Reference no: EM132712481

The Holiday Charity Group uses volunteers to assemble care packages for needy families for the coming holiday season. The group would like to organize the work as efficiently as possible. A list of tasks, task times, and precedence requirements are given in the following table.

Task Precedence Relationships Task time (minutes)

A ------- 6
B A 4
C B 6
D B 5
E C,D 4
F E 5

a. Draw the precedence diagram. What is/are the bottleneck task(s) of the assembly line if the operation manager assigns one volunteer per task? What is the hourly capacity of the line (in units per hour)?

b. What are the minimum and maximum cycle times? What hourly range of theoretical output is possible for this assembly line?

c. If the group wants to finish a care package every 10 minutes, what is the theoretical minimum number of volunteers needed? Balance the assembly line (i.e., assign tasks to workstations). How many volunteers should be called in? Calculate the efficiency of the assembly line. How many packages can be assembled in a five-hour shift?

d. Suppose that volunteers are plentiful. Balance the assembly line to maximize output. What is the efficiency of the assembly line? How many care packages can be assembled in a five-hour shift?

e. Suppose that volunteers are plentiful and the charity can add the second assembly line with an identical configuration. How many care packages can be assembled in a five-hour shift?