Show how you could prepare each of the following compounds. Use the starting material indicated along with ethyl acetoacetate or diethyl malonate and any necessary inorganic reagents. Assume also that the customary organic solvents are freely available.
(a) 4-Phenyl-2-butanone from benzyl alcohol
(b) 3-Phenylpropanoic acid from benzyl alcohol
(c) 2-Allyl-1,3-propanediol from propene
(d) 4-Penten-1-ol from propene
(e) 5-Hexen-2-ol from propene