The gourmet has not proven that it is impossible to make a decision, only that it is impossible to make an optimal one. In order to do that, he would have to collect data, presumably by patronizing the restaurant multiple times and ordering the same dish each time with different quantities of cheese.

Had the waiter simply reminded the gourmet of this, he would have generated possibly substantial additional revenue for the restaurant, not to mention substantial savings on cheese. It is therefore my recommendation that