Suppose that the marginal utility of good X and good Y is given by the following equations:
MUX = 1/(X + 10)
MUY = 1/Y 
Definitions:
Alleged
Claimed to be the case or have taken place, although there is no proof.
Livery of Seisin
A historic legal ceremony transferring possession of property from a seller to a buyer.
Delivery of Keys
The act of physically handing over the keys of a property, symbolizing the transfer of possession or control from one party to another, often occurring in real estate transactions.
Extinguished
Used to describe a situation where a debt, obligation, or right has been nullified or terminated.
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