The maximum membership term for each member of the Service
Chapter , Problem 16(choose chapter or problem)
The maximum membership term for each member of the Service Club is 3 years. Each first-year and seoond-ycar member recruit< one new I>Cr>On who begins the membership term in the following year. Of those in their first year of membership. 50~ of the members resign. and of those in their second year of membership. 70% resign. (a) Write a 3 x 3 matrix A so that if x, is currentl y the number of Service Club members in their ith year of membership und y, is the number in their ith year of membership a year from now, then y = ilx. (b) Suppose that there arc 60 Service Club members in their lin.t year. 20 members in their second year. and 40 member> in their third year of membership. Find the di>tribution of members for next year and for 2 years from now.
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