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Problem 5 (20 points). To conduct a sociological survey, a research lab needs to reach at least 200 people aged 31-40, 150 people aged 41-50, 100 people aged 51-60, and 50 people aged 61-70. The survey is conducted by phone. The cost of making a daytime call and an evening call is $5 and $7, respectively. Based on historical data, it is expected that the ages of the respondents will be distributed as described in the following table. Age of the Respondent Percent of Daytime Calls Percent of Evening Calls 31-40 10 20 41-50 10 30 51-60 10 15 61-70 20 other 50 15 20 No more than 30% of all phone calls can be made in the evening. Formulate an LP minimizing the cost of conducting the survey while reaching the target number of respondents from each age group.

Problem 5 (20 points). To conduct a sociological survey, a research lab needs to reach at least 200 people aged 31-40, 150 people aged 41-50, 100 people aged 51-60, and 50 people aged 61-70. The survey is conducted by phone. The cost of making a daytime call and an evening call is $5 and $7, respectively. Based on historical data, it is expected that the ages of the respondents will be distributed as described in the following table. Age of the Respondent Percent of Daytime Calls Percent of Evening Calls 31-40 10 20 41-50 10 30 51-60 10 15 61-70 20 other 50 15 20 No more than 30% of all phone calls can be made in the evening. Formulate an LP minimizing the cost of conducting the survey while reaching the target number of respondents from each age group.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Problem 5 (20 points). To conduct a sociological survey, a research lab needs to reach at least 200 people aged 31-40, 150 people aged 41-50, 100 people aged 51-60, and 50 people aged 61-70. The survey is conducted by phone. The cost of making a daytime call and an evening call is $5 and $7, respectively. Based on historical data, it is expected that the ages of the respondents will be distributed as described in the following table. Age of the Respondent Percent of Daytime Calls Percent of Evening Calls 31-40 10 20 41-50 10 30 51-60 10 15 61-70 20 other 50 15 20 No more than 30% of all phone calls can be made in the evening. Formulate an LP minimizing the cost of conducting the survey while reaching the target number of respondents from each age group.
Transcribed Image Text:Problem 5 (20 points). To conduct a sociological survey, a research lab needs to reach at least 200 people aged 31-40, 150 people aged 41-50, 100 people aged 51-60, and 50 people aged 61-70. The survey is conducted by phone. The cost of making a daytime call and an evening call is $5 and $7, respectively. Based on historical data, it is expected that the ages of the respondents will be distributed as described in the following table. Age of the Respondent Percent of Daytime Calls Percent of Evening Calls 31-40 10 20 41-50 10 30 51-60 10 15 61-70 20 other 50 15 20 No more than 30% of all phone calls can be made in the evening. Formulate an LP minimizing the cost of conducting the survey while reaching the target number of respondents from each age group.
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