cottage firm employed 5 men and 9 women to make two types of articles P and Q. A man takes 2 hours, while a woman takes 3 hours to make one unit of article P and a man takes 1 hour, while a woman takes 2 hours to make one unit of article Q. A man and a woman can work for a maximum of 8 hours a day. The firm makes a profit of Rs 35 and Rs 20 by selling one unit of article P and one unit of article Q respectively. Formulate this problem as a linear programming problem.