1. {a} Derive the Marshalian demand functions and the indirect utility function for the following utility function: W JIII D: me E \"($1132113}=I13$ I : riimsiniisau {b} Using the indirect utility function that you obtained in part {a}, derive the expenditure function and from it, derive the Hicksian demand function for good 1. {c} Jack and his brother are sitting at the dinner table, discussing their lives. Both share the same utility function as given in part {a}. Jack is boasting about his $400!} a month salary, with perunit prices of s1, s2 and r3 being $4,$5 and $5 respectively at the big city where he lives. Jack's brother claims that his life in the village is much better because although his income E only $11K!) a month, the perunit prices of she-:2 and 33 there are only $12,$1 and $1 respectively. Do you agree with his brother? Why or why not