A company manufactures two products, A and B. Each unit of Product A requires 3 hours in Workshop X and 1 hour in Workshop Y. Each unit of Product B requires 2 hours in Workshop X and 2 hours in Workshop Y. The profit per unit on Product A is $30, and the profit per unit on Product B is $40. If Workshop X is available for 18 hours per day and Workshop Y for 8 hours per day, what is the maximum profit that the company can achieve? Assume that all units produced are sold.