How should I solve this problem? Linear Programming? And if, so, any ideas how? I don't know very much about LP.
I have 1200 items. Each item has 8 properties. Each property is scaled from -5 to 5. -5 is worse. 5 is best. I want to select 10 items that will yield the "best" combined group. By best, I value having the sum of each property in the group being more evenly distributed over having the sum of one property really high with the sum of another property being really low.