Kuhn-Tucker conditions; intermediate microeconomics

[tabako]

What do you mean by highest bundle?

I read the first statement as:
For every good Xi in the vector bundle X, the marginal utility of good i is less than lambda* times the price of that good. (Normally I find these things make more sense when instead of A - B < 0, you change it to A < B)

I have no idea why this would hold, though.