A manufacturing company produces five different products: Product P, Product Q, Product R, Product S, and Product T. The company's fixed costs are $400,000 per month. The variable costs per unit for Product P, Product Q, Product R, Product S, and Product T are $25, $30, $35, $40, and $45 respectively. If the selling prices per unit for Product P, Product Q, Product R, Product S, and Product T are $60, $70, $80, $90, and $100 respectively, and the company aims to maximize profit, how many units of each product should it produce and sell?