What is the maximum value of P = 4x + 2y, given the constraints on x and y listed below?

P = 4x + 2y

additional info.

x+2y < 10

y < 2

x > 0

y > 0

y can only be 0, 1, and 2.

x + 2 (0) < 10 = x < 10

x + 2 (1) < 10 = x + 3 < 10 = x < 10 - 3 = x < 7

x + 2 (2) < 10 = x + 4 < 10 = x < 10 - 4 = x < 6

x = 10; y = 0 : P = 4 (10) + 2 (0) = 40 + 0 = 40

x = 7; y = 1 : P = 4 (7) + 2 (1) = 28 + 2 = 30

x = 6; y = 2 : P = 4 (6) + 2 (2) = 24 + 4 = 28

The maximum value of P is 40. Where x is 10 and y is 0.