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In the 1990s, significant numbers of tourists traveled from North America and Asia to Australia and South Africa. In 1998, a total of 2,232,000 of these tourists visited Australia, while 391,000 of them visited South Africa. Also, 632,000 of these tourists came from North America, and a total of 2,623,000 tourists traveled from these two regions to these two destinations. (Assume no single tourist visited both destinations r traveled from both North America and Asia.) (a) The given information is not sufficient to determine the number of tourists from each region to each destination. Why? O This system has infinitely many solutions. O This system has finite number solutions. O This system has no solution. O This system has one solution. (b) If you were given the additional information that a total of 1,991,000 tourists came from Asia, would you now be able to determine the number of tourists from each region to each destination? O Yes O No If so, what are these numbers? (If the given information is not sufficient, enter NONE in all answer blanks.) from North America to Australia tourists from North America to South Africa tourists from Asia to Australia tourists from Asia to South Africa tourists (c) If you were given the additional information that 200,000 tourists visited South Africa from Asia, would you now be able to determine the number of tourists from each region to each destination? O Yes O No If so, what are these numbers? (If the given information is not sufficient, enter NONE in all answer blanks.) tourists tourists from North America to Australia from North America to South Africa from Asia to Australia tourists from Asia to South Africa tourists

In the 1990s, significant numbers of tourists traveled from North America and Asia to Australia and South Africa. In 1998, a total of 2,232,000 of these tourists visited Australia, while 391,000 of them visited South Africa. Also, 632,000 of these tourists came from North America, and a total of 2,623,000 tourists traveled from these two regions to these two destinations. (Assume no single tourist visited both destinations r traveled from both North America and Asia.) (a) The given information is not sufficient to determine the number of tourists from each region to each destination. Why? O This system has infinitely many solutions. O This system has finite number solutions. O This system has no solution. O This system has one solution. (b) If you were given the additional information that a total of 1,991,000 tourists came from Asia, would you now be able to determine the number of tourists from each region to each destination? O Yes O No If so, what are these numbers? (If the given information is not sufficient, enter NONE in all answer blanks.) from North America to Australia tourists from North America to South Africa tourists from Asia to Australia tourists from Asia to South Africa tourists (c) If you were given the additional information that 200,000 tourists visited South Africa from Asia, would you now be able to determine the number of tourists from each region to each destination? O Yes O No If so, what are these numbers? (If the given information is not sufficient, enter NONE in all answer blanks.) tourists tourists from North America to Australia from North America to South Africa from Asia to Australia tourists from Asia to South Africa tourists

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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In the 1990s, significant numbers of tourists traveled from North America and Asia to Australia and South Africa. In 1998, a total of 2,232,000 of these tourists visited Australia, while 391,000 of them visited South Africa. Also, 632,000 of these tourists came from North America, and a total of 2,623,000 tourists traveled from these two regions to these two destinations. (Assume no single tourist visited both destinations or traveled from both North America and Asia.) (a) The given information is not sufficient to determine the number of tourists from each region to each destination. Why? O This system has infinitely many solutions. O This system has finite number of solutions. O This system has no solution. O This system has one solution. (b) If you were given the additional information that a total of 1,991,000 tourists came from Asia, would you now be able to determine the number of tourists from each region to each destination? O Yes O No If so, what are these numbers? (If the given information is not sufficient, enter NONE in all answer blanks.) from North America to Australia tourists from North America to South Africa tourists from Asia to Australia tourists from Asia to South Africa tourists (c) If you were given the additional information that 200,000 tourists visited South Africa from Asia, would you now be able to determine the number of tourists from each region to each destination? O Yes O No If so, what are these numbers? (If the given information is not sufficient, enter NONE in all answer blanks.) from North America to Australia tourists from North America to South Africa tourists from Asia to Australia tourists from Asia to South Africa tourists
Transcribed Image Text:In the 1990s, significant numbers of tourists traveled from North America and Asia to Australia and South Africa. In 1998, a total of 2,232,000 of these tourists visited Australia, while 391,000 of them visited South Africa. Also, 632,000 of these tourists came from North America, and a total of 2,623,000 tourists traveled from these two regions to these two destinations. (Assume no single tourist visited both destinations or traveled from both North America and Asia.) (a) The given information is not sufficient to determine the number of tourists from each region to each destination. Why? O This system has infinitely many solutions. O This system has finite number of solutions. O This system has no solution. O This system has one solution. (b) If you were given the additional information that a total of 1,991,000 tourists came from Asia, would you now be able to determine the number of tourists from each region to each destination? O Yes O No If so, what are these numbers? (If the given information is not sufficient, enter NONE in all answer blanks.) from North America to Australia tourists from North America to South Africa tourists from Asia to Australia tourists from Asia to South Africa tourists (c) If you were given the additional information that 200,000 tourists visited South Africa from Asia, would you now be able to determine the number of tourists from each region to each destination? O Yes O No If so, what are these numbers? (If the given information is not sufficient, enter NONE in all answer blanks.) from North America to Australia tourists from North America to South Africa tourists from Asia to Australia tourists from Asia to South Africa tourists
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