The cost function for a product is C(q)=q3−60q2+1200q+1160 for 0≤q≤50 and a price per unit of $599.

a) What production level maximizes profit?
q =
b) What is the total cost at this production level?
cost = $
c) What is the total revenue at this production level?
revenue = $
d) What is the total profit at this production level?
profit = $
Thanks in advance for anyones help!