A pharmaceutical firm has been granted permission by the FDA to test the effectiveness of a new drug in combating a virus. The firm administers the drug to a test group of uninfected but susceptible individuals, and using statistical methods, determines that t months after the test begins, people in the group are becoming infected at the rate of D´(t) hundred individuals per month, where D´(t) = 0.2 − 0.04t^1/4 Government figures indicate that without the drug, the infection rate would have been W´(t) hundred individuals per month, where

If the test is evaluated 1 year after it begins, how many people does the drug protect from infection? What percentage of the people who would have been infected if the drug had not been used were protected from infection by the drug?

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W' (t) = 0.8e0.13t (1 + 0.132