The specifications for a manifold gasket that installs between two engine parts calls for a thickness of $2\mathrm{.}500$ mm $\backslash$pm $\mathrm{.}020$ mm$.$ The standard deviation of the process is estimated to be $0\mathrm{.}004$ mm$.$ The process is currently operating at a mean thickness of $2\mathrm{.}50$ mm$.($a$)$ What are the upper and lower specification limits for this product? $($b$)$ What is the Cp for this process? $($c$)$ The purchaser of these parts requires a capability index of $1\mathrm{.}50.$ Is this process capable? Is this process good enough for the supplier? $($d$)$ If the process mean were to drift from its setting of $2\mathrm{.}500$ mm to a new mean of $2\mathrm{.}497,$ would the process still be good enough for the supplier's needs?