Solution:
The student with the correct objective function and constraints is Dontavious.
her vertices for the correct feasible region is;
[tex](0,8),(3,4),(6,0)[/tex]
he minimum cost of transportation for the field trip is; at (3,4) because it follows the constraint;
[tex]\begin{gathered} x+y\le7 \\ \\ \text{Other regions are above 7} \end{gathered}[/tex]
Hence,
[tex]\begin{gathered} C=300x+200y \\ C=300(3)+200(4) \\ C=900+800 \\ C=\text{ \$1700} \end{gathered}[/tex]
Therefore, the minimum cost is $1,700
