I want to thank you in advance for your assistance.
We are about to launch a website with woocommerce and we’ve just found out that if a user is NOT logged in to the site—it doesn’t update the price on the cart plugin/widget in the top right menu.
We have also found that the cart is not "keeping" items in the shopping cart on a consistent basis. You can add items, go to the check out, and then if change your mind and want to add more and continue to browse -- it dumps the content of the cart