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• • A.2 having a difficult time, Ian Langella has been thinking about starting his own independent gasoline station. Ian's problem is to decide how large his station should be. The annual returns will depend on both the size of his station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Ian developed the following table: Even though independent gasoline stations have been SIZE OF FIRST STATION GOOD MARKET ($) FAIR POOR MARKET ($) 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 For example, if Ian constructs a small station and the market is good, he will realize a profit of $50,000. a) Develop a decision table for this decision, like the one illustrated in Table A.2 earlier. b) What is the maximax decision? c) What is the maximin decision? d) What is the equally likely decision? e) Develop a decision tree. Assume each outcome is equally likely, then find the highest EMV.PX

• • A.2 having a difficult time, Ian Langella has been thinking about starting his own independent gasoline station. Ian's problem is to decide how large his station should be. The annual returns will depend on both the size of his station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Ian developed the following table: Even though independent gasoline stations have been SIZE OF FIRST STATION GOOD MARKET ($) FAIR POOR MARKET ($) 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 For example, if Ian constructs a small station and the market is good, he will realize a profit of $50,000. a) Develop a decision table for this decision, like the one illustrated in Table A.2 earlier. b) What is the maximax decision? c) What is the maximin decision? d) What is the equally likely decision? e) Develop a decision tree. Assume each outcome is equally likely, then find the highest EMV.PX

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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• • A.2 having a difficult time, Ian Langella has been thinking about starting his own independent gasoline station. Ian's problem is to decide how large his station should be. The annual returns will depend on both the size of his station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Ian developed the following table: Even though independent gasoline stations have been SIZE OF FIRST STATION GOOD MARKET ($) FAIR POOR MARKET ($) 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 For example, if Ian constructs a small station and the market is good, he will realize a profit of $50,000. a) Develop a decision table for this decision, like the one illustrated in Table A.2 earlier. b) What is the maximax decision? c) What is the maximin decision? d) What is the equally likely decision? e) Develop a decision tree. Assume each outcome is equally likely, then find the highest EMV.PX
Transcribed Image Text:• • A.2 having a difficult time, Ian Langella has been thinking about starting his own independent gasoline station. Ian's problem is to decide how large his station should be. The annual returns will depend on both the size of his station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Ian developed the following table: Even though independent gasoline stations have been SIZE OF FIRST STATION GOOD MARKET ($) FAIR POOR MARKET ($) MARKET ($) 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 For example, if Ian constructs a small station and the market is good, he will realize a profit of $50,000. a) Develop a decision table for this decision, like the one illustrated in Table A.2 earlier. b) What is the maximax decision? c) What is the maximin decision? d) What is the equally likely decision? e) Develop a decision tree. Assume each outcome is equally likely, then find the highest EMV.PX
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