$($a$)$ Consider a standard Heckscher$-$Ohlin $($HO$)$ Model, where two countries Home and Foreign produce two goods, sugar and milk, using labour

$($L$)$ and capital $($K$).$ Home is relatively labour abundant and Foreign is relatively capital abundant. Assume that sugar is relatively capital intensive and milk is relatively labour intensive. Answer the following questions:

$($i$)$ Discuss the pattern of trade between the two countries.

Under what condition$($s$)$ factor price equalization may be obtained? Discuss with help of a diagram showing the segment of equalization.

Draw the graphs