Use a Custom Cart Message to broadcast important information to your customers.
To set up a new Custom Cart Message you can open the Theme Editor and click on Theme Settings > Cart. The options for this are under the 'Message' headline:
The Custom Cart Message is shown in the cart drawer (like in the example above) and in the cart page.
Note: The Message itself does not generate a promo code. If you plan on using this message in a similar way be sure to set up a promo code first. to learn more about Shopify Promo Codes and Discounts.