The Production Engineer is a feature that can be used during production and increases the production quantity by 25%. This feature is charged based on the characteristics of the relevant production line and does not require any raw material consumption. However, since it doesn't consume raw materials, it increases the unit cost by 20%.
You don't need any specific card for the production engineer. You can use it with in-game cash. You can easily assign the production engineer from within the facility or the Quick Management screen.