# Help with Microeconomics calculus ?

I'm learning about the Cournot game for oligopolies, and I'm having some trouble calculating the Marginal Revenue so I can derive the best response curve for each firm.

For the problem I'm trying to solve, the inverse demand function is P = 16 - Q. Marginal Cost is equal to 4. I know revenue is price times quantity (R = P.Q).

When I try to calculate the marginal revenue (MR), I get 16 - q1 - q2. However, the correct answer for the MR is 16 - 2q1 - q2. (q1 is firm 1, and q2 is firm 2).

Could someone please explain why the second MR is the correct one? If possible, please write out the calculus to find the MR.

### 1 Answer

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= [16-2q1-q2-4] is symmetric to ∂/∂q2[π2], & MR1=MR2...