Linear Programming – Maximizing Profit

A factory makes two products, P and Q. Each unit of P requires 3 hours of labor and 2 units of raw material, while each unit of Q requires 2 hours of labor and 1 unit of raw material. The factory has a maximum of 60 hours of labor and 40 units of raw material available. If the profit per unit of P is 50 rupees and of Q is 40 rupees, determine the production plan to maximize profit.