Suppose the hourly wage is $10 and the price of each unit of capital is $25 The price of output is constant at $50 per unit The production function is f(E,K) EK , so that the marginal product of labor is MPE ()(K E) If the current capital stock is fixed at 1,600 units, how much labor should the fir...

The firms labor demand curve is its value of marginal ...

Suppose the hourly wage is $10 and the price of each unit of capital is $25. The

Question:

Suppose the hourly wage is $10 and the price of each unit of capital is $25. The price of output is constant at $50 per unit. The production function is
f(E,K) = E½K ½,
so that the marginal product of labor is
MPE = (½)(K/E) ½ .
If the current capital stock is fixed at 1,600 units, how much labor should the firm employ in the short run? How much profit will the firm earn?