Consider the following game theory model of competition between two firms, firm 1 and firm 2, producing the same good, e.g, widgets.

Each firm chooses its own output taking as given the output of its rival.If firm 1 produces q₁ units and firm 2 produces q₂ units, then the price of good will be p = 208-5q, where q =q₁ +q₂ .

Find the Nash equilibrium of this game assuming the cost function of firm 1 is

C₁(q₁ ) = 7q₁²

and the cost function of firm 2 is

C₂(q₂ ) = 7q₂²

Then enter below the best response of firm 1 to firm 2 producing q₂ = 13 units.