Final Answer:
a) Catalonia has a comparative advantage in producing beer.
b) If each country allocates 5 million of its population to the rice industry, the joint total production would be: Rice = 40 million kilos/day, Beer = 35 million kilos/day.
c) If both countries specialize in their comparative advantage and allocate their entire population accordingly, the total gain in production of rice and beer would be: Rice = 60 million kilos/day, Beer = 45 million kilos/day.
Step-by-step explanation:
a) Comparative advantage is determined by the opportunity cost of production. To find it, divide the units of one product by the units of the other for each country: Catalonia's opportunity cost of producing rice is 4/3, while Granada's is 3/3 = 1, and for beer, Catalonia's is 3/4 and Granada's is 1/3. Catalonia has a lower opportunity cost in beer production, indicating its comparative advantage in beer.
b) Allocating 5 million to the rice industry in each country results in Catalonia producing 5 million workers × 4 kilos/day = 20 million kilos/day of rice, and Granada producing 5 million workers × 3 kilos/day = 15 million kilos/day of rice. For beer, Catalonia's 7 million workers × 3 kilos/day = 21 million kilos/day, and Granada's 7 million workers × 1 kilo/day = 7 million kilos/day. The joint total production would then be Rice = 20 + 15 = 35 million kilos/day, Beer = 21 + 7 = 28 million kilos/day.
c) Specializing in their comparative advantage, if Catalonia employs all 12 million workers in beer production (12 million × 3 kilos/day = 36 million kilos/day), and Granada allocates all 12 million to rice (12 million × 3 kilos/day = 36 million kilos/day), the total production becomes Rice = 20 + 16 = 60 million kilos/day, Beer = 36 + 9 = 45 million kilos/day, resulting in gains in both rice and beer production.