LetterHead: I could use a joint photographic expert group (JPEG) for the letterhead which would let me compress the logo. But with this file format i would lose quality.i could also you use windows Bitmap (BMP) which supports a wide range of colours.
Home Page Of A Website: I could use a JPEG on a page of a website because it would be a very good quality image.
Magazine: In a magazine i could use a high quality JPEG because it would be very clear and not pixelated.
Billboards: I would use photoshop vector file because it allows me to blow the Logo up without pixelating.
Merchandise: For the merchandise i will use JPEG because it would be good quality for all merchandise, a BMP could also be used because it has a wide variety of colours.
