Q$4\mathrm{.}2($Algo$)$ Assign tasks to workers $[4\mathrm{.}1,4\mathrm{.}4]$

Consider the following six tasks that must be assigned to four workers on a conveyor$-$paced assembly line $($i$.$e$.,$ a machine$-$paced line flow$).$ Each worker must perform at least one task.

$\backslash$table$[[,\backslash$table$[[$Time to Complete$],[$Task $($seconds$)]]],[$Task $1,30],[$Task $2,20],[$Task $3,35],[$Task $4,45],[$Task $5,10],[$Task $6,30]]$

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?

Note: Enter your answer as a whole number.

Capacity

$85$ units per hour

b$.$ Now assume that tasks are allocated to maximize capacity of the line, subject to the conditions that $(1)$ a worker can perform at most two adjacent operations and $(2)$ all tasks need to be done in their numerical order. What is the capacity of this line now?

Note: Round your final answer to two decimal places.

Capacity of the revised line

units per hour