No Links Anton wants to plant a small orchard of apple trees and cherry trees in his backyard. He has a budget of $1,000, and

Question

2 years ago

5

No Links Anton wants to plant a small orchard of apple trees and cherry trees in his backyard. He has a budget of $1,000, and

his plot has a maximum of 100 square feet. The apple trees he wants cost $40 each and require 5 square feet. The cherry trees he wants cost $50 each and require 4 square feet.
The following first-quadrant graph shows the system of inequalities that represents the situation,

5x+4y≤1005x+4y≤100

40x+50y≤100040x+50y≤1000

with the number of apple trees along the x-axis and the number of cherry trees along the y-axis.
Which combination of trees is a viable solution for this situation?

Group of answer choices There are more than one answer

A) 0 apple trees and 25 cherry trees

B) 24 apple trees and 0 cherry trees

C) 12 apple trees and 6 cherry trees

D) 20 apple trees and 4 cherry trees

E) 14 apple trees and 11 cherry trees

Mathematics