It seems like you want to maximize the objective function \( P = 4x + 7y \), but the constraint is not fully clear. Based on your message, it looks like part of the constraint is \( 3x + y \), but the inequality or equality might be missing.

Please confirm if the constraint is something like:

- \( 3x + y \leq C \) (where \( C \) is some constant)
- \( 3x + y = C \)
- or another form?

Once you clarify, I can proceed with solving the problem for you.

Learn how to maximize the objective function P = 4x + 7y subject to constraints like 3x + y. This problem introduces key concepts in linear programming and optimization. Suitable for students in Grades 10-12.

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