Algorithm for finding out the cheapst combination

Question

Hello, I have a few sets which are like

SET A(1,2,3,11,10)  - $30
SET B(2,5,8)        - $20
SET C(6)             -$25
SET D(6,8)           -$30
SET E(7,5)           -$20
SET F(5,6,7,8,9,10)  -$60
.
.
.

and so on... All are random, Now consider sets D,E and F I want to buy the cheapest combination for a set, SET Q(7,8,6,5) the answer should be SET D + SET E, not the SET F

Please link... thanks

Answer 1

Brute force.

Answer 2

This problem is called Weighted Set Covering.

You'll get lots of results searching for that term on Google.