$($Empty System, Labor Utilization$)$ Consider a process consisting of three resources in a worker$-$paced line and a wage rateQ$4\mathrm{.}2($Assign Tasks to Workers$)$ Consider the following $6$ tasks that must be assigned to $4$ wo

line $($i$.$e$.,$ a machine$-$paced line flow$).$ Each worker must perform at least one task.

The current conveyor$-$paced assembly$-$line configuration assigns the workers in the following way:

Worker $1$: Task $1$

Worker $2$: Task $2$

Worker $3$: Tasks $3,4$

Worker $4$: Tasks $5,6$

a$.$ What is the capacity of the current line? $[4\mathrm{.}1]$

b$.$ Now assume that tasks are allocated to maximize capacity of the line, subject to the conditions that $(1)$ a worker can

of $$10$ per hour. Assume there is unlimited demand for the product.

a$.$ How long does it take the process to produce $100$ units starting with an empty system? $[4\mathrm{.}2]$

b$.$ What is the average labor content? $[4\mathrm{.}3]$

c$.$ What is the average labor utilization? $[4\mathrm{.}3]$

d$.$ What is the cost of direct labor? $[4\mathrm{.}4]($Empty System, Labor Utilization$)$ Consider a process consisting of three resources in a worker$-$paced line and a wage rate

of $$10$ per hour. Assume there is unlimited demand for the product