Suppose there are 10 million workers in Canada and that each of these workers can produce either 2 cars or 30 bushels of wheat in a year. 1) Draw the Production Possibilities Frontier (PPF) for the US, knowing that each US worker can produce either 2 cars or 28 bushels of wheat a year. There are 20 million workers in the US 2) If the US wanted to consume an equal amount of both goods, what quantity of each would it produce? Show it on the PPF. 3) How many workers would be allocated to each sector to produce the amount of cars and wheat in 2?
1) the 20 million workers in teh US can produce either
40 million cars (2*20 million) or
560 million bushels of wheat (28*20 million)
Pls see PPF below. Cars on vertical axis and wheat on horizontal axis.
2) & 3) If it wants to produce equal quantity, then assume that x workers are producing cars and 20-x are producing wheat
hence, 2x = (20-x)*28
30x = 560
x = 560/30 = 18.67 million workers will produce cars
20-18.67 = 1.33 million workers will produce wheat
they will produce 2*18.67 = 37.33 million cars
and 28*1.33 = 37.33 million bushels of wheat
It is marked on the PPF above
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