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A movie theater offers showings of a movie each day. A total of 500 people come to see the movie on a particular day. The theater is interested in the number of people who attended each of the six showings. 81 +82 +83 +84 +85 +86 = 500. How many possibilities are there for the tallies for each showing for that day if... a...there are no restrictions? b ... none of the showings can be an empty theater? c... S12, 82 ≥ 3, 83 ≥ 4, 84 ≥ 5, 85 ≥ 6, 86 ≥ 7?

A movie theater offers showings of a movie each day. A total of 500 people come to see the movie on a particular day. The theater is interested in the number of people who attended each of the six showings. 81 +82 +83 +84 +85 +86 = 500. How many possibilities are there for the tallies for each showing for that day if... a...there are no restrictions? b ... none of the showings can be an empty theater? c... S12, 82 ≥ 3, 83 ≥ 4, 84 ≥ 5, 85 ≥ 6, 86 ≥ 7?

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.2: Modeling Arrival And Service Processes
Problem 3P
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A movie theater offers showings of a movie each day. A total of 500 people come to see the movie on a particular day. The theater is interested in the number of people who attended each of the six showings. 81 +82 +83 +84 +85 +86 = 500. How many possibilities are there for the tallies for each showing for that day if... a...there are no restrictions? b ... none of the showings can be an empty theater? c... S12, 82 ≥ 3, 83 ≥ 4, 84 ≥ 5, 85 ≥ 6, 86 ≥ 7?
Transcribed Image Text:A movie theater offers showings of a movie each day. A total of 500 people come to see the movie on a particular day. The theater is interested in the number of people who attended each of the six showings. 81 +82 +83 +84 +85 +86 = 500. How many possibilities are there for the tallies for each showing for that day if... a...there are no restrictions? b ... none of the showings can be an empty theater? c... S12, 82 ≥ 3, 83 ≥ 4, 84 ≥ 5, 85 ≥ 6, 86 ≥ 7?
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