How many children could a man have if he had all the women available and, let's say, he started producing sperm at age 15 and died at around 76 years of age. Things to take into account:
-He has biological needs (sleeps 6-7 hours, eats/shits/pees)
-The probability that he impregnates a woman is not 1
-It is physically impossible to ejaculate more than 30 times (or is it more...?) a day and I guess sperm production would not be able to keep up with the rythm.
-An average man produces 1500 sperms/second
-Kids usually take 9 months to be born
-miscarriage is included in the probabilty of being born which is 0<p<1...
-ALSO HE WILL NOT BE FINANCIALLY /EMOTIONALLY RESPONSIBLE OF ANY OF HIS CHILDREN

How would you tackle this problem?