The current wage rate is $$$$10,$ and the rental rate of capital is $$$$400.$ A$$ firm's marginal physical product of labor is $160,$ and its marginal physical product of capital is $30,000.$ Is the firm maximizing profits for the given cost$$ outlay?

Part $2$

A$.$

No$.$ The marginal factor cost of labor is not equal to the marginal factor cost of capital.

B$.$

No$.$ The marginal physical product of labor per dollar spent on wages is not equal to the marginal physical product of capital per dollar spent on capital.

C$.$

No$.$ The marginal physical product of labor is not equal to the marginal physical product of capital.

D$.$

Yes. The firm is maximizing profits.