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Cooper is a car rental company, with normally distributed daily demand D N ( = 1000, 2 = 2002 ). It needs to decide the

Cooper is a car rental company, with normally distributed daily demand D N ( = 1000, 2 = 2002 ). It needs to decide the fleet size S (the number of cars); each car in the fleet incurs daily cost $50, regardless of usage. In case of shortage, Cooper borrows from Herts, at unit cost $75 per car (other costs are zero). What is the optimal fleet size?

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