A company produces two products, A and B, which have profit margins of $3 and $5 per unit, respectively. The company has a limited production capacity of 1000 hours per week and a limited raw material supply of 1500 units per week. Product A requires 2 hours of production time and I unit of raw material, while product B requires 3 hours of production time and 2 units of raw material. Formulate the linear programming problem to maximize the total profit for the company and solve it graphically.