Problems and exercisesRetrosynthetic analysis

A linear synthesis has eight steps, each in 85% yield. What is the overall yield? And if it is reorganized into two four-step fragments joined in a ninth step, also at 85%?

Calculate the atom economy of the carbonylation of 1-(4-isobutylphenyl)ethanol (C₁₂H₁₈O, 178 g/mol) with CO (28 g/mol) to ibuprofen (C₁₃H₁₈O₂, 206 g/mol).