Question 12
The academy selects athletes by four criteria:1 plays more than three sports;2 runs 100 metres within 30 seconds;3 is the best player in some sport;4 jumps farther than one metre. Each criterion has a weight, and an athlete is selected when their total weight is strictly greater than a threshold. For example weights 1,4,2,3 and threshold 6 select someone satisfying criteria 2 and 4 because 4+3=7>6. In this recruitment only Bob and Tom are selected. The table shows which criteria each applicant meets.

Rows are criteria 1–4; Alex meets 3,4; Bob 1,2; David 1,4; Henry 2,3; Tom 1,3. Which weights for criteria 1,2,3,4 could produce this result?

Rows are criteria 1–4; Alex meets 3,4; Bob 1,2; David 1,4; Henry 2,3; Tom 1,3. Which weights for criteria 1,2,3,4 could produce this result?