problem: The Haberdashery has a budget of $800 for raw materials and has at most 200 hours of machine time available a week. I take half an hour of machine time to make a silk scarf & one hour to produce a wool tie. The raw materials cost 5 dollar for a scarf and 2 dollar for a wool tie. How many ties & scarf should the firm make to maximize its profit if they obtain $3? Profit for a tie and $2 profit for a scarf?