Actually, all work has those same competitive elements. If you focus only on one of the three objectives, one or both of the remaining objectives will likely suffer.
Do you recognize that all of your work is a process? It may be so obvious as to be overlooked. All work entails inputs of some kind, activities that modify those input, and outputs that meet the needs of downstream customers.
"Reliable Processes Optimize Quality, Cost, and Speed." So, rather than focus on just one of these attributes, focus on improving the reliability of your processes.
Dennis