Problem $8-9($Algo$)$

An assembly line is to be designed to operate $5$ hours per day and supply a steady demand of $300$ units per day. Here are the tasks and their performance times:

$\backslash$table$[[$TASK$,\backslash$table$[[$PRECEDING$],[$TASKS$]],\backslash$table$[[$PERFORMANCE$],[$TIME$],[($SECONDS$)]],$TASK,$\backslash$table$[[$PRECEDING$],[$TASKS$]],\backslash$table$[[$PERFORMANCE TIME$],[($SECONDS$)]]],[$a$,-,38,g,d,8],[$b$,-,33,h,e,10],[$c$,-,28,i,f,16],[$d$,a,8,j,g,13],[$e$,b,18,k,h,i,18],[f,c,38,l,j,k,23]]$

b$.$ What is the workstation cycle time required to produce $300$ units per day?

Workstation cycle time

seconds per unit

c$.$ What is the theoretical minimum number of workstations?

Note: Round up your answer to the next whole number.

Minimum number of workstations

d$.$ Assign tasks to workstations using the longest operating time.

Note: Leave no cells blank $-$ be certain to enter $"0"$ wherever required.

$\backslash$table$[[$Work Station,Task,Idle Time$],[$I$,,],[$II$,,],[$III$,,],[$IV$,,],[$V$,,]]$