what is the maximum value of P = 3x + 2y with vertices (0,6), (5,6), (0,4), (3,2)

Question

what is the maximum value of P = 3x + 2y with vertices (0,6), (5,6), (0,4), (3,2)

Answer 1

P=3x+2y =3(5)+ 2(6) = 15+12 =27

at (5,6)

27 is the maximum value of P

plug in the other 3 vertices, P<27

(0,6)

3(0)+(2(6)=12

(0,4)

3(0)+2(4)=8

(3,2)

(3)(3)+2(2)=13