Q 3 A manufacturer employs three inputs : ma nhours. machinehours and cloth material to manufacture two types of dresses. Type A dress fetches him a prot 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 has sufce only for 36 pieces of type A or 24 pieces of type B dresses. Cloth material available per day is limited but is sufcient enough for 30 pieces of either type of dress. Formulate the LPP and solve it for maximizing prot