Publish/Unpublish Landing Pages (Flexible Layout)

Method 1 - When viewing the page, click on the Edit tab

Scroll to bottom, check/uncheck "Published" field. 

Click on "Save" button.

Published field with checkmark in it. Save button below.

 

Alternate method - From the administration content page

You may select the page, then use the Action dropdown at the bottom of the page. Select "Publish content" or "Unpublish content". Click on "Apply to selected items" button.

List of content, with one item selected. Unpublish content selected in dropdown.