How do I estimate the number of neutron stars and black holes relative to the number of stars in the main sequence and white dwarfs?

Recently, I had a homework question that gave me the mass of a main-sequence star, that is, M_tp = 0.9 M_solar, and the population formed at the same time. I am supposed to use the stellar birth function to help determine the answer. However, I still have no idea how to approach this. Can someone explain how someone would approach this question?

• What is M_tp? Just some stellar mass from one part of the homework? Dec 4, 2022 at 23:45
• So, there is a specific mass where the main-sequence star gets off the main-sequence to turn into a giant. By the terms of this question, this is assuming that the main-sequence star gets off of the main-sequence with a solar mass M = 0.9 Dec 4, 2022 at 23:59
• Is the question to estimate the number of black holes, etc in the galaxy or within that cluster? If the latter: what's the mass and age? Dec 5, 2022 at 7:20
• Dec 5, 2022 at 14:45