$$ Worker $1$: Steps $1$ and $2$

$$ Worker $2$: Steps $3$ and $4$

$$ Worker $3$: Step $5$

$$ Worker $4$: Step $6$

$$ Worker $5$: Step $7$

a$.$ What is the bottleneck in this process?

b$.$ What is the capacity of this assembly line, in finished units$/$hour$?$

c$.$ What is the utilization of Worker $4,$ ignoring the production of the first and last

units?

d$.$ What is the average labor utilization of the workers, ignoring the production of the

first and last units?

e$.$ Assume the workers are paid $$15$ per hour. What is the cost of direct labor for the

bicycle?

f$.$ Based on the recommendations of a consultant, Atlas Inc. decides to reallocate the

tasks among the workers to achieve maximum process capacity. Assume that if a

worker is in charge of two tasks, then the tasks have to be adjacent to each other.

Also, assume that the sequence of steps cannot be changed. What is the maximum

possible capacity, in units per hour, that can be achieved by this reallocation?

g$.$ Again, assume a wage rate of $$15$ per hour. What would be the cost of direct labor

if $1$ single worker would perform all seven steps? You can ignore benefits of

specialization, set$-$up times, or quality problems.

h$.$ On account of a reduced demand forecast, management has decided to let go of $1$

worker. If work is to be allocated among the $4$ workers such that $($i$)$ the tasks can't

be divided, $($ii$)$ if $1$ worker is in charge of two tasks, the tasks have to be adjacent,

$($iii$)$ the tasks are assigned in the most efficient way and $($iv$)$ each step can only be