41. It is anticipated that steel production at a new plant in
Bethlehem, Pennsylvania, will generate approximately
50,000 gallons of raw sewage per hour that must be
treated at a local treatment facility. The plant plans to
use excess capacity on existing pipes. Will the existing
system of pipes between pumping stations be sufficient
42. The Wichita State University (WSU) baseball team is
preparing for the upcoming college world series. It has
two games left in the regular season, followed by at least
two games in the double elimination World Series
tournament. WSU has already played three of the four
teams—Texas (UT), Arizona State (ASU), and Florida
State (FSU)—and is very familiar with its other
opponent, California State University, Fullerton
(CSUF).
WSU has four starting pitchers and will start a
different one against each team. Based on past
performance, the WSU coach has compiled an
effectiveness statistic for each pitcher based on the
pitcher’s and the opponent team’s strengths and
weaknesses. He has used these statistics throughout the
year, which may account for his successful 45–12
won–lost record. The effectiveness statistics for these
opponents are as follows.
Effectiveness Factors
UT ASU FSU CSUF
Clyde Rollins 62 65 80 50
Carlos Pascual 76 70 82 55
Sid Thompson 75 40 77 57
Ted Quillici 45 48 50 36
a. Based on these factors, which pitcher should WSU
start against each team to maximize the total overall
effectiveness rating?
b.Suppose the WSU coach will let a pitcher start up to
two games. Modify the problem and solve first as an
assignment problem and then as a transportation
problem.
c. Use the transportation model format to determine
the starting pitchers if the WSU coach will allow a
pitcher to start as many as three games.
43. During the early 1970s, the political scandal Watergate
shook the United States and toppled a presidency. While
there were many aspects to the episode (robbery,
enemies lists, abuse of power, cover-ups, etc.), a key
component was the “laundering” of funds from big
money contributors to campaign coffers. This practice
consists of channeling a large “gift” of money through
various banks and individuals so that its source cannot be
traced. Unfortunately, such activities continue today as
evidenced by congressional investigations beginning in
1997.
Suppose millionaire I. S. Halverson has $5000 (in
reality, he would probably have 10 or 100 times this
amount) that he would like to donate “anonymously” to
the Independent National Party (INP). He might first
split the money up in smaller units and deposit the
money in several bank accounts spread throughout the
world. Money from these accounts could be mixed or
further divided and sent to other accounts or individuals,
who, in turn, would do the same, until several checks for
$1000 or less eventually arrive at party headquarters.
To avert suspicion, a limit has been placed on the
amount of each transaction between intermediaries.
These limits are given in the network at the top of the
next page depicting I. S. Halverson, the intermediaries,
and the INP. Given these limitations, how much of the
$5000 can I. S. Halverson launder to the INP?
(Note:The federal government employs management
scientists who also use such models to help determine
transaction limits that should be monitored.)
to support this operation, or will additional piping
capacity be required? (The numbers give the maximum
number of thousandsof gallons per hour possible through
each pipe.) Sewage can flow in either direction between
Stations 1 and 2 and Stations 4 and 5.
Additional Problems/Cases CD-465
44. Luxor Motorhomes has two plants, one in Riverside,
California, and the other in Des Moines, Iowa. Each
plant can produce three different models: the Grand
Cruiser, the Traveler, and the Weekender. Labor time
at the Riverside plant limits production to 600 models
per month, while the Des Moines plant can produce up
to 1000 models per month. The manufacturing costs and
monthly production capacities for each model vary,
depending on the plant. These costs are summarized in
the following table.