We have planned the Lunar observatory project, TSUKUYOMI aiming to meter-wavelength observations on the Moon. One of the scientific objectives is to observe the 21-cm global signal from the Dark Ages using the 1-50 MHz observing frequency range. The receiving system must have a noise temperature sufficiently lower than the foreground noise and also requires the flat bandpass response. To cover the ultra-wide bandwidth, a dipole antenna and a preamplifier with high input impedance will be employed. This paper focuses on a feasibility study of the system performance. The environment of and around the observation site, such as the lunar surface dielectric permittivity and the antenna height from the ground, affects the sensitivity because it alters important parameters such as the antenna beam pattern and impedance. The investigation results of relationship between the surrounding environment and the sensitivity will be also reported.