Question

For the four (x,y) points (1,2), (0,5), (4,1) and (2,3), which point gives the maximum value of the function M = 2x + y?

Answer 1

M = 2x + y

(1,2)
M = 2(1) + 2 = 2 + 2 = 4

(0,5)
M = 2(0) + 5 = 5

(4,1)
M = 2(4) + 1 = 8 + 1 = 9 <==== highest value

(2,3)
M = 2(2) + 3 = 4 + 3 = 7

Answer 2

M=2(4)+1 is the maximum value of the four points.