4. (20 points) Suppose a consumer's preferences can be represented by the utility function UGLY) = Min (2X,Y}. Also, suppose the consumer has $105 to spend and the price of Good X is PX = $5 and the price of Good Y is PY = $1. 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? 1\