A bottling machine fills soda bottles with an average of $16\mathrm{.}000$ ounces of soda. The standard deviation is $0\mathrm{.}003$ ounces. If the design specification for the fill weight of the bottles is $16\mathrm{.}000$ ounces plus or minus $0\mathrm{.}010$ ounces, calculate the process capability index of the machine.

a$.$ More than $2$ but less than or equal to $3$

b$.$ More than $3$

c$.$ More than $1$ but less than or equal to $2$

d$.$ Less than or equal to $1$