Need help with designing an algorithm

[samg123]

Hello,

Thank you for helping me with this. I need to design an algorithm for the following.

From the table below, I want to find out a set of 7 names that gives the largest sum of marks possible with keeping the total fees less than 4000.

Just to be clear, here is the problem in different words.

Desired output:
Set of 7 names (Name1,Name2,Name3,Name4,Name5,Name6,Name7)that gives the largest sum of Marks
(Marks1+Marks2+Marks3+Marks4+Marks5+Marks6+Marks7) should be the largest, satisfying the given condition.

Conditions:
Sum of Fees of 7 names is less than 4000.
Fees1+Fees2+Fees3+Fees4+Fees5+Fees6+Fees7 < 4000

Name Marks Fees
A 87 345
B 4 897
C 87 432
D 34 435
E 6 345
F 3 789
G 9 78
H 8 345
I 7 879
J 8 324
K 87 789
L 43 4536
M 65 234
N 87 897
O 65 978
P 23 324
Q 89 342
R 9 789
S 87 34
T 76 234
U 654 897
V 76 23
W 879 435
X 0 897
Y 435 54
Z 56 23


I really appreciate your response.

Regards!