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A group of researchers found that people prefer training films of moderate length; shorter films contain too little information, while longer films are boring.

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A group of researchers found that people prefer training films of moderate length; shorter films contain too little information, while longer films are boring. For a training film on a particular task, the researchers determined that where t is the length of the film (in the ratings people gave for the film could be approximated by R(t) = - minutes). Find the film length that received the highest rating. 14t +49 The film length that received the highest rating is minutes. (Simplify your answer.)

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