A manufacturer produces two products, X and Y, and wants to determine the optimal production mix that maximizes the profit. The profit per unit of X is Rs. 5 and the profit per unit of Y is Rs. 8. The manufacturer has a maximum of 500 hours of machine time and 600 hours of labor time available per day. Each unit of X requires 2 hours of machine time and 3 hours of labor time, while each unit of Y requires 4 hours of machine time and 2 hours of labor time. Formulate the linear programming problem to determine the optimal production mix of X and Y, what is the maximum profit?