$(8$ points$)$ C&A Fast Food has four activities in serving a customer: greet customer, take order, process order, and deliver order. Each activity is staffed by one employee $($for a total of four employees$).$ The processing time for each activity is given as follows:

$\backslash$table$[[$Activity$,$Processing time per customer,$\backslash$table$[[$Wage rate$],[($$ per hour$)]]],[$Greet customer,$2$ seconds,$5],[$Take order,$30$ seconds,$5],[$Process order,$60$ seconds,$15],[$Deliver order,$5$ seconds,$8]]$

Assume demand is unlimited. If two additional employees are added to the current bottleneck activity, what will be the cost of direct labor in $ per customer?

$26.(6$ points$)$ A company making tires for bikes is concerned about the exact width of its cyclocross tires. The company has a lower specification limit of $22\mathrm{.}9$ mm and an upper specification limit of $23\mathrm{.}5$ mm $.$ The standard deviation is $0\mathrm{.}11$ mm and the mean is $23\mathrm{.}2$ mm $.$

What is the process capability index for the process? $($Round your answer to $4$ decimal places.$)$