The sex attractant of the codling moth gives an IR spectrum with a broad signal between 3200 and 3600 cm^-1 and two signals between 1600 and 1700 cm^-1. In the mass spectrum of this compound, the molecular ion peak appears at m/z = 196, and the relative abundance of the molecular ion and the (M+1) peak are 27.2% and 3.9%, respectively.

a. What functional groups are present in this compound?

b. How many carbon atoms are present in the compound?

c. Based on the information given, propose a molecular formula for the compound.