30) Suppose Brandon's indifference curves are 3 defined as U = (³)√√F¸ + (1)√FH S where F's is consumption during sunny weather and FH is consumption during a hurricane. Further suppose Brandon receives 64 units of food when it is sunny and 16 units when there is a hurricane. If the probability of sunshine is II = 0.75, expected food consumption is A) 28. B) 40. C) 52. D) 80.
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- Q1. A farmer believes there is a 50-50 chance that the next growing season will be abnormally rainy. His expected utility function has the form Expected utility = 0.5lnYNR + 0.5lnYR Where and represent the farmers income in the state of ‘normal rain’ and ‘rainy’ respectively. Suppose the farmer must choose between two crops that promise the following income prospects Crop YNR YR Wheat $83,000 $10,000 Maize $83,000 $15000 What mix of wheat and maize would provide maximum expected utility to this farmer?A farmer believes there is an equal chance that the next growing season will be abnormallyrainy. His expected return function has the formExpected return = 0.5lnYNR + 0.5lnYRwhere YNR and YR represent the farmer’s income in the states of “normal rain”and “rainy,” respectively.Suppose the farmer must choose between two crops that promise the following incomeprospects:Crop YNR YRMaize $14,000 $5,000Cotton $9,500 $7,500a) Which of the crops will he plant?b) Suppose the farmer can plant half his field with each crop. Would he choose to do so?Explain your result.c) What mix of Maize and Cotton would provide maximum expected utility to this farmer?d) Would Maize crop insurance, available to farmers who grow only Maize, which costs$2,000 and pays off $4,000 in the event of a rainy growing season, cause this farmer tochange what he plants?5. Shift-in-charge Nazar Al Rushdy: Nazar is pessimistic about the market price. What is your guidance for Nazar? The decision to employ decision trees in crucial situations has been taken by Salem Al Harthi, the plant manager. The table below presents data on demand for a duration of 6 hours along with their respective probabilities. The first row of the table provides the probability of demand for the initial three hours when a leak occurs, denoted in parentheses. Subsequently, the following three rows indicate the probabilities of high, medium, and low demand for the succeeding three hours. To illustrate, if the initial 3-hour market price was low, the probabilities of high demand, medium demand, and low demand in the next three hours are 0.2, 0.3, and 0.5, respectively. Market price High Market price Medium Initial 3-hrs (0.2) Initial 3-hrs (0.5) Market price Low Initial 3-hrs (0.3) High demand (next (0.5) (0.4) (0.2) 3 hrs) Medium demand (0.3) (0.2) (0.3) (next 3 hours) Low demand…
- a. Consider the Oakdale Furniture Company described in the given problem. Under what circumstances might the major portion of the usage of the glue be predictable?b. If the demand were predictable, would you want to use a probability law todescribe it? Under what circumstances might the use of a probability model of demand be justified even if the demand could be predicted exactly?The expected value of a random variable X that is denoted by u is called its: O a. median. O b. mode. O c. mean. d. variance. NEXT edu.om/mod/quiz/attempt.php?attempt3D1894613&cmid=8898568ipage=8#A farmer believes there is a 50–50 chance that the next growing season will be abnormally rainy. His expected utility function has the form expected utility =;In Y NR +;In YR, where YNR and YR represent the farmer's income in the states of “normal rain" and "rainy," respectively. a. Suppose the farmer must choose between two crops that promise the following income prospects: Crop YNR YR Wheat $28,000 $10,000 $15,000 Corn $19,000 Which of the crops will he plant? b. Suppose the farmer can plant half his field with each crop. Would he choose to do so? Explain your result. c. What mix of wheat and corn would provide maximum expected utility to this farmer? d. Would wheat crop insurance-which is available to farmers who grow only wheat and which costs $4,000 and pays off $8,000 in the event of a rainy growing season-cause this farmer to change what he plants?
- 7.7 A farmer believes there is a 50-50 chance that the next growing season will be abnormally rainy. His expected utility function has the form 1 expected utility =In n YNR +In YR, where YNR and YR represent the farmer's income in the states of “normal rain" and “rainy," respectively. a. Suppose the farmer must choose between two crops that promise the following income prospects: Crop YNR YR Wheat $28,000 $10,000 $15,000 Corn $19,000 Which of the crops will he plant? b. Suppose the farmer can plant half his field with each crop. Would he choose to do so? Explain your result. c. What mix of wheat and corn would provide maximum expected utility to this farmer? d. Would wheat crop insurance-which is available to farmers who grow only wheat and which costs $4,000 and pays off $8,000 in the event of a rainy growing season-cause this farmer to change what he plants?Suppose Grace and Lisa are to go to dinner. Lisa is visiting Grace from outof town, and they are to meet at a local restaurant. When Lisa lived in town,they had two favorite restaurants: Bel Loc Diner and the Corner Stable. Ofcourse, Lisa’s information is out of date, but Grace knows which is betterthese days. Assume that the probability that the Bel Loc Diner is better isp > 1/2 and the probability that the Corner Stable is better is 1 - p. Naturedetermines which restaurant Grace thinks is better. Grace then sends amessage to Lisa, either “Let’s go to the Bel Loc Diner,” “Let’s go to theCorner Stable,” or “I don’t know [which is better].” Lisa receives the message, and then Grace and Lisa simultaneously decide which restaurant to go to. Payoffs are such that Grace and Lisa want to go to the same restaurant, but they prefer it to be the one that Grace thinks is better. More specifically, if, in fact, the Bel Loc Diner is better, then the payoffs from theiractions are as shown in the…Edwina, a commodities broker, has acquired an option tobuy 1,000 oz of gold at $50/oz. If she takes the option and ifCongress relaxes import quotas, she can sell the gold for$80/oz. If she takes the option and Congress does not relaxthe import quotas, however, the company will lose $10/oz. Edwina believes that there is a 50% chance that the governmentwill relax the quota. She also has the option of waiting untilCongress decides whether to relax the import quota. If sheadopts this strategy, however, there is a 70% chance that someother broker will have already taken the option.a If Edwina is risk-neutral, what should she do? b If Edwina’s utility function for a change x in her as-set position is given by u(x) (10,000 x)1/2, what should she do?
- Present the classical model of choice under uncertainty. What are the five assump- tions which characterize the Von-Neumann-Morgenstern expected utility repre- sentation?14 of 17 Attractive conditions in America such as better wages, new technology, and bigger living quarters that would cause one to immigrate to the United States are known as Opull factors. Oliabilities. Ⓒassets. Ⓒpush factors Previous Q Search - 0 2The application which provides a way of revising conditional probabilities by using available information and provisions for revising conditional probabilities with other information that is useful for management decision making is called? Select one: a. Bayes’ theorem. b. overinvolvement ratios. c. probability rules. d. empirical formula.