An American worker can produce either $5$ cars or $9$ tons of grain a year. A Japanese worker can produce either $3$ cars or $9$ tons of grain a year. To keep things simple, assume that each country has $100$ million workers.

Complete the following table with the number of workers needed to make one car or $1$ ton of grain in the United States and Japan.

$\backslash$table$[[,$Workers Needed to Make$],[1$ Car,$1$ Ton of Grain,$],[$United States,$\frac{\frac{1}{5}vv}{\frac{1}{3}},\frac{\frac{1}{9}vv}{\frac{1}{9}vv}$

Use the blue line $($circle symbol$)$ to graph the production possibilities frontier for the American economy. Then use the green line $($triangle symbol$)$ to graph the production possibilities frontier for the Japanese economy.

$?$

Complete the following table by determining the opportunity cost of a car and of a ton of grain for both the United States and Japan.

$\backslash$table$[[,$Opportunity Cost of$],[,($In terms of tons of grain given up$),($In terms of cars given up$)],[$United States,$\frac{14}{5}$grad,$\frac{5}{9}v{v}_{?}$