Chapter 23, Problem 23.72P

Capsaicin, the spicy component of hot peppers, can be prepared from amine X and acid chloride Y. Devise a synthesis of Y from $\left(\text{E}\right)\text{-6-methylhept-4-en-1-ol[}{\left({\text{CH}}_{\text{3}}\right)}_{\text{2}}\text{CHCH=CH}{\left({\text{CH}}_{\text{2}}\right)}_{\text{3}}\text{OH}$, ${\text{CH}}_{\text{2}}{\left({\text{CO}}_{\text{2}}\text{Et}\right)}_{\text{2}}$, and any required inorganic reagents.