A$,$ B$\text{'}$s agent, signs a promissory note, promising to pay $C$$$10,000$ in one month in the following manner, $"$A$,$ as agent for B$."$ Assuming that A has the authority to sign the note, is B liable for the $$10,000?$

No$.B$ is not liable because he has no primary liability.

Yes. A clearly signed as B$\text{'}$s agent, and therefore B is liable.

Yes, but only if A fails to pay. B has secondary liability.

No$.A$ is liable because A failed to sign $B\text{'}$s name.