Choice Bhoice C is the correct answer.

1. Solve for y: $2y = 12 - 3x \rightarrow y = 6 - 1.5x$
2. Condition: $y > 0 \rightarrow 6 - 1.5x > 0$
3. Solve: $6 > 1.5x \rightarrow 4 > x$
4. Max Integer: Since $x < 4$, max integer is 3.

Choice Bhoice A is incorrect because if x=4, y=0 (not positive).

Choice Bhoice C is incorrect because 2 is valid but not max.

Choice Bhoice D is incorrect because 5 makes y negative.