Tough moments question

Hello friends, I have this problem I’ve been stuck on for a while:

Here are a few relevant equations:

Moment = FxDy + FyDx
Fx = F cos θ
Fy = F sin θ

I can’t even get past part (a). Resolving the 100 lb force is easy. It would be 100 sin 60 for the vertical component and – 100 cos 60 for the horizontal component. And the P component is a horizontal force, with no vertical component. The distance between P and C is 8". The distance between the horizontal component of the 100 lb force would be 8" too I guess (not sure), but what would be the vertical distance?

Part (b) doesn’t look too hard once P is figured out.

I am not sure about part (c). Where will point A be if the moment is a maximum?

I don’t understand part (d) either.

Help would greatly be appreciated.
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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