Group A

$1$ Find the shortest path from node $1$ to node $10$ in the network shown in Figure $3.$ Also, find the shortest path from node $3$ to node $10.$

$2$ A sales representative lives in Bloomington and must be in Indianapolis next Thursday. On each of the days Monday, Tuesday, and Wednesday, he can sell his wares in Indianapolis, Bloomington, or Chicago. From past experience, he believes that he can earn $$12$ from spending a day in Indianapolis, $$16$ from spending a day in Bloomington, and $$17$ from spending a day in Chicago. Where should he spend the first three days