Two couples act on the beam. Determine the magnitude of F so that the resultant couple moment

Question:

Two couples act on the beam. Determine the magnitude of F so that the resultant couple moment is M counterclockwise. Where on the beam does the resultant couple moment act?

Given:
M = 450 lb⋅ ft
P = 200 lb
a = 1.5 ft
b = 1.25 ft
c = 2 ft
θ = 30 deg