A manufacturing company produces fifteen different products: Product M, Product N, Product O, Product P, Product Q, Product R, Product S, Product T, Product U, Product V, Product W, Product X, Product Y, Product Z, and Product AA. The company's fixed costs are $1 million per month. The variable costs per unit for Product M, Product N, Product O, Product P, Product Q, Product R, Product S, Product T, Product U, Product V, Product W, Product X, Product Y, Product Z, and Product AA are $80, $85, $90, $95, $100, $105, $110, $115, $120, $125, $130, $135, $140, $145, and $150 respectively. If the selling prices per unit for Product M, Product N, Product O, Product P, Product Q, Product R, Product S, Product T, Product U, Product V, Product W, Product X, Product Y, Product Z, and Product AA are $500, $510, $520, $530, $540, $550, $560, $570, $580, $590, $600, $610, $620, $630, and $640 respectively, and the company aims to maximize profit, how many units of each product should it produce and sell?