The inverse demand for tacos is given byP= 10 - 0.02Q, wherePis the price per taco andQis the total number of tacos brought to market. There are two taco shops in the market. Shop 1's cost function is given byC₁=0.01q₁², whereq₁is the number of tacos it brings to market. Shop 2's cost function is given byC₂=0.01q₂², whereq₂is the number of tacos it brings to market. Given that the two shops compete by setting output (Cournot), answer the following.

a. Identify shop 1's reaction function to firm 2's output.

b. Identify shop 2's reaction function to firm 1's output.

c. Identify the equilibrium output level of each shop and the equilibrium price for tacos.