The idea of optimization — to find the absolute best method of doing something — contains an element of Ti in it as well, in the sense that you have a fixed goal or framework and need to work within that. Using Te means having a much more holistic attitude, and realizing that perhaps a particular problem is not even worth the use of resources in the first place. Wikipedia gives the example:
A task is to sew a patch onto a pair of jeans. The best needle to do the threading is a 4 inch long needle with a 3 millimeter eye. This needle is hidden in a haystack along with 1000 other needles varying in size from 1 inch to 6 inches. Satisficing claims that the first needle that can sew on the patch is the one that should be used. Spending time searching for that one specific needle in the haystack is a waste of energy and resources.
There is a quote often attributed to Bill Gates (LIE): "I choose a lazy person to do a hard job, because a lazy person will find an easy way to do it." The quote seems not to be by him (which makes sense, as it is really more of an Si-with-Te statement) but it does capture the Te attitude towards resources.