$2.$ Please answer the following questions using the table below. $($Total $5$ points$)$

The table indicates the amount of labor required to produce one unit of each product in the U$.$S$.$ and Korea.

Current exchange rate: $1,000$ Korean won per dollar

Wages: Korea $-5,000$ won$/$hour; U$.$S$.-10$ dollars$/$hour

$(1)$ Explain the patterns of trade based on the table. $(1$ point$)$

$(2)$ If the wage in Korea rises to $7,500$ won per hour, how will the patterns of trade change? $(2$ points$)$

$(3)$ If the exchange rate shifts from $1,000$ won$/$dollar to $1,500$ won$/$dollar$,$ how will the patterns of trade change? $(2$ points$)$