A factory manufactures three products: X, Y, and Z. What is the total profit generated from these products in a month? Statements: I: The selling price for Product X is $150, with a production cost of $90. For Product Y, the selling price is $200, and the production cost is $120. For Product Z, the selling price is $250, and the production cost is $180. The factory produces 1,000 units of X, 800 units of Y, and 600 units of Z each month. II: The profit margin for Product Y is 25% higher than that for Product X, and Product Z's profit margin is 10% higher than Product Y's. III: The total cost of production for all products last month was $120,000, and this month, it is expected to decrease by 15%.