Question

the total number of eggs produced by a healthy human female during lifetime

Answer 1

Normally only one egg matures in each ovary every alternate month.
So for a year, a healthy human female produces 12 eggs.
The reproductive period is from 13 to 45 years (average).
45 - 13 = 32 years is a healthy female's reproductive period.
Total number of eggs produced by a healthy female
                              = 12*32 = 384 eggs (on an average).

Answer 2

About 500 ....during her reproductive lifespan