Suppose we have a constant product automated market maker of the form x·y = k, where k is a constant, x represents the amount of Token X, and y represents the amount of Token Y. Initially ,there are 4 Token X and 1600 Token Y. Alice makes a trade that results in her receiving exacty 60% of the Token X from the pool. (The pool charges no fees.) Which is larger: the initial amount of Token Y in the pool, or the amount of Token Y that Alice traded in?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.7: Costs, Income, And Value Problems
Problem 18P
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Suppose we have a constant product automated market maker of the form x·y = k, where k is a constant, x represents the amount of Token X, and y represents the amount of Token Y. Initially ,there are 4 Token X and 1600 Token Y. Alice makes a trade that results in her receiving exacty 60% of the Token X from the pool. (The pool charges no fees.) Which is larger: the initial amount of Token Y in the pool, or the amount of Token Y that Alice traded in?
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