A manufacturing company produces six different products: Product A, Product B, Product C, Product D, Product E, and Product F. The company's fixed costs are $500,000 per month. The variable costs per unit for Product A, Product B, Product C, Product D, Product E, and Product F are $30, $35, $40, $45, $50, and $55 respectively. If the selling prices per unit for Product A, Product B, Product C, Product D, Product E, and Product F are $80, $90, $100, $110, $120, and $130 respectively, and the company aims to maximize profit, how many units of each product should it produce and sell?