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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.