Consider the following decision tree. The objective is to choose the best decision among the two available decisions A and B. Find the expected value of the best decision. Do not include the dollar "$" sign with your answer. $3,000 .40
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- Play Things is developing a new Lady Gaga doll. The company has made the following assumptions: The doll will sell for a random number of years from 1 to 10. Each of these 10 possibilities is equally likely. At the beginning of year 1, the potential market for the doll is two million. The potential market grows by an average of 4% per year. The company is 95% sure that the growth in the potential market during any year will be between 2.5% and 5.5%. It uses a normal distribution to model this. The company believes its share of the potential market during year 1 will be at worst 30%, most likely 50%, and at best 60%. It uses a triangular distribution to model this. The variable cost of producing a doll during year 1 has a triangular distribution with parameters 15, 17, and 20. The current selling price is 45. Each year, the variable cost of producing the doll will increase by an amount that is triangularly distributed with parameters 2.5%, 3%, and 3.5%. You can assume that once this change is generated, it will be the same for each year. You can also assume that the company will change its selling price by the same percentage each year. The fixed cost of developing the doll (which is incurred right away, at time 0) has a triangular distribution with parameters 5 million, 7.5 million, and 12 million. Right now there is one competitor in the market. During each year that begins with four or fewer competitors, there is a 25% chance that a new competitor will enter the market. Year t sales (for t 1) are determined as follows. Suppose that at the end of year t 1, n competitors are present (including Play Things). Then during year t, a fraction 0.9 0.1n of the company's loyal customers (last year's purchasers) will buy a doll from Play Things this year, and a fraction 0.2 0.04n of customers currently in the market ho did not purchase a doll last year will purchase a doll from Play Things this year. Adding these two provides the mean sales for this year. Then the actual sales this year is normally distributed with this mean and standard deviation equal to 7.5% of the mean. a. Use @RISK to estimate the expected NPV of this project. b. Use the percentiles in @ RISKs output to find an interval such that you are 95% certain that the companys actual NPV will be within this interval.The model in Example 9.3 has only two market outcomes, good and bad, and two corresponding predictions, good and bad. Modify the decision tree by allowing three outcomes and three predictions: good, fair, and bad. You can change the inputs to the model (monetary values and probabilities) in any reasonable way you like. Then you will also have to modify the Bayes rule calculations. You can decide whether it is easier to modify the existing tree or start from scratch with a new tree.Question 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…
- 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 fromA decision tree is a graphic display of the decision process that indicates decision alternatives, states of nature and their respective probabilities, and payoffs for each combination of alternative and states of nature. O True O False * Previous Next ► MacBook Air 000 000 DD F7 セゴ F5 $ & レ 9 * 00What is the best decision alternative under Maximax criterion? (Provide complete decision table solution) DIHL Co. is a Danao-based logistics company owned by Engr. Donald H. Lalican. Anticipating the growing demand for delivery services, he developed a strategic plan for the year 2022. The options are to hire additional delivery crews in their Mandaue facility, construct a new facility in Talisay City, or subcontract Ohlala Move, a small- time company. A study conducted by the marketing department forecasted the following payoff values, which are summarized in the table below. The values are expressed as gains and alpha = 0.6. States of Nature Decision Alternatives Failure Low Moderate High Hire additional Drivers in Mandaue -450,000 -250,000 250,000 500,000 Construct a facility in Talisay -800,000 -400,000 300,000 700,000 Subcontracting Ohlala Move -100,000 -10,000 150,000 300,000 Hire Additional Drivers in Mandaue Construct a Facility in Talisay O Subcontracting Ohlala Move Both…
- A 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.Refer to the payoff table below of profits in ($000). Which decision alternative results from using the Conservative (Pessimestic) Decision Rule? PAYOFF TABLE High Demand Small Medium Large 35 300 550 -10 Moderate Demand 35 150 75 -10 Low Demand Do Nothing O A. Large O B. Do nothing OC. Medium O D. Small O E. Cannot be determined since relative frequencies are missing. 35 50 -45 -10I want to answer to solve ㅠㅠㅠㅠ. Q1. A builder has located a piece of property that she would like to but and eventually build on. The land is currently zoned for four homes per acre, but she is planning to request new zoning. What she builds depends on approval of zoning requests and your analysis of this problem to advise her. With her input and your help, the decision process has been reduced to the following costs, alternatives, and probabilities Cost of land $2 MillionProbability of rezoning .6If the land is rezoned, there will be additional costs for new roads, lighting, and so on of $1 million. If the land is rezoned, the contractor must decide whether to build a shopping center or 1,500 apartments that the tentative plan shows would be possible. If she builds a shopping center, there is a 70% chance that she can sell the shopping center to a large department store chin for $4 million over her construction cost, which excludes the land; and there is a 30% chance that she can…
- The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in thousands of dollars): Decision State of Nature Alternative Low Demand (S1) Medium Demand (S2) High Demand )S3) Manufacture, d(1) -20 40 100 Purchase, d(2) 10 45 70 The state-of-nature probabilities are P s1= 0.35, P s2= 0.35, and P s3= 0.30 Use expected value to recommend a decision.Come up with a decision using each of the different criteria under conditions of uncertainty using the table below. The payoff values are expressed as LOSSES and alpha = 0.5 *a.)Which realism approach decision alternative has the maximum payoff? b.)What is the best equally likely decision to take? pcik from the choices -A at 45.5 -C at 61 -E at 53 -F at -54Below pay-off was generated for your investment options. From this pay-off table determine the best decision using decision making under uncertainty: a.Maximax b.Maximin c.Minimax