Exam 21: Decision-Making Tools
The EMV of a decision with three states of nature is $50.If the profit/value of A is 1/3 of B and B is 1/3 of C,determine the profit from A if B and C have an equal chance of occurring that combined is twice the chance of A occurring.
The probabilities of all three states are equal from the question (1 + 1)/2 = 1.Thus the total payoff is simply the average of the three payoffs or 1/9 + 1/3 + 1 = 13/27 if the value of C is 1.Solving for 13/27 ∗ C = 50 gives C = $103.85.Thus A = $11.54.This problem could also be solved by setting the value of A to X and solving 50 = (X + 3X + 3 ∗ 3X)/3 to give X = $11.54 = A.
Identify,in order,the six steps of analytical decision making.
1.Clearly define the problem and factors that influence it.
2.Develop specific and measurable objectives.
3.Develop a model-that is,a relationship between objectives and variables (which are
measurable quantities).
4.Evaluate each alternative solution based on its merits and drawbacks.
5.Select the best alternative.
6.Implement the decision and set a timetable for completion.
An example of expected monetary value would be the payoff from selecting a particular alternative when a particular state of nature occurs.
False
A retailer is deciding how many of a certain product to stock.The historical probability distribution of sales for this product is 0 units,0.2;1 unit,0.3;2 units,0.4,and 3 units,0.1.The product costs $8 per unit and sells for $25 per unit.The conditional value for the decision alternative "Stock 3" and state of nature "Sell 1" is
Expected monetary value is most appropriate for problem solving that takes place
The first step,and a key element,in the decision-making process is to
Describe the meaning of EVPI.Provide an example in which EVPI can help a manager.
What limitation(s)do decision trees overcome compared to decision tables?
Earl Shell owns his own Sno-Cone business and lives 30 miles from a beach resort.The sale of Sno-Cones is highly dependent upon his location and upon the weather.At the resort,he will profit $120 per day in fair weather,$10 per day in bad weather.At home,he will profit $70 in fair weather,$55 in bad weather.Assume that on any particular day,the weather service suggests a 40% chance of foul weather.
a.Construct Earl's decision tree.
b.What decision is recommended by the expected value criterion?
Which of the following is not considered a step in the decision-making process?
The highest value for the equally likely criterion is ________;this occurs with alternative ________. 

If a decision maker knows for sure which state of nature will occur,he/she is making a decision under certainty.
A decision-maker using the maximax criterion on the problem below would choose Alternative ________ because the maximum of the row maximums is ________. 

There are three equally likely states of nature (High,Medium,and Low demand).If the large factory will post profits of $50,000,$25,000,and - $10,000 under these states of nature,respectively,what is the EMV of the factory?
In a decision tree,a square symbol represents a state of nature node.
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