Using the following table, perform ALL FIVE of the techniques for Decision Making under Uncertainty: Maximax, Maximin, Hurwicz Realism (α = 0.4), LaPlace and Minimax Regret. Show the work on excel file.
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3. Using the following table, perform ALL FIVE of the techniques for Decision Making under Uncertainty: Maximax, Maximin, Hurwicz Realism (α = 0.4), LaPlace and Minimax Regret. Show the work on excel file.
|
SIZE OF FIRST STATION |
GOOD MARKET |
FAIR MARKET |
POOR MARKET |
|
($) |
($) |
($) |
|
|
Small |
50,000 |
20,000 |
-10,000 |
|
Medium |
80,000 |
30,000 |
-20,000 |
|
Large |
100,000 |
30,000 |
-40,000 |
|
Very large |
300,000 |
25,000 |
-160,000 |
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- The model in Example 9.3 has only two market outcomes, good and bad, and two corresponding predictions, good and bad. Modify the decision tree by allowing three outcomes and three predictions: good, fair, and bad. You can change the inputs to the model (monetary values and probabilities) in any reasonable way you like. Then you will also have to modify the Bayes rule calculations. You can decide whether it is easier to modify the existing tree or start from scratch with a new tree.2. Using the following table, perform ALL FIVE of the techniques for decision-making under Uncertainty: Maximax, Maximin, Hurwicz Realism (α = 0.7), LaPlace, and Minimax Regret. Show the work on an Excel File. PROFIT ($) STRONG MARKET FAIR MARKET POOR MARKET Large facility 550,000 110,000 -310,000 Medium-sized facility 300,000 129,000 -100,000 Small facility 200,000 100,000 -32,000 No facility 0 0 02. 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. You must show your work for obtaining the points. PROFIT ($) STRONG MARKET FAIR MARKET POOR MARKET Large facility 550,000 110,000 -310,000 Medium-sized facility 300,00 129,000 -100,000 Small facility 200,000 100,000 -32,000 No facility 0 0 0
- Use the table below to answer the questions that follow and caculate the Expected Monetary Value(EMV) of the different outcomesDECISION TABLE WITH CONDITIONAL VALUESSTATE OF NATUREFAVORABLE OUTCOME UNFAVORABLE OUTCOMEALTERNATIVES ($) ($)Start a big Company 2,000,000 -500,000Start a small company 800,000 -200,000Build Nothing 0 0Probabilities 0.3 0.7Calculate the following The EMV Maximin criterion Maximax criterion Minimax criterionAn investor is considering investing in stocks, real estate, or bonds economic conditions. Suppose that the probabilities for good, stable and poor conditions are 0.2, 0.4 and … (figure it out), respectively. Table 1 shows the payoff returns for the investor’s decision situation. Table 1: Investment returns Economic Conditions Investment Good Stable Poor Stocks R5 000 R7 000 R3 000 Real estate -R2 000 R10 000 R6 000 Bonds R4 000 R4 000 R4 000 Assuming the probabilities of the occurrence of the state of nature are unknown, what will be the best investment alternative; a) If the decision maker is pessimistic about the future state, (3) b) If the decision maker strikes a compromise between the maximin and maximax, assuming the coefficient of pessimism is 0.2. (4) c) If the decision is based on opportunistic loss. (6) d) If we use the equally likelihood criterion1. Suppose you are going on a weekend trip to a city that is d miles away. Develop a model that determines your round-trip gasoline costs. What assumptions or approximations are necessary to treat this model as a deterministic model? Are these assumptions or approximations acceptable to you? 2. Suppose that a manager has a choice between the following two mathematical models of a given situation: (a)a relatively simple model that is a reasonable approximation of the real situation, and (b)a thorough and complex model that is the most accurate mathematical representation of the real situation possible. Why might the model described in part (a) be preferred by the manager?
- We have $1,000 to invest. All the money must be placedin one of three investments: gold, stock, or money marketcertificates. If $1,000 is placed in an investment, the valueof the investment one year from now depends on the stateof the economy (see Table 16). Assume that each state of the economy is equally likely. For each of the followingdecision criteria, determine the optimal decision:a maximinb maximaxc minimax regretd expected value Value of $1,000 State 1 State 2 State 3Money marketcertificate $1,100 $1,100 $1,100Stock $1,000 $1,100 $1,200Gold $1,600 $300 $1,400Using 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 23,000Please show the steps by using the formula for each Salalah Methanol company management is considering three competing investment Projects Option1: Starting a unit in Sohar, Option 2: Starting a unit in Musandam and Option 3: Starting a unit in Muscat. The initialinvestment for all the projects are 11000 and the cost of capital is 4.05% Year Sohar Musandam Muscat 1 1100 2160 3225 2 3100 3260 4250 3 3800 4360 5475 4 4600 5460 6300 5 5100 6900 7000 Use the information below and help the management in choosing the most desirable Project using a. Payback period b. Discounted payback c. Net Present value d. Profitability Index. You have to suggest to the management which project to choose and why
- In the problem on excel : 1.What are the decision variables 2.What is the objective functions 3. What are the constraints and explainA Midsize Pharmaceutical CompanyJennifer Childs is the owner and chief executive officer of a midsize global pharmaceutical company with sales offices or manufacturing plants in eight countries. At an October staff meeting she tells her managers that company profits for the year are expected to be $2,000,000 more than anticipated. She tells them she would like to reinvest this additional profit by funding projects within the company that will either increase sales or reduce costs. She asks her three key managers to get together to develop a prioritized list of potential projects and then to meet with her to “sell” her on their ideas. She mentions that they should not assume the funds will be divided equally among the three of them. She also mentions that she is willing to put all of the funds into just one project if it seems appropriate. Julie Chen, manager of product development, has had a team of scientists working on a new prescription drug. This effort has been taking much longer…A Midsize Pharmaceutical CompanyJennifer Childs is the owner and chief executive officer of a midsize global pharmaceutical company with sales offices or manufacturing plants in eight countries. At an October staff meeting she tells her managers that company profits for the year are expected to be $2,000,000 more than anticipated. She tells them she would like to reinvest this additional profit by funding projects within the company that will either increase sales or reduce costs. She asks her three key managers to get together to develop a prioritized list of potential projects and then to meet with her to “sell” her on their ideas. She mentions that they should not assume the funds will be divided equally among the three of them. She also mentions that she is willing to put all of the funds into just one project if it seems appropriate. Julie Chen, manager of product development, has had a team of scientists working on a new prescription drug. This effort has been taking much longer…