A control circuit employs at least two optimization stages while developing a radiation-treatment plan. During a first optimization stage the control circuit uses a first radiation-treatment plan optimization process that employs user-selected constraints to provide general plan results. During this first optimization stage the control circuit then provides one or more opportunities for a user to modify those user-selected constraints to thereby influence the general plan results. Eventually, this first optimization stage identifies a set of resultant user-selected constraints. During the second optimization stage the control circuit then uses a second radiation-treatment plan optimization process that employs the aforementioned resultant user-selected constraints to provide an optimized radiation-treatment plan.