A workshop receives its supply through a main line that can safely provide 500 kW.
(i) Express the maximum supply in watts.
(ii) The workshop intends to run 15 lathes rated at 12kW each and 20 furnaces rated at 18kW each. Calculate the total power drawn by these machines in kilowatts.
(iii) The management wants to install 10 identical milling machines as well. For safety, the total power drawn must not exceed 80 % of the supply capacity. Determine the highest permissible power rating, in kilowatts, of each milling machine so that this condition is satisfied.