Ben's neighborhood lemonade market can be thought of as perfectly competitive. For our firm, Max uses X to produce lemonade. Max's production process is represented by Q=X3/2 when Max produces up to 4 units. For output beyond 4, Max's production process is represented by Q=X+4. Max can sell his lemonade for $1 and the price of the input is $3. In order to maximize profit, how much of the input should Max use?