Can somebody take me home?
You meet a wizard in downtown Chicago. The wizard tells you he can make you more attractive if you pay him money. When you ask how this process works, the wizard points to a random person on the street. You look at this random stranger. The wizard says, "I will now make them a dollar more attractive." He waves his magic wand. Ostensibly, this person does not change at all; as far as you can tell, nothing is different. But - somehow - this person is suddenly a little more appealing. The tangible difference is invisible to the naked eye, but you can't deny that this person is vaguely sexier. The wizard has a weird rule, you can only pay him once. You can't keep giving him money until you're satisfied.
You can only pay him one lump sum up front. How much cash do you give the wizard?