DECISION THEORY. A man has to decide wheter to resign or not from his present position and apply for a job offering him 2x his present salary, that is if he passes the qualifying test. At present, he receives $3000 monthly compensation. The offer from another company has a condition that he will not be allowed to take the qualifying test, he will immediately be taken in and have a monthly pay of $6000. If he fails, he will remain jobless, he feels that his chance of passing the test is 35%. Suppose he decides to base his decision on expected value, should he resign from his post or not?
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DECISION THEORY.
A man has to decide wheter to resign or not from his present position and apply for a job offering him 2x his present salary, that is if he passes the qualifying test. At present, he receives $3000 monthly compensation. The offer from another company has a condition that he will not be allowed to take the qualifying test, he will immediately be taken in and have a monthly pay of $6000. If he fails, he will remain jobless, he feels that his chance of passing the test is 35%. Suppose he decides to base his decision on expected value, should he resign from his post or not?
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- In contract negotiations between a local government agency and its workers, it is estimated that there is a 50% chance that an agreement will be reached on the salaries of the workers. It is estimated that there is a 70% chance that there will be an agreement on the insurance benefits. There is a 20% chance that no agreement will be reached on either issue. Are the agreement on salaries (S) and the agreement on insurance (I) independent events? O not independent because P(S) P(I) # P(S and I) O independent because P(S) P(I) = P(S and I) %3D Oindependent because P(S) P(I) P(S and !)DAAPS A decision maker has prepared the following payoff table. 1 States of Nature Alternative High Low Buy 80 10 Rent 60 45 Lease 50 40 Using the Maximin criterion, what is the best decision and the expected payoff? Best decision PayoffA decision maker has prepared the following payoff table. States of Nature Alternative High Low Buy 85 -10 Rent 70 45 Lease 45 40 Using the Maximin criterion, what is the best decision and the expected payoff? Best decision Payoff
- 4. "Family Man," a construction company, is considering whether to bid on a contract for a new housing complex. The cost of preparing a bid USD 200,000. “Family Man" has a 0.8 probability of winning the contract, if it submits the bid. If "Family Man" wins the bid, it has to pay USD 2000,000 to be a project partner of the project. As per the usual practice, "Family Man" will then consider consulting a market research firm "Marquess" to conduct a market survey to forecast the demand of housing complex before beginning the construction. "Marquess" charges a fee of USD 150,000. Now, the demand scenario can be either "High demand" or "Low demand." "Family Man" gets a revenue of USD 5000,000 and USD 3000,000 in case of "High demand" and "Low demand" scenario, respectively. On the other hand, instead of construction, "Family Man" has a provision of selling its project rights to another project partner construction company at the price USD 3500,000. As per the historical data, "Marquess"…Topic: ProbabilityGoal: In your business planning, you will employ mathematics probability to increase your chances of success.You play the role of a tiny business owner who wants to expand into a much larger enterprise. You must write a written report and deliver it to the group on the most likely outcome(s) of the business you wish to start.The target audience is a group of small company owners who could be interested in partnering with you. Product: A written report on the business's likely results that will be given to the group. Success Criteria: The written report that will be provided must be... - Represents genuine business problems or patterns. - Persuasive, based on probability mathematics.32 true or false A rational decision will never fail to provide the best and most successful solution to a problem.
- Supposed that a decision-maker faced with four decision alternatives and four states of nature develops the following profit payoff table.1. If the decision-maker knows nothing about the probabilities of the four states of nature, what is the recommended decision using the MAXIMAX criterion?2. What decision alternative will he choose if using the MAXIMIN criterion?3. What about MINIMAX REGRET CRITERION?4. What decision would he make if using the criterion of realism at alpha 0.6 is used?MNGT 21 – Management Science Decision Tree 1. A manager has to decide whether to prepare a bid or not. It costs P5,000 to prepare the bid. If the bid is submitted, the probability that the contract will be awarded is 50%. If the company is awarded the contract, it may earn an income of P100,000 if it succeeds, or pay a fine of P8,000 if it fails. The probability of success is estimated to be 80%. Should the manager prepare a bid? Mr. del Mundo, the president of RFC Corporation is faced with deciding whether to purchase a patent to develop a new product or not. If the company purchases the patent, it should develop the product. The selling price of the patent if P50,000. There are two ways of developing the product: the Modern Method and the Traditional Method. It costs P20,000 to use the Modern Method, and P15,000 for the traditional Method. The proby, of success in the Modern Method is 60%, while it is 70% for the Traditional Method. If the product is successfully developed, it will…Problem 1) The Nitro Fertilizer Company is developing a new fertilizer. If Nitro markets the product and it is successful, then the company will earn a $50,000 profit; if it is unsuccessful, the company will lose $50,000. In that past, similar products have been successful 55% of the time. At a cost of $10,000, the effectiveness of the new fertilizer can be tested. If the test result is favorable, there is an 80% chance that the fertilizer will be successful. If the test result is unfavorable, there is only a 30% chance that the fertilizer will be successful. There is a 60% chance of a favorable test result and a 40% chance of an unfavorable test result. a) Construct a decision tree to determine Nitro's optimal strategy b) Find the EVSI and EVPI Note I need solution of part A only
- Problem 1) The Nitro Fertilizer Company is developing a new fertilizer. If Nitro markets the product and it is successful, then the company will earn a $50,000 profit; if it is unsuccessful, the company will lose $50,000. In that past, similar products have been successful 55% of the time. At a cost of $10,000, the effectiveness of the new fertilizer can be tested. If the test result is favorable, there is an 80% chance that the fertilizer will be successful. If the test result is unfavorable, there is only a 30% chance that the fertilizer will be successful. There is a 60% chance of a favorable test result and a 40% chance of an unfavorable test result. a) Construct a decision tree to determine Nitro's optimal strategy b) Find the EVSI and EVPI I need solution of part (b) only3. The manager for a manufacturing company must recommend whether to construct a large plant, construct a small plant or do nothing. He estimates the long-run profits in $ as follows: State of Nature Alternative Good Average Poor Market($) Market ($) Market ($) Construct a 100,000 35,000 -60,000 large plant Construct a 75,000 25,000 -40,000 small plant Do nothing -5,000 0 0 Probability 25% 50% 25% Solve using: A. Expected Opportunity Loss B. Expected Value of Perfect Informationyou are an owner of a small bakery shop and you have two employees which are the part-time baker who assists the owner in producing products and In-store staff which is required to work for 8 hours a day. Your proposed salary for your part-time baker is 300Php 4-5 hours a day, and for your in-store staff is 416Php 8 hours per day. What is your reasoning or how will you justify this proposed salary for your two employees?