plucking eggs

[Ttapanic]

I have two Rhode Island Reds and one Cochin. Cochin delivers most days and the Reds deliver one egg every few days and it's plucked. I think the solution is to remove the Reds and keep the Cochin and add chicks to the flock. What do you all think?
Trapanic Walnut Creek, CA

 

[Den in Penn]

Do you mean pecked? By the way kudos to your Cochin for out laying not one but two RIR.