A company produces two products. The unit profit of product 1 is $8 and that of product 2 is $7. The products need to go through two manufacturing processes. The daily capacity of for processes 1 is 8 hours and for process 2 is 15 hours. Product 1 requires 2 hours in process 1 and 5 hours in process 2. Product 2 requires 1 hour in process 1 and 2 hours in process 2. Find the optimal solution using Dynamic Programming. Consider integer variables.