매우 and 아주 are quite similar in the meaning. But the nuance is different. 아주 has stronger personal feeling than 매우 if 매우 means "very", 아주 would mean "very very". 매우 commonly used in written language with no emotion. 아주 commonly used in colloquial language with a personal emotion. You can use 매우 맛있습니다. But it sounds insincere flattery by the lack of emotion

'매우' is formal expression. It is usually used when debating or weather casting etc... '아주' is between formal and informal. So you can say '딸기가 아주 맛있다' while saying 딸기가 매우 맛있다 is awkward. And if you talking with your friends, it is more natural to use '엄청' or '진짜' as it is informal expression