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##### Statistics Ch4 & 5 Problems

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Question;1. A risk avoider is a person for whom the utility of an outcomeA) decreases as the monetary value increases.B) stays the same as monetary value increases.C) increases at an increasing rate as the monetary value increases.D) increases at a decreasing rate as monetary value increases.E) none of these.2. The following is a payoff table giving profits for various situations.States of NatureAlternatives A B CAlternative 1 100 120 180Alternative 2 120 140 120Alternative 3 200 100 50Do Nothing 0 0 0The probabilities for states of nature A, B, and C are 0.3, 0.5, and 0.2, respectively.what are the expected values for each alternative?What decision should be made under expected value?What is the EVPI?3. Which of the following statements is NOT true?A) A feasible solution satisfies all constraints.B) An optimal solution satisfies all constraints.C) An infeasible solution violates all constraints.D) A feasible solution point does not have to lie on the boundary of the feasible region.4. Payoffs areA) called chance events.B) under the control of the decision maker.C) states of nature.D) All of the alternatives are trueE) associated with each decision alternative and each chance event outcome.5. Decision variablesA) tell how much or how many of something to produce, invest, purchase, hire, etc.B) represent the values of the constraints.C) measure the objective function.D) must exist for each constraint.6. When consequences are measured on a scale that reflects a decision maker's attitude toward profit, loss, and risk, payoffs are replaced byA) utility.B) multicriteria measures.C) sample information.D) opportunity loss.9. Values of utilityA) must be between 0 and 1.B) must be between 0 and 10.C) must be nonnegative.D) must increase as the payoff improves.10. When a careful decision analysis has been conductedA) A change in estimated payoffs will not affect the final decision.B) A change in estimated payoffs may affect the final decision.C) Assessed risks will not change.D) Estimated payoffs will not change.11. To find the optimal solution to a linear programming problem using the graphical methodA) find the feasible point that is the farthest away from the origin.B) find the feasible point that is at the highest location.C) find the feasible point that is closest to the origin.D) None of the alternatives is correct.12. The maximization or minimization of a quantity is theA) goal of management science.B) decision for decision analysis.C) constraint of operations research.D) objective of linear programming.13. A decision maker has chosen.4 as the probability for which he cannot choose between a certain loss of 10,000 and the lottery p(-25000) + (1-p)(5000). If the utility of -25,000 is 0 and of 5000 is 1, then the utility of -10,000 isA).5B).6C).4D) 414. Optimistic decision makers tend toA) magnify favorable outcomesB) ignore bad outcomesC) discount favorable outcomesD) magnify favorable outcomes and ignore bad outcomes E) ignore bad outcomes and discount favorable outcomes 15. Solve the following system of simultaneous equations.17. Which of the following is not a property of linear programs?A) one objective functionB) at least two separate feasible regionsC) alternative courses of actionD) one or more constraintsE) objective function and constraints are linear18. A decision alternative with the highest Expected ValueA) Is always preferredB) Reflects factors such as risk, image or other nonmonetary criteriaC) Is preferred when the Expected Value is within a range the decision maker considers reasonableD) Will never have the highest Expected Utility19. The following is a payoff table giving profits for various situations.States of NatureAlternatives A B CAlternative 1 100 120 180Alternative 2 120 140 120The probabilities for states of nature A, B, and C are 0.3, 0.5, and 0.2, respectively.Calculate the expected values for both alternatives. What alternative would be chosen according to expected value?20. The purchase of insurance and lottery tickets shows that people make decisions based onA) expected value.B) sample information.C) utility.D) maximum likelihood.22. For a game with an optimal pure strategy, which of the following statements is false?A) The maximin equals the minimax.B) The value of the game cannot be improved by either player changing strategies.C) A saddle point exists.D) Dominated strategies cannot exist.23. A decision treeA) presents all decision alternatives first and follows them with all states of nature.B) presents all states of nature first and follows them with all decision alternatives.C) alternates the decision alternatives and states of nature.D) arranges decision alternatives and states of nature in their natural chronological order.24. Maxwell Manufacturing makes two models of felt tip marking pens. Requirements for each lot of pens are given below.Fliptop Model Tiptop Model AvailablePlastic 3 4 36Ink Assembly 5 4 40Molding Time 5 2 30The profit for either model is $1000 per lot.What is the linear programming model for this problem?What are the boundary points of the feasible region?What is the profitability at each boundary point of the feasible region?Find the optimal solution.Will there be excess capacity in any resource? If so, how much excess capacity?5. A decision maker has chosen.6 as the probability for which she cannot choose between a certain loss of 10,000 and the lottery of p(5000) + (1 - p)(-25,000). If the utility of -25,000 is 0 and 5000 is 1, then the utility of -10,000 isA).5B).6C).4D) 426. Infeasibility means that the number of solutions to the linear programming models that satisfies all constraints isA) at least 1.B) 0.C) an infinite number.D) at least 2.27. The expected utility approachA) does not require probabilities.B) leads to the same decision as the expected value approach.C) is most useful when excessively large or small payoffs are possible.D) requires a decision tree.28. The options from which a decision maker chooses a course of action areA) called the decision alternatives.B) under the control of the decision maker.C) not the same as the states of nature.D) All of the alternatives are true.29. Which of the following is a valid objective function for a linear programming problem?A) Max 5xyB) Min 4x + 3y + (2/3)zC) Max 5x2 + 6y2D) Min (x1 + x2)/x330. SlackA) is the difference between the left and right sides of a constraint.B) is the amount by which the left side of a? constraint is smaller than the right side.C) is the amount by which the left side of a? constraint is larger than the right side.D) exists for each variable in a linear programming problem.

Paper#62231 | Written in 18-Jul-2015

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