Answer:
q1=5
q2=4
Explanation:
In a Cournot model with a demand of the form [tex]P=a-bQ[/tex] and firms with constant marginal costs we can easily find that the equilibrium quantities are given by
[tex]q_1=\frac{a-2c_1+c_2}{3}[/tex]
[tex]q_2=\frac{a-2c_2+c_1}{3}[/tex]
where [tex]q_1[/tex] is the quantity produced by firm 1 and [tex]c_1[/tex] are its marginal costs. The same for firm 2.
So replacing with the data given in the problem we have that
[tex]q_1=\frac{15-2\times1+2}{3}=\frac{15}{3}=5[/tex]
[tex]q_2=\frac{15-2\times2+1}{3}=\frac{12}{3}=4[/tex]
