A shop has the following production function: f(E,K) = 2E3/5 K1/7
The price of output is $20, the wage rate is $7, and the rental rate for capital is $5 per unit.
a. Find the short-run profit maximizing level of labor demand if capital is fixed at 30 units.
b. Find the long-run profit maximizing level of labor demand and capital demand.
c. If wages change to $9, which effect is stronger for capital, substitution or scale?