$1.$When using the process potential equation, a value of $1\mathrm{.}0$ has been chosen$$somewhat arbitrarily as the threshold for high quality manufacturing. As manufacturing$$becomes increasingly competitive and quality expectations increase, many companies$$feel this threshold is inadequate. Rather than redefining the process potential equation,$$one can simply choose a different threshold to denote high quality manufacturing.$$Compute the process potential threshold needed if high quality production is defined as$$being within $\backslash$pm $5$ standard deviations around the target. $($You must show work.$)$