If you're receiving the error message:
"You don't have sufficient permissions for this action"
in Excel 2016 for Windows when you begin a "Solve" through the Solver App this usually means that you have an older "version" of Excel installed that does not support the required functionality of the Solver App.
If possible, update your Office installation with the steps available here:
Post update, ensure your office version is at least Version 1708 (Build 8431.2094) or newer. If it is not, you may need to perform an Office Repair to update properly:
If neither of these options allows your build/version to reach or exceed 1708 (Build 8431.2094) you may need to contact Microsoft's Office Support team for assistance with updating your installation.
Alternately, you can try uploading/opening your workbook in Excel Online and running your Solve through the Solver App available through Excel Online.
If the issue persists after you are updated to or beyond Version 1708 (Build 8431.2094) in Office 2016 or Office 365 please contact us at firstname.lastname@example.org.