Lenovo decides that she wants to purchase a bicycle so that she can get more exercise. she wants a touring bike but doesn't have enough money for a new one, so she plans to look for a good, used bicycle in her community newspaper. her approach demonstrates which component of a smart goal

Her approach demonstrates  REALISTIC component of a smart goal

REALISTIC component of the s.m.a.r.t goal indicates that whenever we formulate a plan, we need to choose a goal that is actually achievable.
For example, if you're just open your computer store, you shouldn't create a goal to 'beat microsoft in the market' within one year, because it is simply impossible to achieve

The  ancient egyptians  who  built the pyramids  may have been  able  to move massive stone blocks across the desert by wetting the sand in front of a contraption  built  to pull the heavy objects

productive most commonly means: achieving or producing a significant amount or result.

explanation:

productive can also mean:

producing or giving rise torelating to or engaged in the production of goods, crops, or other commodities.

these depend on how the word productive is used. most likely productive will mean   achieving or producing a significant amount or result.