Suppose a consumer's preferences can be represented by the utility function U(X,Y) = X*Y. Also, suppose the consumer has $200 to spend and the price of Good X is P_X = $2 and the price of Good Y is P_Y = $4. 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* =