From time to time people ask how you could compress or extract compressed files in SSIS. While SSIS does not have any built-in taks to do that, you can certainly use execute process task to run a command line using the utility file archiver software of your choice. In the example below, I am using a 7-zip command line to compress a file. 7-zip is open source software (yes, it is free!); but you could use any other tool that provides support for command line.
Notice that the excutable path/file provided in Executable property must exist in any server runing the package (no just in your development environment). Also, remember that most properties of the task can be affected via expressions, that would come handy for changing the path and or file names at run time.
The argument property must be changed to match the proper syntax, depending on your tool of choice.