A retail store sells six types of products, P, Q, R, S, T, and U. The store's fixed costs are $110,000 per month. The variable costs per unit for product P, product Q, product R, product S, product T, and product U are $14, $20, $26, $32, $38, and $44 respectively. If the selling prices per unit for product P, product Q, product R, product S, product T, and product U are $50, $60, $70, $80, $90, and $100 respectively, how many units of each product must the store sell to maximize profit?