industrial engineering hw

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IE 413 Engineering OR I
Homework #6
Due Tuesday, December 1, 2015
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Part I. Horizon Cable is about to expand its cable TV offerings in Smalltown by
adding MTV and other exciting stations. The activities in table below must be
completed before the service expansion is completed.
Activity Description Immediate
Predecessors
Duration
(Weeks)
A Choose stations none 2
B Get town council to approve expansion A 4
C Order converters needed to expand service B 3
D Install new dish to receive new stations B 2
E Install converters C, D 10
F Change billing system B 4
a. Draw the AOA (Activity-on-Arrow) network for the project and label the nodes so
that i<j if there is an arrow from node i to node j.
b. For each node (event), compute the ET (early time) and LT (late time).
c. For each activity, compute the ES (early start), EF (early finish), LS (late start), LF
(late finish), and TS (total slack or total float).
d. Which activities are on the critical path and how many weeks are required to
complete this project?
e. Set up a LP that can be used to find the project’s critical path.
Part II. When an accounting firm audits a corporation, the first phase of the audit
involves obtaining “knowledge of the business.” This phase of the audit requires the
activities in the following table:
Activity Description Immediate
Predecessors Duration
A Determining terms of engagement none 3
B Appraisal of auditability risk and materiality A 6
C Identification of types of transactions and possible
errors
A 14
D Systems description C 8
E Verification of systems description D 4
F Evaluation of internal controls B, E 8
G Design of audit approach F 9
a. Draw the AOA (Activity-on-Arrow) network for the project and label the nodes so
that i<j if there is an arrow from node i to node j.
b. For each node (event), compute the ET (early time) and LT (late time).
c. For each activity, compute the ES (early start), EF (early finish), LS (late start), LF
(late finish), and TS (total slack or total float).
d. Which activities are on the critical path and how many days are required to
complete this project?
e. Set up a LP that can be used to find the project’s critical path.

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