A dispensing system for an additive manufacturing apparatus includes a frame, a powder reservoir, an agitator and an array of dispensing units positioned below the powder reservoir. The powder reservoir has a first width along a primary axis, and includes a lower portion and an upper portion that is wider than the lower portion along a second axis perpendicular to the primary axis. The agitator is positioned in the upper portion of the powder reservoir. Each dispensing unit includes a nozzle block that has a passage therethrough that defines a nozzle and provides a respective path for the powder to flow from the powder reservoir to the nozzle, and a valve positioned in the passage in the nozzle block to controllably release powder through the nozzle.