$1.-$In a stator factory, different defects are recorded during the manufacturing process. Some of these defects can be reprocessed and others involve product waste. Two months' data is shown below.

$\backslash$table$[[$Defect in stator,Number of products with defects$],[$Split magnet wire,$624],[$Landed $($hi$-$pot$),448],[$scraped copper,$171],[$Out of phase,$593],[$raised sheet,$304],[$short tips,$175],[$broken tips,$210]]$

a$)$ Perform a Pareto analysis for these defects.

b$)$ Of the total defects, $1218$ caused it to no longer be possible to reprocess the product, which implies a unit cost of $7\mathrm{.}5$ dollars; while $1,207$ could be reprocessed with a unit cost of $1\mathrm{.}5$ dollars. Estimate the annual cost generated by this waste and reprocessing.

c$)$ After the Pareto analysis carried out, what defects the company must address to improve scrap and rework levels.

d$)$ What will be the real improvement $($expressed as a percentage$)$ that the plant will make in relation to the applied Pareto.