(Family) Migration: Assume that each person has three periods to live. At the beginning of the first period, they need to decide whether to stay at their home location (H) or move to a distant location (D). Table below shows Jack and Jill's per-period earning at each location. The cost of moving is 100 per person. The interest rate is 0.20. H 100 D 150 100 Jack Jill 75 a. Suppose that the couple had to stay together, where would they choose to be? What is their total net lifetime earnings (total earnings minus total costs)? Identify the tied-mover or tied- stayer? b. Suppose they could stay apart, but Jack has to travel to visit Jill once per period. The cost of such visit is 10 per trip. Where would each of them choose to be? What is their total net lifetime earnings (earnings minus costs)?