Liam wants to plant a small orchard with apples and cherries in a 62-square-foot plot, and he has a budget of $345 for purchasing trees. The apple trees he wants cost $30 each and require 8 square feet each for maximum fruit production. The cherry trees he wants cost $45 each and require 6 square feet for maximum fruit production. If he sells all the fruit, he is able to earn $90 per apple tree and $120 per cherry tree. The system of inequalities that represents this situation, (30x+45y≤345) (8x+6y≤62), is shown graphed in the first quadrant with the number of apple trees along the x-axis and the number of cherry trees along the y-axis.

Which points are the extreme points for the solution set for this situation?

Select all that apply.

(7.75,0)
(11.5,0)
(0,7.67)
(0,0)
(0,10.33)
(4,5)