Chapter 22, Problem 45P

$\text{β}-$ Vetivone is isolated from vetiver, a perennial grass that yields a variety of compounds used in traditional eastern medicine, pest control, and fragrance. In one synthesis, ketone A is converted to $\text{β}-$ vetivone by a two-step process: Michael reaction, followed by intramolecular aldol reaction. (a) What Michael acceptor is needed for the conjugate addition? (See problem 23.61 for another method to form the bicyclic ring system of $\text{β}-$ vetivone) (b) Draw a stepwise mechanism for the aldol reaction, which forms six-membered ring.