3 The Transylvania Olympic Gymnastics Team consists of six people. Transylvania must choose three people to enter both the balance beam and floor exercises. They must also enter a total of four people in each event. The score that each individual gymnast can attain in each event is shown in Table 89. Formulate an IP to maximize the total score attained by the Transylvania gymnasts.

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TABLE 89 Balance Floor Gymnast Beam Exercise 123456 8.8 7.9 9.4 8.3 9.2 8.5 7.5 8.7 8.7 8.1 9.1 8.6