A factory produces bicycles and motorcycles by using two machines A and B . Machine A has at most 120 hours available and machine B has a maximum of 144 hours available. Manufacturing a bicycle requires 5 hours in machine A and 4 hours in machine B while manufacturing of a motorcycle requires 4 hours in machine A and 8 hours in machine B . if he gets profit of Rs.40 per bicycle and Rs.50 per motorcycle , how many bicycles and motorcycles should be manufactured to get maximum profit