A manufacturer employs three inputs: man hours, machine-hours and cloth material to manufacture two types of dresses. Type 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 type A or 20 pieces of type B dresses per day while the machine-hours he possesses suffice only for 36 pieces of type 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 drsss. Formulate the linear programming model and solve it graphically.