I understand the meaning of both words, but I can't figure out what the expression means.
Minute Maid® is a brand of frozen orange juice concentrate, from which an orange juice drink can be made by adding water.
From the Minute Maid® web site:
Minute Maid® is a play on the words "made in a minute," or "[in a] minute made."
Could also mean: "The little maid". :)
Minute has many meanings and with different pronounciations (se below).
Examples: - One minute (time). [ˈminit] - Insignificant, very small, slight etc. [mīˈn(y)o͞ot]