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Question: In the mid-1990s, DHL was the


In the mid-1990s, DHL was the world’s largest shipping company, with $5.7 billion in revenue and 60,000 employees. Larry Hillbloom was the “H” in DHL and founder of the company. DHL started on a shoestring budget in 1969 with a business plan to deliver shipping documents by air courier to ports of call days before cargo ships arrived, so that vessels could be unloaded quickly upon arrival and be on their way. The company grew into an international air courier, making Hillbloom a millionaire before he turned 30. While not as famous in the United States as Federal Express, overseas DHL is so ubiquitous that its name is synonymous with next-day-air shipping in the same manner that the word “Coke” is used to mean “soft drink.” To avoid U.S. income taxes, Hillbloom moved from the San Francisco Bay area to Saipan, a tropical tax haven a thousand miles off the southeast coast of Japan. He became a Micronesian kingpin, launching dozens of businesses and financing land development projects in the Philippines, Hawaii, and Vietnam. He owned European castles and hotels, a Chinese jet, an airline called Continental Micronesia and, in addition to his mansion in Saipan, maintained residences in Manila, Hawaii, and Half Moon Bay. His hobbies included high-end stereo equipment, boats, airplanes, fancy cars, and, reportedly, illicit relationships with young Asian girls. On May 21, 1995, Hillbloom and two business associates took off for Saipan in Hillbloom’s twin-engine seaplane from nearby Pagan Island for a short business trip. Bad weather turned the travelers back and, soon thereafter, dispatchers lost track of the plane. The next morning a search party located parts of the plane and the sodden bodies of Hill bloom’s companions. Hill bloom’s body was never found. Larry Hillbloom never married and had no legitimate children. Unfortunately for the Hillbloom estate, his will did not contain a clause disinheriting any illegitimate children. Under the prevailing laws, he could have written his children out of the will, but since he didn’t, anyone who could prove to be his child would be entitled to an inheritance. Shortly after Hillbloom’s death, one such child, Larry Junior (age 12), filed suit claiming a share of the estate. (Months after Hillbloom’s death, several young women emerged from Vietnam, the Philippines, and the Islands of Micronesia claiming that Hillbloom had taken up with them briefly and left them with children. See http://dna-view.com/sfstory.htm for additional sordid details.) Several possible impediments stood in the way of Larry Junior’s claim to the Hillbloom estate. First, Larry Junior and his attorneys must await the outcome of a proposed law (known as the Hillbloom Law) written under serious financial pressure from attorneys for the Hillbloom estate. If passed by the legislature and signed by the governor, the proposed law would retroactively invalidate the claims of illegitimate heirs not specifically mentioned in a will. Larry Junior’s advisers estimate a 0.60 probability of the proposed law passing. If the law passes, Larry Junior’s attorneys plan to challenge its constitutionality and assign a 0.7 probability to this challenge being successful. If the Hillbloom Law does not pass (or passes and is later deemed unconstitutional), Larry Junior will still have to present evidence that he is the son of the deceased Larry Hillbloom. Such claims of paternity are routinely proven or disproven using DNA matching. However, Hillbloom disappeared without leaving a physical trace. (Twelve gallons of muriatic acid were delivered to Hillbloom’s house shortly after his death, and by the time Larry Junior’s attorney’s got there, the house was antiseptically clean.) However, during facial reconstruction surgery following another plane crash that Larry Hillbloom had been in and survived, a mole was removed from his face. That mole could be used for DNA testing if Larry Junior’s attorneys can gain access to it. But the mole is in possession of a medical center that is the primary beneficiary of the estate under the contested will. Without DNA evidence, the case cannot go forward. Larry Junior’s attorney’s estimate a 0.8 probability of being able to obtain appropriate DNA evidence in one way or another. If they are able to obtain a DNA sample, the attorneys estimate a 0.7 probability of it proving a biological relation between Larry Junior and the decedent. If DNA proof of Larry Junior’s claimed parentage is established, his attorneys believe the Hillbloom estate will offer a settlement of approximately $40 million to avoid going to court. If this settlement offer is rejected, Larry Junior’s legal team faces an uncertain outcome in court. His attorney’s believe there is a 0.20 chance that their claim could be dismissed by the court (in which case Larry Junior would receive $0). However, even if they are successful in court, the amount of the award to Larry Junior would depend on how many other illegitimate children make successful claims against the estate. Larry Junior’s advisors estimate a 0.04 probability that he would win $338 million, a 0.16 probability that he would receive $68 million, a 0.40 probability that he would receive $34 million, and a 0.20 probability that he would receive $17 million. While vehemently denying that Larry Junior was Mr. Hillbloom’s son, in early 1996 (and prior to the outcome of the Hillbloom Law) the trustees of the Hillbloom estate offered Larry Junior a settlement worth approximately $12 million if he would relinquish all his claims to the Hillbloom estate. So Larry Junior and his attorneys face a difficult decision. Do they accept the estate’s settlement offer or hope the Hillbloom Law doesn’t pass and that DNA evidence will establish Larry Junior’s rightful claim to the Hillbloom estate?
a. Create a decision tree for this problem.
b. What decision should Larry Junior make according to the EMV criterion?
c. What is the minimum settlement offer Larry Junior should accept according to the EMV criterion?
d. What would you do if you were Larry Junior?
e. If you were advising Larry Junior, what other issues might you want to consider in making this decision?


> So how am I going to spend this money,” thought Martha Lentz as he sat staring at the pictures and posters of manatees around his office. An avid environmentalist, Martha is the president of “Friends of the Manatees&ac

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> A natural gas trading company wants to develop an optimal trading plan for the next 10 days. The following table summarizes the estimated prices (per thousand cubic feet [cf]) at which the company can buy and sell natural gas during this time. The compan

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> Use Solver to create a Sensitivity Report for question 13 at the end of Chapter 3 and answer the following questions: a. If the company could get 50 more units of routing capacity, should they do it? If so, how much should they be willing to pay for it?

> Home Sweet Home Appliances manufactures specialty kitchen appliances at its factory in Hoover, Alabama. Presently, the company is preparing to deliver custom refrigerators and dishwashers to distributors in a number of different cities. It has 20 refrige

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> Acme Manufacturing makes a variety of household appliances at a single manufacturing facility. The expected demand for one of these appliances during the next four months is shown in the following table along with the expected production costs and the ex

> A winery has the following capacity to produce an exclusive dinner wine at either of its two ineyards at the indicated costs: Four Italian restaurants around the country are interested in purchasing this wine. Because The wine is exclusive, they all wa

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> Refer to question 17 at the end of Chapter 2. Implement a spreadsheet model for this problem and solve it using Solver. Data from question 17 chapter 2: The Electro tech Corporation manufactures two industrial-sized electrical devices: generators and

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> Refer to question 13 at the end of Chapter 2. Implement a spreadsheet model for this problem and solve it using Solver Data from question 13 chapter 2: Bobbins Manufacturing produces softball and baseballs for youth recreation leagues. Each softball c

> A variable that assumes an optimal value between its lower and upper bounds has a reduced cost value of zero. Why must this be true? (Hint: What if such a variable’s reduced cost value is not zero? What does this imply about the value of the objective fu

> Ho wie Jones used the following information to calculate the profit coefficients for AquaSpasand Hydro- Luxes: pumps cost $225 each, labor costs $12 per hour, tubing costs $2 per foot. In addition to pumps, labor, and tubing, the production of Aqua-Spas

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> A paper recycling company converts newspaper, mixed paper, white office paper, and cardboard into pulp for newsprint, packaging paper, and print stock quality paper. The following table summarizes the yield for each kind of pulp recovered from each ton o

> The Sentry Lock Corporation manufactures a popular commercial security lock at plants in Macon, Louisville, Detroit, and Phoenix. The per unit cost of production at each plant is $35.50, $37.50, $39.00, and $36.25, respectively, while the annual producti

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> A company is trying to determine how to allocate its $145,000 advertising budget for a new product. The company is considering newspaper ads and television commercials as its primary means for advertising. The following table summarizes the costs of adve

> The Molokai Nut Company (MNC) makes four different products from macadamia nuts grown in the Hawaiian Islands: chocolate-coated whole nuts (Whole), chocolate-coated nut clusters (Cluster), chocolate-coated nut crunch bars (Crunch), and plain roasted nuts

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> A trust officer at the Blacksburg National Bank needs to determine how to invest $100,000 in the following collection of bonds to maximize the annual return. The officer wants to invest at least 50% of the money in short-term issues and no more than 50

> Valu-Com Electronics manufactures five different models of telecommunications interface Cards for PCs and laptops. As summarized in the following table, each of these devices requires differing amounts of printed circuit board, resistors, memory chips, a

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> Use Solver to create Answer and Sensitivity Reports for question 26 at the end of Chapter 2 and answer the following questions: a. If the profit on doors increased to $700 would the optimal solution change? b. If the profit on windows decreased to $200 w

> The Rent-A-Dent car rental company allows its customers to pick up a rental car at one location and return it to any of its locations. Currently, two locations (1 and 2) have 16 and 18 surplus cars, respectively, and four locations (3, 4, 5, and 6) each

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> Game Day Fashions makes custom t-shirts for fans of college university sports teams. Currently, the company is trying to determine the best way to fill an order it received from Sable University. The official colors of Sable University are orange and ma

> This chapter introduces the quote “All models are wrong, but some are useful.” from George Box. Describe a real-world situation where a model was wrong but useful.

> Refer to question 27 at the end of Chapter 2. Implement a spreadsheet model for this problem and solve it using Solver. Data from question 27 chapter 2: PC-Express is a computer retail store that sells desktops and laptops. The company earns $600 on e

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> Consider the following set of activities: a. Draw the CPM network for this problem. b. Identify each path through the network and its expected length. c. What is the critical path?

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> Consider the CPM network for the following set of activities: Is it necessary to draw an arc from the node for activity A to the node for activity C? Why or why not?

> In illustrating how to simulate an activity network, we used a triangular distribution based on three time estimates to generate random activity times. What problem might be encountered if we assume that activity times were normally distributed? (Hint: C

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> Refer to the previous problem. Suppose that the maximum time listed for each activity is actually its normal completion time. Further assume that the maximum number of crash days per activity and cost per crash day are as follows: a. Create and solve an

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> Refer to the previous question. Create a spreadsheet model to simulate the completion times for the auditing project. Assume that activity times follow a triangular distribution and perform 500 replications on the model. a. Estimate the probability of ea

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> Refer to the previous question. Suppose that each of the audit activities can be crashed by the amounts indicated in the following table. a. What is the earliest the audit could be completed and what is the incremental cost associated with this schedule

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> Morley Properties is planning to build a condominium development on St. Simons Island, Georgia. The company is trying to decide between building a small, medium, or large development. The payoffs received for each size of development will depend on the m

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2.99

See Answer