TechSolve, a software development company, is struggling with identifying the root causes of recurring bugs in their software products. These issues are affecting customer satisfaction and project deadlines. The management has decided to use quality improvement tools and methods to systematically identify and solve these problems. You have been assigned to lead this initiative and ensure effective problem$-$solving and process improvements.

$($a$)$Identify the steps TechSolve should take to effectively apply problem$-$solving techniques to address recurring bugs.

$($b$)$Analyse the appropriate quality tools and methods that TechSolve could use to identify and solve the root causes of these bugs.

$($c$)$Discuss how the implementation of these tools and methods can improve customer satisfaction and project deadlines at TechSolve.