The small firm makes 3 products, that all follow same three-step process, that comprise of milling, inspection, and drilling. Product A needs 6 minutes of milling, five minutes of inspection, and four minutes of drilling; product B needs 2.5 minutes of milling, two minutes of inspection, and two minutes of drilling; and product C needs 5 minutes of milling, 4 minutes of inspection, and 8 minutes of drilling. Department has twenty hours available during next period for milling, fifteen hours for inspection, and 24 hours for drilling. Product A gives $6.00 per unit to profit, product B gives $4.00 per unit, and product C gives $10.00 per unit. Determine optimum mix of products in terms of maximizing contributions to profits?