Why is h written as h=w/2(xp+px) in the solution? please elaborate

Suppose Hamiltonian of a conservative system in classical mechanics is H = axp, where 1S is a constant and xand p are the position and momentum respectively. The corresponding Hamiltonian in quantum mechanics, in the coordinate representation, is (a) -ihx Ox (b)-iho iho o (c)-ihax Ox (d) 2 Ox