Consider two ydung train brothers named Lucas and Joshua. They allocate their income, coming from birthday gifts and weekly allocations, towards games and candies. Lucas and Joshua spend all their money on games and candies and decide jointly on money allocation. Their budget constraint is therefore: m =pGG+ch Note here that G denotes money spent on games, and C denotes money spent on candies. In this example: U(G', C) = 100[G'5 + 0051-3 + 200 m=400 PG=20 Pc=10 ' (a) Calculate the MR8 and interpret. Use G on x axis. ( 5 points) (b) Calculate the demand function for G and C (use MRS = 8130) (10 points) umbers (slope and number on x and y axis). Put G on x axis. (5 points) ((1) Use the Lagrangian to solve for the demand faction for G and C (instead of MRS = SEC) (10 points)