Chile\'s Production Possibilities FrontierColombia\'s Production Possibilities F

Question

Chile's Production Possibilities FrontierColombia's Production Possibilities Frontier 20 18 16 14 12 10 (ixpounds) fi rounds) 18 16 14 10 2 4 6 8 10 12 14 16 18 20 caffee ponds 2 4 6 8 10 12 14 16 18 20 coffee (inpounds 14 Refer to Figure 3-8. If the production possibilities frontiers shown are each for one day of production, then which of the following combinations of coffee and soybeans could Chile and Colombia together make in a given day? a. 4 pounds of coffee and 16 pounds of soybeans b. 8 pounds of coffee and 15 pounds of soybeans c. 16 pounds of coffee and 10 pounds of soybeans d. 24 pounds of coffee and 4 pounds of soybeans 15. Refer to Figure 3-8. If the production possibilities frontiers shown are each for one day of production, then which of the following combinations of pounds of coffee and pounds of soybeans could Chile and Colombia together not make in a given day? a. 4 pounds of coffee and 17 pounds of soybeans b. 8 pounds of coffee and 14 pounds of soybeans C. 16 pounds of coffee and 9 pounds of soybeans d. 24 pounds of coffee and 3 pounds of soybeans

Explanation / Answer

14. The correct option is

Colombia can produce 4 pounds of coffee with 4 pounds of soyabeans, and the remaining 12 pounds of soyabeans would then can be produced by Chile. Of course, the same may not be said if Chile produces coffee.

But, for other options, we may see that, if Columbia produces 8 pounds of coffee, and 2 pounds of soyabeans, there is no way Chile can produce rest of 13 pounds of soyabeans. Also, if Chile produces 8 pounds of coffee and 6 pounds of soyabeans, there is no way Columbia can produce the rest of 9 pounds of soyabeans. Also, if Chile produces 16 pounds of coffee, Columbia would still not be able to produce 10 pounds of soyabeans, and if Columbia produces produces 12 pounds of coffee, Chile would still not be able to produce 4 pounds of coffee and 10 pounds of soyabeans (Chile can produce 9 pounds of soyabeans with 4 pounds of coffee). Again, if Chile produces 16 pounds of coffee, then Columbia can not produce 8 pounds of coffee and 4 pounds of soyabeans, and if Columbia produces 12 pounds of coffee, Chile can still not produce 12 pounds of coffee and 4 pounds of soyabeans.

15. The correct option is

Only combinaiton in option a is not possible in any way, as can be judged from the previous part that the combinaiton of 4 pounds of coffee and 16 pounds of soyabeans is exhausts all the resources, and an additional 1 pounds of soyabeans is not possible.

Columbia can produce 8 pounds of coffee and 2 pounds of soyabeans, while Chile can produce the rest 12 pounds of soyabeans. Also, Columbia can produce 12 pounds of coffee, and Chile can produce 4 pounds of coffee and 9 pounds of soyabeans. Again, Columbia can produce 12 pounds of coffee and Chile can produce 12 pounds of coffee and 3 pounds of soyabeans.

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