Q6. Each week, Mara works l hours per week to consume x1 and x2 quantities of two goods. She has L hours of time at her disposal per week. She choses how many hours she works and the quantities of these two goods she consumes to maximise her weekly utility function given by U(m1,x2?l) : (11171051) + lnwg) + (1 or )ln(L l), which is dened For I] 51:: L and for 11.12 1} 0. Here n and ,8 are positive parameters satisfying o: + ,3 <: she fac the budget constraint p232="ml," where w is wage per hour p1 unit price of good and p: find mara demands i: .135 her labor supply l that maximis weekly utility as functions pl pg m using lagrangian method. define mm o to simplify equations. points assume o: equal has hours at disposal day. can buy either one or two units with income generates by working for hours. if maximiss utility. what interpretation lagrange multiplier in this case please be concise exprs your mun words. imagine unit-price increases due a negative supplyi shock all else equal. discuss how why inchese affecls optimum i market poims now i125 instead e15. does change affect z marlrjet comment on parameter might signify interpret shift leads chang you observe ii.>