A manufacturer employs three inputs: man hours, machine hours and cloth material to manufacture two types of dresses. A dress fetches him a profit of Rs. 160 per piece, while type B, that of Rs. 180 per piece. The manufacturer has enough man hours to manufacture 50 pieces of A or 20 pieces of type B dresses per day while the machine hours has possesses suffice only for 36 pieces of A or for 24 pieces for type B dresses. Cloth material available per day is limited but sufficient enough for 30 pieces of either type of dress. Formulate this as a linear programming problem and solve graphically.