What is the role of Mechanical QA/QC Engineer in Manufacturing / Production Industry?

Across all types of industry, quality engineers are at work monitoring, testing and inspecting products to make sure they meet specified standards. Quality engineers test products to determine how long they will last, what part may break down first and how to improve product durability. 

Mechanical Engineer response is that  protect the equipment and avoid problems use the goods of good quality and control the product .good separator design and production equipment etc

project management skills in general more practice than knowledge but I would recommend PMP or any project management course, usually in construction leadership is improved in the first few years the next skills you need to focus at is seeing the big picture, planning and budget involvement.

QA/AC is monitor the quality of manufactured parts. 

QA/QC Engineer is the key role person to audit the quality of the manufactured product with the project quality plan and project specifications.

Mechanical qa/Qc engineers monitor and audit the quality of all manufactured goods.

they play a major role in assuring the correct way of production steps and will ensure the products are of desired  quality.

As a QA QC Engineer major role is assist QA/QC Manager in conducting internal quality audits. The activities deviated from the Contract Specifications or normal construction industry practices.

Monitor and ensure the quality of all manufactured goods in manufacturing industries as per given procedure. They work to not only find defects, but also to find the cause of the defect and develop a solution.