Using Permissions With Sandbox solution

Hello 

 

After deploying a sharepoint 2013 sandbox solutuion using VS2013, Only the farm adminsitaror can executed the code. 

 

The code is an event reciver which listen if an item was added to execute a code on custom list, when operation on the list is done, another code will update a second list. 

 

this is a summary of how the code will work. 

 

now my problem is that only the a user with full permissions can execute the code or a user with farm administrator priviliges.

 

so now i should add other users to the farm adminsiatros group or give them full control permssions. 

 

is there any solution to this problem. 

 

regards.