we are going to proceed to verify each of the cases to determine the solution.
we know that
The combination of raisins and chocolate chips that can the baker use, must be in the triangular region
Let
x-------> the number of possible raisins
y-------> the number of possible chocolate chips
case A. 28 raisins and 20 chocolate chips
we have the point [tex]A(28,20)[/tex]
The point A lie on the triangular region
therefore
The case A is a combination of raisins and chocolate chips that can the baker use
case B. 45 raisins and 10 chocolate chips
we have the point [tex]B(45,10)[/tex]
The point B not lie on the triangular region
therefore
The case B is not a combination of raisins and chocolate chips that can the baker use
case C. 55 raisins and 12 chocolate chips
we have the point [tex]C(55,12)[/tex]
The point C not lie on the triangular region
therefore
The case C is not a combination of raisins and chocolate chips that can the baker use
case D. 33 raisins and 25 chocolate chips
we have the point [tex]D(33,25)[/tex]
The point D not lie on the triangular region
therefore
The case D is not a combination of raisins and chocolate chips that can the baker use
see the attached figure to better understand the problem
