A Furniture manufacturer markets 2 products. each unit of Product A requires 3 hours in the moulding department, 4 hours in the Paint Shop, 1 Hour in Finishing. Each unit of B requires 3 hours in molding, 2 hours Painting, and 2 hours finishing. Each week there are 210 hours available in Moulding, 200 hours in Painting, and 120 hours Finishing. Shipping can handle no more than 40 units of product A per week. Each unit of product A contributes $2000 to profit, while each unit of Product B contributes $30. Determine how many units of each product should be manufactured per week to maximize profit.