Answer
(3, 2): z = 13
(4, 10): z = 32
(5, 12): z = 39
(7, 4): z = 29
(8, 6): z = 36
Maximum is at (5, 12). Minimum is at (3, 2)
Work Step by Step
Plug coordinates into z = 3x + 2y
(3, 2): 3(3) + 2(2) = 13
(4, 10): 3(4) + 2(10) = 32
(5, 12): 3(5) + 2(12) = 39
(7, 4): 3(7) + 2(4) = 29
(8, 6): 3(8) + 2(6) = 36
The greatest value for z is at (5, 12) when z is 39. The smallest value is 13 at (3, 2)
