Thin Lenses: an Optical System Comprises in Turn, from Left

Multiple Choice

Thin lenses: An optical system comprises in turn, from left to right: an observer, a lens of focal length +30 cm, an erect object 20 mm high, and a convex mirror of radius 80 cm. The object is between the lens and the mirror, 20 cm from the lens and 50 cm from the mirror. The observer views the image that is formed first by reflection and then by refraction. What is the position of the final image, measured from the mirror?

A) 90 cm
B) 102 cm
C) 114 cm
D) 126 cm
E) 138 cm