There are n = 5000 people at a university campus. and all are tested every week for the presence of a virus VSV. It is known that 10% of the campus population is infected. Testing can be performed in one of two ways: {i} each person's nasal sample is tested individually, or {ii} k samples are mixed together and pooled testing is performed. The test is characterized by the probability of correct detection P.3d : 75% and probability of false alarm Pf\" = 5% regardless of the pool size. In other words, if one or more of the is; samples in a pool are infected, the test will come back positive with probability "5%: if none of the in: samples are infected, the test will come back positive with probability 5%. If pooled testing is performed and a test comes back positive. people from the pool are called back and each is tested individually. Determine the expected vveekly cost of testing for each of the strategies {i} and {ii} if the cost of a single test is c=1. What strategy will the university employ if its goal is to minimize the cost of testing? Fill in the corresponding pool size [1 if strategy {i} is chosen}