A company wishes to produce two types of toys A and B. Each toy A will result a profit of $2 and the toy B gives a profit of $3. To manufacture toy A requires 2 minutes on Machine I and 3 minutes on Machine II. To manufacture toy B requires 3 minutes on Machine I and 4 minutes on Machine II. There are 4 hours available on Machine I and 5 hours on Machine II. Set up the maximization problem with the optimal function and the constraints. (You do not need to solve the problem.