Suppose an elevator can carry a maximum cumulative weight of 1500 kilograms. Suppose further that an individual has an average and standard deviation weight of 75 kilograms and 10 kilograms respectively, independent of others. If we want to have at least a 95% chance that the elevator will not exceed its maximum carrying capacity, determine the maximum number of people that we will allow to ride this elevator at the same time. Use the central limit theorem.

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