In: Economics
Donald and Hillary each have 10 hours of labor (L) that can be used to produce candy (C) and soup (S). Donald’s utility function is given by: Ud = C^0.3 S^0.7 and Hillary’s is: UH = C^0.5S^0.5. Neither have preferences over production. Production of each good is determined by: C = 2Lc and S = 3Ls.
(a) What must be the price ratio pc/ps be?
(b) Set the wage equal to $1. Given the above price ratio, how much C and S will Donald and Hillary demand?
(c) How should labor be allocated between the two goods to meet the demand calculated in part b)?