3. In autarky, the production (and consumption) of textiles and autos will utilize all the
available 1,000 days of labor. Thus, with T = number of units of textiles produced and A =
number of autos produced, 1,000 = (2 days/unit)T + (5 days/unit)A. The consumption
requirement is that 10 units of textiles be consumed for every unit of automobiles. Hence, total
textile production is equal to (10) (total auto production), i.e., 10A. Thus, given the available
labor, and substituting 10A for T,
With specialization in textile production and trade, textile production equals 500 units.
Consumption of textiles (CT) is equal to textile production minus the textile exports used to
acquire auto imports, and auto imports are equal to auto consumption (CA). With the
With CT = 416⅔ units, CA therefore equals 41⅔ units. Because of specialization and trade, the
United States has gained 16⅔ units of textiles (416⅔ – 400) and 1⅔ autos (41⅔ – 40) in
comparison with the autarky situation.