We can approach this problem by listing out all the possible combinations of T-shirts and dress shirts and calculating the total cost for each combination.
Possible combinations:
A) Two T-shirts and four dress shirts:
- T-shirts: 2 * $17 = $34
- Dress shirts: 4 * $26 = $104
Total cost: $34 + $104 = $138
B) One T-shirts and four dress shirts:
- T-shirts: 1 * $17 = $17
- Dress shirts: 4 * $26 = $104
Total cost: $17 + $104 = $121
C) Three T-shirts and three dress shirts:
- T-shirts: 3 * $17 = $51
- Dress shirts: 3 * $26 = $78
Total cost: $51 + $78 = $129
D) No T-shirts and five dress shirts:
- T-shirts: 0 * $17 = $0
- Dress shirts: 5 * $26 = $130
Total cost: $0 + $130 = $130
The possible combinations that meet the given criteria (spending no more than the gift certificate and leaving at most $8 unspent) are A) Two T-shirts and four dress shirts, C) Three T-shirts and three dress shirts, and D) No T-shirts and five dress shirts.