Meghan's utility function is given by U( x, y) = x y She has income I =240 and faces prices Px = $ 4 and Py = $ 4 Find Meghan's optimal basket given these prices and her income. If the price of x decreases to $ 2 and Meghan's income is unchanged, what must the price of y rise to in order for her to be exactly as well off as before the change in Px? (Hint: You need to calculate pY such that, with the new prices, Meghan reaches exactly the same indifference curve as before).

In this problem I am trying to use the Income consumption curve but i really only know how to complete it when there is a change in income. As you can see here it is simply the change in the price of X and how that correlates to the price of Y. I would like to know if im following the right path here or if I need to try something else entirely. Every time i try to think of a way through this problem, I end up getting the same price for Y as I do for X. I do not know i to calculate to find what the price increase in Y should be.