# What is the theoretical minimum number of workstations?

Introduction to Supply Chain Management

Homework 1 (25 points)

For all the problems, to receive full scores, you have to show your complete and accurate work. If you only provide the final answers without showing your

computations, you will not be assigned a full score (or you will miss the opportunity of receiving partial credit). All homework is to be turned in on time through

D2L.

Problem 1: Line Balancing (11 points)
Employees at Ford work from 6am to 2pm Monday through Friday. Everyone on the assembly line is allowed a 30 minute lunch and two 20 minute breaks. Other cross-

trained associates cover lunches and breaks for the associates on the assembly line so the line doesnt stop. After three weeks at Ford, you record the processes of

the assembly line are laid out in the following manner:
A none 50
B none 40
C A 20
D C 45
E C 20
F D 25
G E 10
H B, F, and G 35

The Plant Manager needs the line to achieve an output of 400 units per day.
a) Compute the Takt time for the line (2 points).
b) What is the theoretical minimum number of workstations? (2 points)
c) Draw the precedence diagram with the processing times for each task displayed (3 points).
d) Assign tasks to work stations using the largest eligible task heuristic rule to break any ties (2 points).
e) Compute the efficiency and percent idle time for the system (2 points).