A manufacturing company produces five different products: Product A, Product B, Product C, Product D, and Product E. The company's fixed costs are $200,000 per month. The variable costs per unit for Product A, Product B, Product C, Product D, and Product E are $20, $25, $30, $35, and $40 respectively. If the selling prices per unit for Product A, Product B, Product C, Product D, and Product E are $50, $60, $70, $80, and $90 respectively, and the company aims to maximize profit, how many units of each product should it produce and sell?