2003
Problems
Problem
A
What
is it worth?
In 1945, Noah Sentz died in a car accident and
his estate was handled by the local courts. The state law stated
that 1/3 of all assets and property go to the wife and 2/3 of
all assets go to the children. There were four children. Over
the next four years, three of the four children sold their shares
of the assets back to the mother for a sum of $1300 each. The
original total assets were mainly 75.43 acres of land. This week,
the fourth child has sued the estate for his rightful inheritance
from the original probate ruling. The judge has ruled in favor
of the fourth son and has determined that he is rightfully due
monetary compensation. The judge has picked your group as the
jury to determine the amount of compensation.
Use the
principles of mathematical modeling to build a model that enables
you to determine the compensation. Additionally, prepare a short
one-page summary letter to the court that explains your results.
Assume the date is November 10, 2003.
To print a copy of problem A in pdf format
click here.
Problem
B
How
fair are major league baseball parks to the players?
Consider the following major
league baseball parks: Atlanta Braves, Colorado Rockies, New York
Yankees, California Angles, Minnesota Twins, and Florida Marlins.
Each field is in a different
location and has different dimensions. Are all these parks "fair"?
Determine how fair or unfair is each park. Determine the optimal
baseball "setting" for major league baseball.
|
|
|
|
Outfield
Dimensions |
|
|
|
Wall
Height |
|
|
|
Franchise
|
Left
field |
Left
center |
Center
field |
Right
center |
Right
field |
Left
Field |
Center
Field |
Right
Field |
Area
of Fair Ter |
|
Angels
|
330
|
376
|
408
|
361
|
330
|
8
|
8
|
18
|
110,000
|
|
Braves
|
335
|
380
|
401
|
390
|
330
|
8
|
8
|
8
|
115,000
|
|
Rockies
|
347
|
390
|
415
|
375
|
350
|
8
|
8
|
14
|
117,000
|
|
Yankees
|
318
|
399
|
408
|
385
|
314
|
8
|
7
|
10
|
113,000
|
|
Twins
|
343
|
385
|
408
|
367
|
327
|
13
|
13
|
23
|
111,000
|
|
Marlins
|
330
|
385
|
404
|
385
|
345
|
8
|
8
|
8
|
115,000
|
To
print a copy of problem B in pdf format click here.
|
