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The correct answer is $50$. It's given that the function $f$ gives the total number of people on a company retreat with $x$ managers. It's also given that $7$ managers are on the company retreat. Substituting $7$ for $x$ in the given function yields $f\left(7\right)=7\left(7\right)+1$, or $f\left(7\right)=50$. Therefore, there are a total of $50$ people on a company retreat with $7$ managers.