QUESTION 3: 30 POINTS TOTAL Adam is considering the possibility of entering the labor force. His preferences are described by the utility function, U : h2/3clf3} where h denotes his hours spent in leisure and c denotes his consumption of a composite good. Let to denote the wage per hour, and normalize the price of the composite good to 1 {i.e.,-pc = 1} . Assume that Andy has a non-labor income of g per day, and further that his daily time constraint is H : 24 : I + h hours, where 1 indicates hours of labor supplied. Based on this information, answer the following: A. Find (i) an expression for Adam's labor supply choice ( l J as a function of the wage rate (1:) ) and his non-labor income and (ii) the condition that ensures he would never accept a job offer requiring he work 8 hours per day. [15 points] 13. Now suppose that condition is satised, but that Adam finds part-time work (i.e., where he can supply less than 8 hours per day}. Suppose further that the government imposes a proportional tax, '7' where 0