Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 9, Problem 68P
Summary Introduction
To discuss: The reasoning for the situation.
Decision making under uncertainty:
The decision-making process will have the possibility of having more than one possible consequence of action for a decision that is being made.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
If you want to invest in a project that cost $3.5 million. As we are unsure about the future demand, there is a 40% probability of high demand with a present value for the project $3 million. There is a 25% probability of moderate demand with a present value of $2.5 million. In addition, there is a 35% probability of low demand with a present value is $1.5 million.
Draw a decision tree for this problem. What is the expected net present value of the business? Should you invest? Explain.
Assume that you can expand the project by investing another $0.6 million after you learn the true future demand state. This would make the present value of the business $3.9 million in the high‐demand state, $3.5 million in the moderate demand state, and $1.80 million in the low demand state. Draw a decision tree to reflect the option to expand. Evaluate the alternatives. What is the net present value of the business if you consider the option to expand? How valuable is the option to expand?
A NY Times best-selling author wants to write a new book as either volume II of her earlier successful book or an autobiography. She believes that by writing the volume II, given her previous success, she will have a 50% chance of placing it with a major publisher where it should ultimately sell about 40,000 copies. However, the worst-case scenario, if she can’t get a major publisher to take it, then she thinks there is 80% chance of placing it with a smaller publisher, with sales of 30,000 copies. On the other hand, if she writes an autobiography, considering the potential interest in her journey as successful writer, she thinks there will be 40% chance of placing it with a major publisher, and it should result in ultimate sales of about 50,000 copies. If she can’t get a major publisher to take it, the worst-case scenario, she thinks there is a 50% chance of placing it with a smaller publisher, with ultimate sales of 35,000 copies.
Construct a decision tree to help this author…
Using the following table, perform ALL FIVE of the techniques for Decision Making under Uncertainty: Maximax, Maximin, Hurwicz Realism (α = 0.7), LaPlace and Minimax Regret. Use the .50 for the probability of a Good Economy and .50 for the probability of a Poor Economy. You must show your work for obtaining the points.
STATE OF NATURE
DECISION ALTERNATIVE
GOOD ECONOMY
POOR ECONOMY
Sotck market
80,000
-20,000
Bonds
30,000
20,000
CDs
23,000
23,000
Chapter 9 Solutions
Practical Management Science
Ch. 9.2 - Prob. 1PCh. 9.2 - Prob. 2PCh. 9.2 - Prob. 3PCh. 9.3 - Prob. 4PCh. 9.3 - Prob. 5PCh. 9.3 - Prob. 6PCh. 9.3 - Prob. 7PCh. 9.4 - Explain in some detail how the PrecisionTree...Ch. 9.4 - Prob. 9PCh. 9.4 - Prob. 10P
Ch. 9.5 - Prob. 11PCh. 9.5 - Prob. 12PCh. 9.5 - Prob. 13PCh. 9.5 - Prob. 17PCh. 9.5 - Prob. 18PCh. 9.5 - Prob. 19PCh. 9.5 - Prob. 21PCh. 9.5 - The model in Example 9.3 has only two market...Ch. 9.6 - Prob. 26PCh. 9.6 - Prob. 27PCh. 9.6 - Prob. 28PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 34PCh. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - Prob. 46PCh. 9 - Prob. 48PCh. 9 - Prob. 53PCh. 9 - Prob. 67PCh. 9 - Prob. 68PCh. 9 - Prob. 69PCh. 9 - Prob. 70PCh. 9 - Prob. 71PCh. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Prob. 74PCh. 9 - Prob. 75PCh. 9 - Prob. 76PCh. 9 - Prob. 77P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- A martingale betting strategy works as follows. You begin with a certain amount of money and repeatedly play a game in which you have a 40% chance of winning any bet. In the first game, you bet 1. From then on, every time you win a bet, you bet 1 the next time. Each time you lose, you double your previous bet. Currently you have 63. Assuming you have unlimited credit, so that you can bet more money than you have, use simulation to estimate the profit or loss you will have after playing the game 50 times.arrow_forwardYou now have 10,000, all of which is invested in a sports team. Each year there is a 60% chance that the value of the team will increase by 60% and a 40% chance that the value of the team will decrease by 60%. Estimate the mean and median value of your investment after 50 years. Explain the large difference between the estimated mean and median.arrow_forwardBased on Marcus (1990). The Balboa mutual fund has beaten the Standard and Poors 500 during 11 of the last 13 years. People use this as an argument that you can beat the market. Here is another way to look at it that shows that Balboas beating the market 11 out of 13 times is not unusual. Consider 50 mutual funds, each of which has a 50% chance of beating the market during a given year. Use simulation to estimate the probability that over a 13-year period the best of the 50 mutual funds will beat the market for at least 11 out of 13 years. This probability turns out to exceed 40%, which means that the best mutual fund beating the market 11 out of 13 years is not an unusual occurrence after all.arrow_forward
- You have 5 and your opponent has 10. You flip a fair coin and if heads comes up, your opponent pays you 1. If tails comes up, you pay your opponent 1. The game is finished when one player has all the money or after 100 tosses, whichever comes first. Use simulation to estimate the probability that you end up with all the money and the probability that neither of you goes broke in 100 tosses.arrow_forwardUsing the following table, perform ALL FIVE of the techniques for Decision Making under Uncertainty: Maximax, Maximin, Hurwicz Realism (α = 0.7), LaPlace and Minimax Regret. Use the .50 for the probability of a Good Economy and .50 for the probability of a Poor Economy. You must show your work. STATE OF NATURE DECISION ALTERNATIVE GOOD ECONOMY POOR ECONOMY Sotck market 80,000 -20,000 Bonds 30,000 20,000 CDs 23,000 23,000arrow_forwardYou are considering three investment alternatives for some spare cash: Old Reliable Corporation stock (A1), Fly-By-Nite Air Cargo Company stock (A2), and a federally insured savings certificate (A3). You expect the economy will either "boom" (N1) or “bust” (N2), and you estimate that a boom is more likely (p1 = 0.6) than a bust (p2 = 0.4). Outcomes for the three alternatives are expected to be (1) $2000 in boom or $500 in bust for ORC; (2) $6000 in boom but $-5000 (loss) in bust for FBN: and (3) $1200 for the certificate in either case. Set up a payoff table (decision matrix) for this problem and show which of it Alternative maximizes expected value.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,