Suppose you want to mine for gold. Your decisions are to build a mine or not, and to hire ageologist or not. If you find gold, you will earn R2 million in profit; if you fail to find gold,you will lose R0.5 million. On the geologist's website, he states he predicts success 50% of thetime and failure 50% of the time; when he predicts success, then you are 80% likely to actuallysucceed; when he predicts failure, then you are 90% likely to actually fail. The geologist costsR0.1 million. You estimate without a geologist you have a 45% chance of success. Use a decisiontree to maximize your expected value.

Answered: Suppose you want to mine for gold. Your…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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At the beginning of each day, a patient in the hospital is classifed into one of the three conditions: good, fair or critical. At the beginning of the next day, the patient will either still be in the hospital and be in good, fair or critical condition or will be discharged in one of three conditions: improved, unimproved, or dead. The transistion probabilities for this situation are Good Fair Critical Good 0.65 0.20 0.05 Fair 0.50 0.30 0.12 Critical 0.51 0.25 0.20 Improved Unimproved Dead Good 0.06 0.03 0.01 Fair 0.03 0.02 0.03 Critical 0.01 0.01 0.02 For example a patient who begins the day in fair condition has a 12% chance of being in critical condition the next day and a 3%…
When a choice is communicated in terms of potential losses, most people choose the option with less risk. -True -False
About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season? 1. 1 in 8 2. 1 in 12 3. 1 in 18 4. 1 in 80
A farmer must decide whether to take protective action to limit damage to his grapefruit crop in the event that the overnight temperature falls to a level well below freezing. If the temperature drops too low he runs the risk of losing his entire crop, valued at $75,000. Based on the National Weather Service, the probability of such a temperature drop is 60%. He can insulate his crop by spraying water on all the trees, which will cost $20,000. This action might succeed in protecting the crop, with the following possible outcomes: Probability Damage 0.30 $0 0.15 $5,000 0.10 $10,000 0.15 $15,000 0.30 $20,000 Construct a decision tree to help the farmer make his decision. What should he do? Explain your answer. Find the highest cost of insulating the grapefruits for which the farmer prefers to insulate his crop. Suppose the farmer is uncertain about the reliability of the National Weather Service forecast. If he thinks the probability of…
like this fill the boxes
2 true or false If the decision doesn’t involve risk and uncertainty, utility is the numerical score to measure the attractiveness of a course of action.
A company is considering whether to develop and market a particular product. There is 40% probability that the research and development department will come up with a viable product, and a 60% probability that the product will be scrapped. The cost of undertaking the research and development is 200 000. If the product development is successful, the company will build a plant. The product demand is unknown, and the company has the choice of building a large or small plant. The expected demand and the net present value is shown below: High Demand Low Demand ACTION Probability 75% Probability 25% Large Plant N$1 600 000 N$400 000 Small Plant N$1 000 000 N$1 000 000 Required: Advise the company on the most beneficial course of action using a decision tree.
Howard Weiss, Inc., is considering building a sensitive new radiation scanning device. His managers believe that there is a probability of 0.40 that the ATR Co. will come out with a competitive product. If Weiss adds an assembly line for the product and ATR Co. does not follow with a competitive product, Weiss's expected profit is $40,000; if Weiss adds an assembly line and ATR follows suit, Weiss still expects $20,000 profit. If Weiss adds a new plant addition and ATR does not produce a competitive product, Weiss expects a profit of $600,000; if ATR does compete for this market, Weiss expects a loss of $100,000. a) Expected value for the Add Assembly Line option = $ (enter your answer as a whole number).
You are a risk manager of a school bus company in Hong Kong, your boss owns over 1,000 school buses. During COVID 19, almost all the school buses parked in no covered car park every day because students no need to be back to school. Your boss is considering a partial retention program for physical losses to the school buses. a) Identify the factors that your company should consider before it adopts a retention program for physical damage losses to school buses. b) If a retention program is adopted, what are the various methods you can use to pay for physical damage losses to school buses? c) Identify two risk-control measures that could be used in your company’s retention program for physical damage losses
An expensive piece of equipment is used in the masking operation for semiconductor manufacture.A capacitor in the equipment fails randomly. The capacitor costs $7.50, but if it burns out while the machine is in use, the production process must be halted. Here the replacement cost is estimated to be $150. Based on past experience, the lifetime distribution of the capacitor is estimated to be Number of Months Probability of of Service Failure 1 .08 2 .12 3 .16 4 .26 5 .22 6…
1. You have been äsked to estimate the probability of default of a manufacturing company, which has corporate bonds publicly traded. Please list two approaches you can potentially consider.
Bob, an executive engineer at a company, always second-guesses himself and has low self-confidence. When he is assigned a project that is completely new to him, his peers repeatedly tell him that he will not be able to execute the project because of lack of confidence and that the project is bound to fail. Bob starts believing his peers and puts less effort into the project. As a result, the project fails. This scenario illustrates:

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