How did the american plantation owners end up living in hawaii?

Hawaii was the first U.S. possession to become a major destination for immigrants from Japan, and it was profoundly transformed by the Japanese presence.  

In the 1880s, Hawaii was still decades away from becoming a state, and would not officially become a U.S. territory until 1900. However, much of its economy and the daily life of its residents were controlled by powerful U.S.-based businesses, many of them large fruit and sugar plantations. Unlike in the mainland U.S., in Hawaii business owners actively recruited Japanese immigrants, often sending agents to Japan to sign long-term contracts with young men who'd never before laid eyes on a stalk of sugar cane. The influx of Japanese workers, along with the Chinese, Filipino, Korean, Portuguese, and African American laborers that the plantation owners recruited, permanently changed the face of Hawaii. In 1853, indigenous Hawaiians made up 97% of the islands' population. By 1923, their numbers had dwindled to 16%, and the largest percentage of Hawaii's population was Japanese.

levels of production can be increased by technology while holding labor and capital constant, because increased technology makes the production process more efficient. subsequently, the lras curve is almost a vertical line, that can shift to the right, with an increase in technology.

the relationship between the lras curve and the ppc is that both can make the economy could grow. the ppc achieves that when it shifts outward because of more resources or technological advances while the lras curve shifts if more resources are developed or if there are technological advances.

the lras curve is a vertical line at an output level that represents the number of goods and services a nation can produce over a sustained period using all of its productive resources as efficiently as possible with all of the current technology available to it.

the production possibilities frontier (ppf) is a graphical device that is used for economic analysis of production decisions because the ppf measures the maximum possible combinations of two goods that an economy is capable of producing with its currently available resources and technology.