A company makes two products (X and Y) using two machines (A and B). Each unit of X that is produced requires 50 minutes processing time on machine A and 30 minutes processing time on machine B. Each unit of Y that is produced requires 24 minutes processing time on machine A and 33 minutes processing time on machine B. Available processing time on machine A is forecast to be 40 hours and on machine B is forecast to be 35 hours. The amounts of manufactured product X has to be at most 40% of total production. Company policy is to maximize the combined sum of the units of X and the units of Y in stock at the end of the week. How many of each product should be manufactured to optimized the total number of products?