1. Assume there is initially positive selection of migrants from a home country to the U.S. Now suppose the U.S. enacts legislation granting all workers, including newly arrived immigrants, a minimnum income floor of y dollars. a. Use the Roy model to show on a graph how you would expect this type of welfare program generally to influence the incentive to migrate to the United States. (Ignore any issues regarding how the welfare program is funded.) b. Does this welfare program change the selection of the immigrant flow? In particular, are immigrants more likely to be negatively selected than in the absence of a welfare program