Citibank

Ellen is the Division Head of Citibank for Eastern Europe. Three branches were just opened and she has to assign one Branch Manager for each of the branches. She has shortlisted four candidates for the new positions and has to assign them based on minimum cost possible. The cost of assigning a manager to each of the three branches is determined. It will cost $$19,000$ to assign Ester to Prague, $$14,000$ to Zagreb, and $$18,000$ to Riga. It will cost $$13,000$ to assign Francis to Prague, $$17,000$ to Zagreb, and $$21,000$ to Riga. It will cost $$12,000$ to assign George to Prague, $$20,000$ to Zagreb, and $$10,000$ to Riga. It will cost $$16,000$ to assign Helen to Prague, $$11,000$ to Zagreb, and $$15,000$ to Riga.

Which manager should Ellen assign to what location? Who will not be assigned to a new location at all? Solve the problem using the Hungarian Method.