Solve the following microeconomics exercises (please include graphs and detailed explanations with all the mathematical operations that were used ) This is all the info that was proportioned.

duopoly

Total cost: Q^2+2Q+4

Demand eq:100-6P

Determine:

a) Cournot's equilibrium

b) collusion case

c) in what case Eq1 breaks the balance

d) stackelberg equilibrium