I have a question about Managerial Economics I want some pro

I have a question about Managerial Economics. I want some professional tutors help me solve them.Please give me detailed solutions. Thank you!

The condition would be as below:

AC = MC

0.004q^2 + 50 + (750/q) = 0.012q^2 + 50

Therefore, q = 45.43

At this quantity level the profit would be 0.

(P45.43) – (0.004 × 45.43^3 + 50 × 45.43 + 750) = 0 (Where P is the price)

P45.43 = 3,396.55

P = 74.76

Answer: Price = Minimum average cost = $74.76