$\backslash$table$[[$Work element,Immediate Predecessor,Time $($minutes$)],[$A$,-,5],[$B$,-,8],[$C$,$A$,2],[$D$,$A$,4],[$E$,$B$,8],[$F$,C,3],[$G$,B,C,5],[H,F,4],[$J$,D,H,2],[$K$,G,H,7],[$L$,E,G,3],[M,-,5],[N,L,M,10],[P,J,K,6],[$Q$,L,N,8],[$R$,P,Q,10]]$

Based on the information given in the case, answer the following questions. Show all work that you need to arrive at your answers.

a$)$ Develop the activity precedence diagram.

b$)$ Determine the minimum cycle time, the maximum cycle time.

c$)$ What will be the production rate per day if minimum cycle time is used? maximum cycle time is used?

d$)$ In order to meet the projected demand what should be the cycle time?

$3$

e$)$ What is the theoretical number of minimum workstations?

f$)$ Assign work elements according to the most following tasks rule.

g$)$ Assign work elements according to the greatest positional weight rule.

h$)$ Assign work elements according to the shortest processing time rule.

i$)$ Calculate the percentage idle time and assembly line efficiency for each of the above three rules.

j$)$ Which assembly line do you recommend? Why?