Tourism in 2020 Because of the coronavirus pandemic, the actual number of people who visited Australia and South Africa in 2020 was much lower than predicted. Suppose the following table gives the number of people (in thousands) who visited Australia and South Africa in 2020 Australia South Africa To North America 80 250 From Central and South America 50 20 Europe 430 440 Referring to the 2020 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 2019. Το Australia South Africa North America 1,010 430 From Central and South America 140 110 Europe 1,660 1,550 Take A to be the 3 x 2 matrix whose entries are the 2019 tourism figures (in thousands) and take B to be the 3 x 2 matrix whose entries are the 2020 tourism figures (in thousands). (a) Compute the matrix B - A. What does this matrix represent? ○ It represents changes in number of visitors over the period 2019-2020. It represents changes in number of visitors over the period 2020-2021. It represents changes in number of visitors in 2020. It represents changes in number of visitors in 2019. (b) Assuming that 2021 saw increases in every category equal in magnitude to half the 2020 losses, give a formula (in terms of A and B) that gives the number of visitors from the three regions to Australia and South Africa in 2021.
Tourism in 2020 Because of the coronavirus pandemic, the actual number of people who visited Australia and South Africa in 2020 was much lower than predicted. Suppose the following table gives the number of people (in thousands) who visited Australia and South Africa in 2020 Australia South Africa To North America 80 250 From Central and South America 50 20 Europe 430 440 Referring to the 2020 tourism figures, assume that the following (fictitious) figures represent the corresponding numbers from 2019. Το Australia South Africa North America 1,010 430 From Central and South America 140 110 Europe 1,660 1,550 Take A to be the 3 x 2 matrix whose entries are the 2019 tourism figures (in thousands) and take B to be the 3 x 2 matrix whose entries are the 2020 tourism figures (in thousands). (a) Compute the matrix B - A. What does this matrix represent? ○ It represents changes in number of visitors over the period 2019-2020. It represents changes in number of visitors over the period 2020-2021. It represents changes in number of visitors in 2020. It represents changes in number of visitors in 2019. (b) Assuming that 2021 saw increases in every category equal in magnitude to half the 2020 losses, give a formula (in terms of A and B) that gives the number of visitors from the three regions to Australia and South Africa in 2021.
Chapter1: Making Economics Decisions
Section: Chapter Questions
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