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 72P
Summary Introduction
To explain: The meaning of the two numbers and certainty equivalent of the safer decision.
Decision making under uncertainty:
The decision-making process is made with uncertainty as to the managers who make these decisions must deal with the risk and uncertainty present in each outcome.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents 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?
Your company must decide whether to introduce a new product. The sales of the product will be either at a high (success) or low (failure) level. The conditional value for this decision is as follows
Decision
High
Low
Introduce
$4,000,000
-$2,000,000
Do Not Introduce
0
0
Probability
0.3
0.7
You have the option to conduct a market survey to sharpen you market demand estimate. The survey costs $200,000. The survey provides incomplete information about the sales, with three possible outcomes: (1) predicts high sales, (2) predicts low sales, or (3) inconclusive. Such surveys have in the past provided these results
Result
High
Low
Predicts High
0.4
0.1
Inconclusive
0.4
0.5
Predicts Low
0.2
0.4
c) Draw the complete decision tree, including the survey option.
Explain where the values on the decision tree come from
Identify each of the following examples as a programmed or nonprogrammed decision.
Example
Determining when to pay taxes
Determining whether or not to ground an entire fleet of airplanes after one similar airplane has
had an accident
Identify the order in which the following steps are taken in the decision-making process.
Step
Monitoring the outcomes of a decision to see if it meets its objective
Gathering information relevant to the problem
Recognizing the problem
Selecting the alternative that best meets the decision objective
Listing and evaluating alternative courses of action
Implementing the decision
Identifying the objective of the decision
Order
7
2 ▼
1 ▼
5 ▼
4 ▼
6
3 ▼
Programmed
Decision
Nonprogrammed
Decision
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
- Can you do the decision tree?arrow_forwardWhich of the following gambles has the largest objective risk? 20% chance of winning $100 and 80% chance of losing $100 50% chance of winning $10,000 and 50% chance of losing $10,000 50% chance of winning nothing and 50% chance of losing $100 50% chance of winning $100 and 50% chance of winning nothingarrow_forwardHow would I calculate the expected values for probabilities that aren't a single value such as 1-4% and >4%?arrow_forward
- You are planning to rent a car for a one-week vacation. You have the option of buying an insurance that costs $80 dollars for a week. If you do not purchase insurance, you would be personally liable for any damages. You anticipate that a minor collision will cost $2,000, whereas a major accident might cost $16,000 in repairs. Develop a payoff table for this situation. What decision should you make using each strategy? Aggressive (Optimistic) Conservative (Pessimistic) Opportunity Loss You have recently read in a magazine that that the probability of a major accident is 0.05% and that the probability of a minor collision is 0.18%. Construct a decision tree and identify the best expected value decision.arrow_forwardQuestion 2 An oil company must decide whether or not to drill an oil well in a particular area that they already own. The decision maker (DM) believes that the area could be dry, reasonably good or a bonanza. See data in the table which shows the gross revenues for the oil well that is found. Decision Drill $0 Abandon $0 Probability 0.3 Dry (D) Seismic Results No structure(N) Open(0) Closed (C) Reasonably good(G) $85 $0 0.3 Drilling costs 40M. The company can take a series of seismic soundings at a cost of 12M) to determine the underlying geological structure. The results will be either "no structure", "open structure or "closed structure". The reliability of the testing company is as follows that is, this reflects their historical performance. Bonanza(B) Note that if the test result is "no structure" the company can sell the land to a developer for 50 m. otherwise (for the other results) it can abandon the drilling idea at no benefit to itself. $200 m $0 0.4 Dry(d) 0.7 0.2 0.1…arrow_forwardA and B pleasearrow_forward
- 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_forwardA company looking for venture capitalist funding is deciding on the design of its operating system (OS) for its new phone. The first option is to simply buy the OS from another company. This would result in sales of either 10,000 units if the market is not crowded with similar phones or sales of only 3,000 units if the market is crowded. If the company decides to design its own OS the phone would have sales of 70,000 units if the OS was popular but sales of only 2,000 if the OS was a failure. Suppose that to recoup the cost of designing their own OS the company would need to sell twice as many phones as when they simply buy the OS for the profit from the scenarios to be equal. Which option should the company choose if the probability that the market is/ is not crowded is 50% and the probability that the OS is popular is 75%?arrow_forwardSelect the least accurate statement. A) The expected monetary value (EMV) criterion represents the long-run average of uncertain outcomes, so it should only be used for recurring decisions. b) For each possible decision and each possible outcome, the payoff table lists the associated monetary value. c)The certainty equivalent is the certain dollar amount a risk-averse decision maker would accept in order to avoid a gamble altogether. D) For a risk-averse decision maker, the certainty equivalent is less than the expected monetary value (EMV).arrow_forward
- Using Excel Spreadsheet and formulas for this problem (make sure cell references are unique to your table). Provide all techniques practiced previously: five (5) techniques for Decisions Making under Uncertainty, EMV, EOL, and EVPI. Use α = 0.7 for the Hurwicz. Use the .50 for the probability of a Good Economy and .50 for the probability of a Poor Economy. Show the work on an Excel file. 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_forwardA situation in which a decision maker must choose between strategies that have more than one possible outcome when the probability of each outcome is unknown is referred to as: O certainty diversification risk O uncertainty MacBook Air 000 000 DD F7 F5 6日 5. 8.arrow_forwardRisk assessments will help to priorities risks and provide information on the probability of harm arising and severity of harm by understanding the hazard, combine assessments of probability and severity to produce an assessment of risk and it is used in the assessment of risk as an aid to decision making. Construction sites are dangerous places where injury or death or illness can cause to workers. Select one typical hazard at a construction site and conduct a full risk assessment for that hazard. You are allowed to make assumptions to answer this question.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
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,