Suppose there are two goo

Suppose there are two goo

Suppose there are two goods, X and Y. A consumer will choose a vector (x,y) in R^2 that is feasible (non-negative consumption levels) and which she can afford, given income I and prices Px and Py. Assume I, Px, and Py are all positive. So the domain for her utility maximization problem is the set D of all vectors (x,y) which is an element of R^2 satisfying x>=0, y>=0, and PxX+PyY=c and x element of X such that g(x) <=c are closed.there is another hint saying if that doesnt work, use the definition: X is closed if and only if its complement (in R^2) is open.

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