UNC Economics Worksheet

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Homework #3 Fall 2020
Chapter 15
Question 1: Determine which shipping alternative would be most economical to ship 30 boxes of
parts when each box has a price of $280 and holding costs are 25 percent of price, given this
shipping information: overnight, $340, two-day, $200, six-day, $280.
Question 2: A manager must make a decision on shipping. There are two shippers, A and B. Both
offer a two-day rate: A for $512 and B for $530. In addition, A offers a three-day rate of $480 and a
nine-day rate of $411, and B offers a four-day rate of $465 and a seven-day rate of $446. Annual
holding costs are 39 percent of unit price. Four hundred and ten boxes are to be shipped, and each
box has a price of $144. Which shipping alternative would you recommend?
Chapter 16:
Question 1: the following table contains information concerning four jobs that are awaiting processing
at a work center.
Job
A
B
C
D
Job Time
(Days)
15
7
10
6
Due Date
(Days)
21
15
16
17
a. Sequence the jobs using (1) First come, first served, (2) Shortest processing time, (3) Earliest due
date, and (4) Critical ratio. Assume the list is by order of arrival.
b. For each of the methods in part a, determine (1) the average job flow time, (2) the average
tardiness, and (3) the average number of jobs at the work center.
c. Is one method superior to the others?
Question 2: The times required to complete each of eight jobs in a two-machine flow shop are shown
in the table that follows. Each job must follow the same sequence, beginning with machine A and
moving to machine B.
TIME (hours)
Job
Machine A
Machine B
a
16
5
b
3
13
c
8
7
d
9
6
e
2
14
f
14
4
g
18
14
h
20
11
a. Determine a sequence that will minimize makespan time.
b. Find machine B’s idle time.
c. For the sequence determined in part a, how much would machine B’s idle time be reduced by
splitting the last two jobs in half?
Question 3: The Budd Gear Co. specializes in heat-treating gears for automobile companies. At 8:00
a.m., when Budd’s shop opened today, five orders (listed in order of arrival) were waiting to be
processed.
Order
A
B
C
D
Order Size
(units)
16
6
10
8
Per Unit Time in
Heat Treatment
(minutes/unit)
4
12
3
10
Due Date
(min. from now)
160
210
180
190
E
4
1
220
a. If the due date rule is used, what sequence should be used?
b. What will be the average job tardiness?
c. What will be the average number of jobs in the system?
d. Would the Shortest processing time rule produce better results in terms of average job tardiness?
Question 4: Determine the minimum number of workers needed, and a schedule for the following
staffing requirements, giving workers two consecutive days off per cycle (not including Sunday).
Day
Staff
needed
Mon
Tue
Wed
Thu
Fri
Sat
5
4
5
6
7
8
Chapter 17:
Question 1: For each of the following network diagrams, determine both the critical path and the
expected project duration. The numbers on the arrows represent expected activity times.
a. Activity-on-arrow diagram
b. Activity-on-node diagram
c. Activity-on-arrow diagram

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