Were there successful farming plantations during the Great Depression?

Lanterns on the Levee is a memoir
about a plantation owner, his principles and ideals, and his plantation that existed
before and during the Great Depression.  It is by William Alexander Percy.  It was first
published in 1941.  (A memoir is a book that recounts personal knowledge of the
author.)  Lanterns on the Levee is a very highly regarded
memoir.

An excerpt from the memoir is found in vol. II of
Major Problems in the History of the American South by Paul D.
Escott and David R. Goldfield (1990, 110-114).  This excerpt is about the plantation
during the Great Depression.  It was a cotton plantation in
Mississippi.

Perhaps your public library can borrow one or
both of these books for you.

The link that I have provided
below, gives short reviews of the book.

You asked about
plantations; plantations are large farms that devote all of their resources to the
production of one crop for market.  Coffee plantation, cotton plantations, banana
plantations, and so on.