Suppose a consumer's preferences can be represented by the utility function U(X,Y) = Min (2X,Y). Also, suppose the consumer has $100 to spend and the price of Good X is PX = $1 and the price of Good Y is PY = $2. If the consumer maximizes their utility subject to their budget constraint, how much of Good X and how much of Good Y will the consumer purchase?

X* =

Y* =