(50 points total, 5 points each section} Suppose that Anna has a utility function IH alu f Me, 3} = c She has ten units of time h = 10 and two sources of income, wage income unit\" {where N\" is hours worked] and non-wage income w. She pays 32C\") in taxes. 1. Suppose that Anna's wage rate is the sum of all the digits of your SBU 1]] number, and call it w [e.g. if your id number is 27896, then u: = 2+7+3+9+ = 32}. Her non-wage income is 71' = a: x 13. Plot Anna's budget constraint using these values, with c in the y-axis and E in the Int-aids. . Write down her maximization problem. Make sure to specify which are her choice variables, and to properly state her budget constraint using the parameters above. . What marginal condition characterizes her optimal choice of consumption and leisure? . Compute her optimal consumption and leisure. Show all your intermediate steps to obtain full credit. That is, just writing down the number for c and E is not enough. I want to see how you are solving the problem. . Using this, nd N\