As you can see on the above image, You can set a limited amount of variations visible only. If your product has 10,20 variations that you cannot show on the archives page directly because of User experience and website design, Then you can limit the visibility of variations with Variation Limiter.
You can choose to number of variations to show on archives page with limiter. First you select the attribute that you want to limit and activate the limiter from settings.
There are other features like limiter in this plugin, You can check them from here.