Consider a firm using the following long-run technology:q=f(x1,x2)=1/3ln(x1)+1/6ln(x2)Where output and input prices are given by the non-negative constant vector(p,w1=2,w2=1). Which of the following represents the firm's profit maximizing level of supply ,q(p), as a function of the output price?

a.1/2ln(p/3)

b.1/2e^2p

c.1/2ln(p/6)

d.1/2e^(p/6)