4 (3 points) Suppose a firm's technology is represented by the following Cobb-Douglas production function: F(K, N^(d) ) =zKA(Itheta )(N^(d) )^(1-\theta ) where \theta ={t} equals 1/3 and the total factor productivity is 3. The firm OWns K=8 units of capital. The firm has to hire labour in competitive markets where real wage rate is equal to 2 (in terms of final consumption good). Choose the firm's maximum profits and the optimum amount of labour that maximizes its profit.Suppose a firms technology is represented by the Cobb-Douglas production function