How is ammonia manufactured industrially ?

A manufacturer maks two types A and B of tea cups. Three machines are needed for the manufacture and the time in minutes required for each cup on the machines is given below. Each machine is available for a maximum of 6 hours per day. If the profit on each cup A is 75 paise and that on each cup B is 50 paise. How many both type of tea cups should be manufactured in a day to get the maximum profit ?

A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs. 5 and that from a shade is Rs. 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximise his profit ?

A self help group wants to manufacture joker's caps of 3 cm. radius and 4 cm height. If the available paper sheet is 1000 cm^2 , then how many caps can be manufactured from that paper sheet ?

Which leaves are used in manufacture of bidies ?

A company has two plants to manufacture scooters. Plant I manufacture 70% and plant II manufacture 30% of scooters. In plant I 80% and in plant II, 90% scooters are rated as standard quality.A scooter is selected at random and found to be standard quality. What is the probability that it is manufactured in plant (II) ?