Sara is choosing her lifetime consumption plan. Her income when "young" (income in period 1) is w₁=400. After she retires, her income drops to zero w₂=0(income in period 2). Sara's utility function is U(c₁,c₂)=lnC₁+1/(1+ )lnC₂ and discount rate is =2

-In the consumption space, mark Sarah's endowment point and depic intertemporal budget set, assuming interest rate r=200%. What is the slope of the budget line? Find the present and future value of Sarah's income and show them in the graph.