The length of the bulletin board can be determined as,
[tex]\begin{gathered} l=\frac{1728in^2}{34in} \\ l=50.82in \end{gathered}[/tex]The total length of the p number of papers should be less than or equal to the length of the card board,
[tex]11p\leq50.82[/tex]The total height of the p number of papers should be less than or equal to the the height of the card board,
[tex]8.6p\leq34[/tex]Thus, the above two inequalities is the required solution.
