For $120$ consecutive days, a process engineer has measured the temperature of champagne bottles as they are made ready for serving. Each day, she took a sample of $8$ bottles. The average across all $960$ bottles $(120$ days, $8$ bottles per day$)$ was $46$ degrees Fahrenheit. The standard deviation across all bottles was $0\mathrm{.}8$ degrees Fahrenheit.

When constructing an X$-$bar chart, what would be the upper control limit$?$

Note: Round your intermediate calculations and final answer to $4$ decimal places.