A gymnastics academy offers classes to children of different ages. Software used by the

Chapter 12, Problem 23

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A gymnastics academy offers classes to children of different ages. Software used by the academy tracks enrollment data using vectors. Let E = (e1, e2, e3, e4, e5) represent the number of children enrolled at each of five different experience levels, from beginner (1) to advanced (5), and let E max = (40, 40, 30, 15, 10) be the maximum allowed enrollment at each level. (a) Let E = (51, 47, 41, 22, 23) give the number of applicants at each level for the next session. After full enrollment is reached, the remaining applicants are placed on a wait list, L . Find L . (b) At the start of the next session, E = E max. Let D = (8, 4, 9, 7, 6) be the number of dropouts after the first week of the next session. Find F = E D and G = L D . What do these vectors tell you about enrollment? 24. Let E be t

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