Question

Assume both Paul and Cliff divide their time equally between the production of corn and wheat, and they do not trade. If they are the only producers of wheat and corn, then total production of wheat and corn is

Answer 1

The answer is 7 bushels of wheat and 7 bushels of corn.

Referring to the diagram in the attached image.

If both Paul and Cliff dedicate their time entirely to one crop.

Paul can grow 8 bushels of wheat and Cliff can grow 6 bushels of wheat

Or Paul can grow 10 bushels of corn and Cliff can grow 4 bushels of corn.

But If they divide their time equally between the two crops, each can grow half of each crop,

Then Paul will be growing 4 bushels of wheat and 5 bushels of corn.

And Cliff will be growing 3 bushels of wheat and 2 bushels of corn.

Total production = Paul's production + Cliff's production

                           = (4 bushels of wheat+5 bushels of corn) + (3 bushels of wheat+2 bushels of corn)

                          = (4+3) bushels of wheat + (5+2) bushels of corn

                          = 7 bushels of wheat + 7 bushels of corn

Hence, total production is 7 bushels of wheat and 7 bushels of corn.

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