diketahui sistem pertidaksamaan linear : 3x+2y ≤12; x+y≤5 ;x≥0 nilai maksimum fungsi objektif f (x,y) = 2x+3y

3x + 2y <= 12
misal
x = 0 , y = 6 -> (x,y) = (0,6)
f(x,y) = 2x + 3y
f(0,6) = 2(0) + 3 (6) = 0 + 18 = 18

x = 4 , y = 0 -> (x,y) = (4,0)
f(x,y) = 2x + 3y
f(4,0) = 2(4) + 3 (0) = 8 + 0 = 8

x + y <= 5
misal
x = 0 , y = 5 -> (x,y) = (0,5)
f(x,y) = 2x + 3y
f(0,5) = 2(0) + 3 (5) = 0 + 15 = 15

x = 5 , y = 0 -> (x,y) = (5,0)
f(x,y) = 2x + 3y
f(5,0) = 2(5) + 3 (0) = 10 + 0 = 10