Final answer:
Without specific numerical values for labor or productivity, we cannot calculate the exact numbers of high-quality and low-quality cars produced in the North and South. The proportion of two-thirds for high-quality and one-third for low-quality gives us the ratio of production but requires additional data to solve for quantities and total global output.
Step-by-step explanation:
To calculate how many high-quality and low-quality cars will be produced in the North and South in a no-trade world, we need to consider the division of labor in the auto industry. If two-thirds of the auto industry labor in each region is used to make high-quality cars and one-third to make low-quality cars, we apply these proportions to the total labor force available for car production in each region. However, we require numeric values representing the total number of workers or the total capacity for car production in the North and South to provide specific production quantities.
For example, if the North has 600 workers in the auto industry, we'd expect 400 workers to produce high-quality cars and 200 workers to produce low-quality cars. Similarly, if the South has 300 workers, 200 would be allocated to high-quality production and 100 to low-quality production. The actual quantities would depend on the productivity of these workers, which is not specified in the scenario.
Total global output for each type of car can be obtained by adding up the production from both the North and South. Without precise data, we can only state the relationship: The total global output of high-quality cars would be the sum of high-quality car production in the North and the South, and likewise for low-quality cars.