Consider a Cournot Duopoly with the Following Inverse Demand Function

Multiple Choice

Consider a Cournot duopoly with the following inverse demand function: P = 100 − 2Q₁ − 2Q₂.The firms' marginal costs are identical and are given by MC_i(Q_i) = 2Q_i.Based on this information,firm 1 and 2's reaction functions are:

A) r₁(Q₂) = 24.5 − 0.5Q₁ and r₂(Q₁) = 24.5 − 0.5Q₂.
B) r₁(Q₂) = 24.5 − 0.5Q₂ and r₂(Q₁) = 24.5 − 0.5Q₁.
C) Q₁ = 49 − 0.5Q₂ and Q₂ = 49 − 0.5Q₁.
D) Q₁ = 49 − 0.25Q₂ and Q₂ = 49 − 0.25Q₁.