1 [125 [ 125 points] Zurich Kinder-TV (ZTV) is a Swiss television production company interested in exploiting the upcoming world of interactive touch-screen television. They are developing an educational children's television called "Susi und Freund" in which the children will be able to influence the action on the TV program by touching the screen in response to what they are being shown. You have been hired as an intern for the summer. Since you show a great deal of promise, you are being shared between four departments and will be carrying out tasks for each of them. Adapting the ZTV program for the different language groups in Switzerland will be no simple matter. Large parts of the educational material are based on teaching language and must be extensively modified to be pedagogically effective in each language. Thus, it is important to know how many people will be speaking each language in Switzerland in the coming years and in the long term. The main language groups in Switzerland now are German, French, and Italian. Government statistics show that in each five-year period: 3% of German speakers assimilate into the French community. 2% of German speakers assimilate into the Italian community. 5% of French speakers assimilate into the German community. 5% of French speakers assimilate into the Italian community. 5% of Italian speakers assimilate into the German community. 4% of Italian speakers assimilate into the French community. If the current population of 6 million Swiss citizens consists of 4.5 million Germans, 1 million French, and 0.5 million Italians, determine the number of people who will be speaking each language: a) After one five-year period. b) After two five-year periods. c) In the long term