A Firm's Production Function Is Given By $Q = K L$

Multiple Choice

A firm's production function is given by $Q = K L$ . The marginal products of labor and capital are, respectively, $M P _ { L } = K$ and $M P _ { K } = L$ . The wage rate of labor is $w = \$ 10$ and the rental rate of capital is $r = \$ 20$ . The firm spends exactly $\$ 1000$ in the most efficient way possible. How much output can the firm produce?

A) 450
B) 800
C) 1000
D) 1250