The six industrial centers continue to draw resources and materials from the warehouse and produce new commodities each turn at the level you set, as long as the resources and labor are available.
This means you need to visit these centers only when you have expanded the industry and want to increase production, or you need the materials, resources, or labor elsewhere and want to decrease production.
Even if resources fall below requirements the industry remembers the amount you ordered, and in subsequent turns will attempt to fulfill the original demands. However, when the production box is opened, even if the orders are not changed, the production demand automatically re-sets to the level shown in the slider.
Orders in for the railyard, food processing, capital, trades school, and all three unit construction sites are not saved to the next turn.