Q$4\mathrm{.}3($PowerToys$)$ PowerToys Inc. produces a small remote$-$controlled toy truck on a conveyor belt with $9$ stations. Each station has, under the current process layout, $1$ worker assigned to it$.$ Stations and processing times are summarized in the following table:

$\backslash$table$[[$Station$,$Task,Processing Times $($seconds$)],[1,$Mount battery units,$75],[2,$Insert remote control receiver,$85],[3,$Insert chip,$90],[4,$Mount front axle,$65],[5,$Mount back axle,$70],[6,$Install electric motor,$55],[7,$Connect motor to battery unit,$80],[8,$Connect motor to rear axle,$65],[9,$Mount plastic body,$80]]$

a$.$ What is the bottleneck in this process? $[44\mathrm{.}1]$

b$.$ What is the capacity, in toy trucks per hour, of the assembly line? $[4\mathrm{.}1]$

c$.$ What is the direct labor cost for the toy truck with the current process if each worker receives $$\frac{15}{?}$ hour, expressed in dollars per toy

d$.$ What would be the direct labor cost for the toy truck if work would be organized in a work cell; that is$,1$ worker performs all tasks? Assume that the processing times would remain unchanged $($i$.$e$.,$ there are no specialization gains$).[4\mathrm{.}5]$

e$.$ What is the utilization of the worker in station $2?[4\mathrm{.}1]$