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Cunard chairman Lord Inverclyde thus approached the British government for assistance. Faced with the impending collapse of the British liner fleet and the consequent loss of national prestige, as well as the reserve of shipping for war purposes which it represented, they agreed to help. By an agreement signed in June 1903, Cunard was given a loan of £2.6 million to finance two ships, repayable over 20 years at a favourable interest rate of 2.75%. The ships would receive an annual operating subsidy of £75,000 each plus a mail contract worth £68,000. In return, the ships would be built to Admiralty specifications so that they could be used as auxiliary cruisers in wartime. Cunard established a committee to decide upon the design for the new ships, of which James Bain, Cunard's Marine Superintendent was the chairman. Other members included Rear Admiral H. J. Oram, who had been involved in designs for steam turbine-powered ships for the Royal Navy, and Charles Parsons, whose company Parsons Marine was now producing revolutionary turbine engines.
Parsons maintained that he could design engines capable of maintaining a speed of 25 knots (46 km/h; 29 mph), which would require 68,000 shaft horsepower (51,000 kW). The largest turbine sets built thus far had been of 23,000 shp (17,000 kW) for the Dreadnought-class battleships, and 41,000 shp (31,000 kW) for Invincible-class battlecruisers, which meant the engines would be of a new, untested design. Turbines offered the advantages of generating less vibration than the reciprocating engines and greater reliability in operation at high speeds, combined with lower fuel consumption. It was agreed that a trial would be made by fitting turbines to Carmania, which was already under construction. The result was a ship 1.5 knots (2.8 km/h; 1.7 mph) faster than her conventionally powered sister Caronia with the expected improvements in passenger comfort and operating economy.
The ship was designed by Leonard Peskett and built by John Brown and Company of Clydebank, Scotland. The ship's name was taken from Lusitania, an ancient Roman province on the west of the Iberian Peninsula—the region that is now southern Portugal and Extremadura (Spain). The name had also been used by a previous ship built in 1871 and wrecked in 1901, making the name available from Lloyds for Cunard's giant. Peskett had built a large model of the proposed ship in 1902 showing a three-funnel design. A fourth funnel was implemented into the design in 1904 as it was necessary to vent the exhaust from additional boilers fitted after steam turbines had been settled on as the power plant. The original plan called for three propellers, but this was altered to four because it was felt the necessary power could not be transmitted through just three.