Illinois Furniture, Inc., produces all types of office furniture. The "Executive Secretary" is a chair that has been designed using ergonomics to provide comfort during long work hours. The chair sells for $130. There are 480 minutes available during the day, and the average daily demand has been 50 chairs. There are eight tasks:

task performance time task must follow
(min) task listed below
A 4 --
B 7 --
C 6 A, B
D 5 C
E 6 D
F 7 E
G 8 E
H 6 F, G

a- Draw a precedence diagram of this operation.
b- What is the cycle time for this operation?
c- What is the theoretical minimum number of workstations?
d- Assign tasks to workstations.
e- How much total idle time is present each day?
f- What is the overall efficiency of the assembly line?

Can you provide algebraic details for all calculations?