Imagine that there is a pandemic going on where one percent of those infected become seriously ill. You don't seem to get any long-term immunity from being infected, so those who have once been infected can soon be infected again. Given the restrictions on social distancing that the country of Greece is able to maintain, the number of infected people can be estimated with high certainty to 100,000 a month. Fortunately, there are two different vaccines, A and B, both of which provide very good protection against infection. Vaccine A is in abundance and with this it is possible to vaccinate the entire population of Greece, which consists of 10 million people, in a flash. Unfortunately, vaccine A has a rare side effect that makes one in a thousand vaccinated become seriously ill. Vaccine B has no side effects, but due to delivery problems, the vaccine will not be available until 12 months from now. Once vaccine B is delivered, it will be lightning fast to vaccinate the entire population. For the sake of simplicity, assume that the infection does not subside until everyone has been vaccinated. Care is about how many people become seriously ill from either infection or vaccine? show how the calculations are made and motivate your answer. b) In the identical neighboring country Albania, the infection is lower and the number of infected people can be estimated with good certainty at 40,000 people per month. What decision would you make if you were responsible for infection control in this country? Show how you calculate and reason. c) A third identical country, Italy, is also home to 10 million people, 100,000 of whom are infected every month. However, the population of Italy is divided into two equal groups - G and U - who are both infected to the same extent. In group G, the risk of becoming seriously ill with infection is two percent, but in group U, only one in a thousand becomes seriously ill from the infection. The risk of getting seriously ill from vaccine A is the same for groups G and U. Everyone knows who belongs to groups G and U respectively. What would you do as an infection control officer in Italy?