5. (20 points) Suppose a consumer's preferences can be represented by The utility function U(X,Y) = X*Y. Also, suppose the consumer has $300 to spend and the price of Good X is PX = $2 and the price of lGood Y is P3: = $6. If the consumer maximizes their utility subject to their budget constraint, how much of Good X and how much of GoodY will the consumer purchase? x