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A model predicts N = -2(p - 9)2 + 162 sign-ups when the fee is p dollars. If the model predicts 112 sign-ups, what is the higher possible fee?

A model predicts N = -2(p - 9)² + 162 sign-ups when the fee is p dollars. If the model predicts 112 sign-ups, what is the higher possible fee?