$11\mathrm{.}2$ How can you improve throughput for the process in part $($b$)$ of problem $35?$ Assume that all $17$ workers have the ability to periorm the work at each stage but that no additional workers may be hired.

$11\mathrm{.}1$ The production process shown in Exhibit $11\mathrm{.}27$ consists of five stages. The numbers in parentheses are the times in minutes to complete one unit before it moves on to the next stage. The demand rate is $36$ units per hour.

Exhibit $11\mathrm{.}27$ Process Flow for Problem $35$

a$.$ How many workers are needed at each stage if management wants a utilization of at least $90$ percent?

b$.$ Suppose that the number of workers at each stage are as follows:

$\backslash$table$[[$Stage$,$Number of Workers$],[$A$,3],[$B$,3],[$C$,5],[$D$,2],[$E$,4]]$

What is the output rate at each stage?

c$.$ Where is the bottleneck in this process?