An automobile manufacturer makes hardtops and sports cars. Each Hardtop needs 8 labor-hours to assemble, 2 labor-hours to paint, and 2 labor-hours to upholster and is sold for profit of $900. Each Sports car needs 18 labor-hours to assemble, 2 labor-hours to paint, and 1 labor-hour to upholster and is sold for profit of $1000. Throughout each day 360 labor-hours are available to assemble, 50 labor-hours to paint and 40 labor-hours to upholster automobiles. How many hardtops and sports car should be produced each day to maximize the profit? What is the maximum profit?