict couren if: - axy , b zy at b A E (0 ) 1 ) 7 2 a + ( 1 - 2 ) b x y ( ) is a (p , m ) homogenous of degree zero? n ( m , p ) = n ( x m , Q p ) Is walras law satisfied ? walras law: n box ( m , p ) = . . 2 pini ( m , p ) = m. ie, n ( m, p ) is on the budget live