The population of weights for men attending a local health club is normally distributed with a mean of 171-lbs and a standard deviation of 29-lbs. An elevator in the health club is limited to 35 occupants, but it will be overloaded if the total weight is in excess of 6510-lbs. Assume that there are 35 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded?
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