Question: Suppose Bob challenges himself to do 25 push-ups a day for 30 days. If he misses the first day he adjusts his goal to do

Suppose Bob challenges himself to do 25 push-ups a day for 30 days. If he misses the first day he adjusts his goal to do 26 push-ups the next day and all subsequent days. If he misses the next day also he adds another push-up so that he has to do 27 push-ups a day for the remaining 28 days. This continues until he finally starts exercising and does the required amount of push-ups for the day. Suppose that Bob never does a day with only a partial number of push-ups and he never does more than are called for. Also, once he finally starts doing push-ups he continues every day until the end of the 30 days. Assuming Bob does some pushups, what are the maximum and the minimum number of push-ups he might end up doing?

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