Cables AB and AC can sustain a maximum tension Tmax, and the pole can support a maximum

Question:

Cables AB and AC can sustain a maximum tension Tmax, and the pole can support a maximum compression Pmax. Determine the maximum weight of the lamp that can be supported in the position shown. The force in the pole acts along the axis of the pole.
Given:
Tmax = 500 N c = 2 m
Pmax = 300 N d = 1.5 m
a = 6 m e = 4 m
b = 1.5 m f = 1.5 m

B. a