Consider a visual binary star system with a period of 55.41 years. Its measured trigonometric parallax is 0.4217'' and, assuming that the plane of the orbit is in the plane of the sky, the true angular extent of the semi-major axis is 6.69''. The ratio of the distances of component A and component B from the center of the mass is A/B = 0.501

b) The absolute bolometric magnitude of component A is 1.42, and component B has an absolute bolometric magnitude of 9.03. Determine their luminosities. Express your answers in terms of the luminosity of the sun.