No they grow in a bog.
tropical food
Yes Cranberries are grown in Alaska
The United States is the largest producer of cranberries. Over half of the cranberries grown in the United States are grown in Wisconsin.
rain forest
You can get sugar from the rain forest as there is sugar canes where sugar is grown.
Acai berries grow naturally in the Amazon Rain Forest.
There are no crops grown in the Amazon rain Forest. A rain forest is an area of land covered in Trees and plant life to have a farm land in the rain forest would no longer make it a rain forest.
Ocean Spray cranberries are grown in places like Cape Cod in a cranberry bog. For Ocean Spray specifically it has over 600 growing farms of its cranberries across North America.
Cranberries are grown in the northen part of the U.S. and also in Chile. While there are certainly other places they are grown there is no information that shows a serious production in Louisiana.
They are grown on bushes but are flooded for easier harvest.
plants
Yes, the Amazon rain forest is the largest rain forest in the world